department of mathematics - king's college london · 2015-12-08 · this handbook is intended...
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Department of Mathematics
How the System Works A Handbook for Undergraduate Students – 2007/08
School of Physical Sciences & Engineering
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Department of Mathematics How the System Works
2007-2008
A Handbook for Undergraduate Students
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CONTACT DETAILS Department of Mathematics Tel: 020 7848 2217 King’s College London Fax: 020 7848 2017 Strand Email: [email protected] London WC2R 2LS Website: www.mth.kcl.ac.uk
Name Ext No Room No Email Address Dr A Annibale 1443 531 Dr AD Barnard 2245 25DM [email protected] Mrs MJ Bennett-Rees 1071 24DM [email protected] Ms F Benton 2216 431 [email protected] Dr M Breuning 1212 408 [email protected] Prof DJ Burns 2863 418 [email protected] Dr A Charafi 2676 405 [email protected] Prof ACC Coolen 2235 406 [email protected] Miss R Cullen 2107 432 [email protected] Prof EB Davies 2698 420 [email protected] Prof F Diamond 1068 421 [email protected] Dr S Fairthorne 2877 25DM [email protected] Dr WJ Harvey 2828 23DM [email protected] Mr D Haydayenko 543 [email protected] Dr LH Hodgkin 2828 23DM [email protected] Prof PS Howe 2853 419 [email protected] Prof LP Hughston 2855 535 [email protected] Dr A Jack 2226 537 [email protected] Miss G John 2217 432 [email protected] Dr P Kassaei 2225 407a [email protected] Dr R Kühn 1035 413 [email protected] Dr N Lambert 1222 408a [email protected] Dr LJ Landau 2219 422 [email protected] Dr DA Lavis 2240 22DM [email protected] Dr A Lökka 2223 528 [email protected] Dr BL Luffman 1071 24DM [email protected] Prof D Mackinson 1443 405 [email protected] Dr A Macrina 536 2633 [email protected] Prof G Papadopoulos 2227 417 [email protected] Dr I Pérez Castillo 2860 407 [email protected] Dr M Pistorius 2852 530 [email protected] Prof AN Pressley 2975 430 [email protected] Dr A Pushnitski 1167 532 [email protected] Dr HC Rae 1071 24DM [email protected] Dr A Recknagel 2244 410 [email protected] Dr K Rietsch 2218 405 [email protected] Dr FA Rogers 2242 528 [email protected] Dr I Runkel 2854 412 [email protected] Prof Y Safarov 2215 417 [email protected]
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Prof PT Saunders 2218 25DM [email protected] Dr SG Scott 2778 409 [email protected] Dr E Shargorodsky 2676 411 [email protected] Prof W Shaw 1119 524 [email protected] Dr JR Silvester 2864 413a [email protected] Prof PK Sollich 2875 525 [email protected] Dr DR Solomon 1165 415 [email protected] Mr D Wade 2817 16BB [email protected] Dr GMT Watts 1013 414 [email protected] Prof PC West 2224 434 [email protected]
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Alternative formats statement: The material in this handbook can be provided in alternative formats such as large print, Braille, tape and on disk upon request to Susanna McFeely, School Disability Advisor (020 7848 2696/[email protected]). Preface This handbook is issued to every undergraduate student in the Mathematics Department. The information it contains has been compiled by the Department and the School Office, and is valid for the 2007-2008 academic session only. Some of the items in this handbook refer to rules and regulations that apply to students in the Mathematics Department only, others to all students in the School of Physical Sciences and Engineering. Please note that any rules and regulations outlined in this handbook exist in addition to College Regulations. No information given in this booklet overrides any regulation set by the College. Further information You may find it useful to know the following contact numbers and websites: Mathematics Department Academic Staff Head of Department Professor Andrew Pressley (020 7848 2975) Chair of Staff/Student Committee Professor Andrew Pressley (020 7848 2975) Senior Tutor Dr Simon Scott (020 7848 2778) UG Admissions Tutor Dr David Solomon (020 7848 1165) UG Chair of Exam Board Dr Reimer Kühn (020 7848 1035) Mathematics Departmental Office Staff Undergraduate Administrator Miss Grace John (020 7848 2217) Postgraduate Administrator Miss Rebecca Cullen (020 7848 2107) Departmental Administrator Ms Frances Benton (020 7848 2216) Fax Number for office Fax: 020 7848 2017 General Enquiries Tel: 020 7836 5454
Email: [email protected] College Registry Tel: 020 7848 3371/3370 Fax: 020 7848 3400 Web: www.kcl.ac.uk/about/structure/admin/acareg School Office Tel: 020 7848 2267/2268/2521 Fax: 020 7848 2766 Web: www.kcl.ac.uk/pse Email: [email protected] Emergency Tel: 2222 Security Tel: 2874
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Disclaimer The information in this booklet was compiled in May 2006. Whilst every attempt has been made to ensure that details are as accurate as possible, some changes are likely to occur before or during the 2006-2007 session. You are advised to check important information either with the School Office or with your personal tutor. If you notice any errors, please tell your personal tutor.
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Contents Alternative formats statement:..........................................................................................v Preface.............................................................................................................................v Further information...........................................................................................................v Disclaimer ....................................................................................................................... vi Contents......................................................................................................................... vii
1. INTRODUCTION .............................................................................................................1 About your Departmental Handbook ................................................................................1 History of the Department of Mathematics .......................................................................1 Mission Statement............................................................................................................3 Term dates 2006-2007.....................................................................................................3
2. ADMINISTRATIVE MATTERS.........................................................................................4 The Mathematics Departmental Office.............................................................................4 The School of Physical Sciences and Engineering ..........................................................4 The School Office.............................................................................................................4 The Tutor System.............................................................................................................4 The Senior Tutor ..............................................................................................................5 The Link-up System .........................................................................................................5 How we contact you .........................................................................................................5 Matters regarding attendance and absence .....................................................................6
3. FACILITIES AND SERVICES FOR STUDENTS .............................................................6 Computing Facilities .........................................................................................................6 Accommodation ...............................................................................................................6 Careers Service ...............................................................................................................7 Counselling Service..........................................................................................................8 Dean’s Office and Chaplaincy ..........................................................................................8 Disability...........................................................................................................................9 Equality and Diversity Department .................................................................................10 Health.............................................................................................................................11 International Students ....................................................................................................11 Student Funding at King’s ..............................................................................................11 Student’s Union..............................................................................................................12 Welfare and Advice Service ...........................................................................................13 Information Services and Systems.................................................................................15
4. ORGANISATIONS FOR STUDENTS ............................................................................19 MathSoc .........................................................................................................................19 KCLSU ...........................................................................................................................19
5. GENERAL SCHOOL PROCEDURES ...........................................................................20 The Course Unit System: How it Operates.....................................................................20 Course Unit Registration ................................................................................................21 Change of address.........................................................................................................22 How to change course/programme, interrupt your studies or withdraw from College ....22 Student letters ................................................................................................................23 Student ID Cards............................................................................................................23 Other ID and documentation ..........................................................................................23 School policies ...............................................................................................................24 Grievance Procedure .....................................................................................................24
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6. GENERAL DEPARTMENTAL INFORMATION..............................................................25 Local Safety Procedures ................................................................................................25 Staff/Student Committee ................................................................................................25 Prizes for Students 2006 ................................................................................................26
7. STUDYING IN THE DEPARTMENT OF MATHEMATICS .............................................27 The Semester System....................................................................................................27 Code of Conduct ............................................................................................................28 Lectures and Tutorials....................................................................................................29 Walk-in Tutorials ............................................................................................................29 Pop-In Tutorials..............................................................................................................29 Coursework ....................................................................................................................30 Does Coursework Count? ..............................................................................................31 Class Tests in Year 1 .....................................................................................................31 Monitoring of Progress ...................................................................................................32 Student Presentations ....................................................................................................32 Evaluation of Presentations............................................................................................32 Workload ........................................................................................................................33 Submission of Projects and Essays ...............................................................................33
8. EXAMINATION REGULATIONS ...................................................................................34 Old and New Regulations...............................................................................................34 Course Units – How many do I need to pass for a degree?...........................................34 How long are the examinations? ....................................................................................34 When are degree examinations held?............................................................................34 Examination Papers .......................................................................................................34 Rubrics ...........................................................................................................................35 Calculators .....................................................................................................................35 Degree Titles..................................................................................................................36 Registration for Examinations ........................................................................................36 Special Examinations Arrangements..............................................................................36 Attendance at Examinations...........................................................................................37 Mitigating Circumstances: Withdrawal from Examinations or Extension of Deadlines ...37 Appeal against a decision of a Board of Examiners ......................................................39 Award of Honours ..........................................................................................................39 Examination Results.......................................................................................................40 College Debtors and Release of Examination Results ...................................................41 Progression ....................................................................................................................41 August Resit Procedure .................................................................................................42 Resitting Examinations...................................................................................................43 Overseas examinations..................................................................................................44 BSc/MSci transfers.........................................................................................................44 All your own work? .........................................................................................................44 Cheating.........................................................................................................................45 Collusion ........................................................................................................................45 Fabrication .....................................................................................................................45 Plagiarism ......................................................................................................................45
9. PROGRAMMES OF STUDY .........................................................................................46 Single subject honours ...................................................................................................46 Joint honours..................................................................................................................46 Mathematics BSc/MSci ..................................................................................................48 Mathematics with Philosophy of Mathematics BSc/MSci ...............................................52
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Mathematics with Education BSc ...................................................................................56 Mathematics with Management and Finance BSc .........................................................58 Mathematics and Computer Science BSc ......................................................................61 Mathematics and Computer Science MSci.....................................................................63 Mathematics and Computer Science (Management) BSc..............................................66 Mathematics and Management BSc ..............................................................................68 Mathematics and Physics BSc .......................................................................................70 Mathematics and Physics MSci......................................................................................73 Mathematics and Physics with Astrophysics BSc ..........................................................76 French and Mathematics BA .........................................................................................78 Mathematics and Philosophy BA....................................................................................81 Change of Degree Course .............................................................................................84
10. COURSE UNIT LISTING .............................................................................................84 CM111A Calculus I......................................................................................................85 CM112A Calculus II.....................................................................................................87 CM113A Linear Methods.............................................................................................88 CM115A Numbers and Functions ...............................................................................89 CM121A Introduction to Abstract Algebra ...................................................................92 CM122A Geometry I....................................................................................................92 CM131A Introduction to Dynamical Systems ................ Error! Bookmark not defined. CM141A Probability and Statistics I ............................................................................94 CM211A Partial Differential Equations and Complex Variable ....................................97 CM221A Analysis I ......................................................................................................99 CM222A Linear Algebra ............................................................................................101 CM223A Geometry of Surfaces ................................................................................102 CM224X Elementary Number Theory .......................................................................103 CM231A Intermediate Dynamics...............................................................................104 CM232A Groups and Symmetries.............................................................................105 CM241X Probability and Statistics II .........................................................................106 CM2501 Joint Honours Algebra....................................Error! Bookmark not defined. CM2504 Applied Analytic Methods ............................... Error! Bookmark not defined. CM251X Discrete Mathematics.................................................................................109 CM320X Topics in Mathematics................................................................................110 CM321A Real Analysis II...........................................................................................113 CM322C Complex Analysis.......................................................................................114 CM326Z Galois Theory .............................................................................................115 CM327Z Topology.....................................................................................................116 CM328X Logic...........................................................................................................117 CM330X Mathematics Education and Communication .............................................118 CM331A Special Relativity and Electromagnetism....................................................120 CM332C Introductory Quantum Theory.....................................................................121 CM334Z Space-Time Geometry and General Relativity ...........................................122 CM338Z Financial Mathematics................................................................................123 CM354X Operational Research I ..............................................................................124 CM356Y Linear Systems with Control Theory...........................................................124 CM357Y Introduction to Linear Systems with Control Theory ...................................126 CM359X Numerical Methods ....................................................................................127 CM360X History and Development of Mathematics ..................................................128 CM414Z Operator Theory .............................................Error! Bookmark not defined. CM418Z Fourier Analysis..........................................................................................129
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CM424Z Lie Groups and Lie Algebras ......................................................................131 CM433Z General Relativity ...........................................Error! Bookmark not defined. CM435Z Point Particles and String Theory ...............................................................133 CM436Z Quantum Mechanics II ...............................................................................134 CM437Z Manifolds ....................................................................................................135 CM438Z Quantum Field Theory................................................................................136 CM439Z Introduction to Supersymmetry....................... Error! Bookmark not defined. CM451Z Neural Networks.........................................................................................138 CM467Z Applied Probability and Stochastics ...........................................................140 Projects ........................................................................................................................141 The BSc Project Option (CM345C) ..............................................................................142 The MSci Project (CM461C) ........................................................................................142
11. OPTIONAL EXTRAS TO SUPPLEMENT YOUR DEGREE PROGRAMME ..............143 Associateship of King’s College (AKC).........................................................................143 English Language Centre.............................................................................................143 Modern Language Centre ............................................................................................143 Final-Year courses given elsewhere ............................................................................144
12. TIMETABLE(S) 2006/2007 ........................................................................................144
13. CHANGE OF ADDRESS FORM................................................................................145
14. STATEMENT ON PLAGIARISM................................................................................146
15. SAFETY CHECK LIST...............................................................................................147
16. INDEX........................................................................................................................148
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1. INTRODUCTION About your Departmental Handbook This handbook is intended as a guide for all undergraduate students in the Department of Mathematics, King’s College London, during the academic session 2007-2008. It should be your first point of reference should you need to know anything about the Department, and it also provides general information for all students within the School of Physical Sciences and Engineering. In this booklet you will find information about the Department, the School and the College; details of important procedures which you will need to follow during the session; assessment information; and details of programmes and units available in the Department. In addition, you will find plenty of other information that we are sure you will find useful, such as contact names and numbers, and facilities and services available to you in the College. We hope you find this handbook a useful accompaniment to your studies at King’s College, and wish you an enjoyable and successful year. History of the Department of Mathematics Mathematics has been studied at King's throughout its history and the first Professor of Mathematics was appointed in 1830. Since then the Mathematics Department has established a record of accomplishments in central areas of pure mathematics and physical applied mathematics. It received a rating of 5 in both pure and applied mathematics in the 2001 Research Assessment Exercise. The Department provides degree programmes and course modules for both undergraduate and postgraduate degrees in mathematics. Its teaching programmes are influenced by the research interests and activities of the staff. The Department is a member of the School of Physical Sciences and Engineering at King's. The Departments of the School together provide a wide range of degree programmes and course modules in mathematics, computer science, physical sciences and engineering, from first year to postgraduate level, and in a variety of modes from full- and part-time to continuing education.
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Structure of the Department of Mathematics Head of Department and Professor of Mathematics: Professors: DJ Burns, MA, PhD CJ Bushnell, BSc, PhD, FKC ACC Coolen, MSc, PhD EB Davies, MA, DPhil, FRS, FKC FI Diamond PhD PS Howe, BSc, PhD LP Hughston, MA, DPhil GPapadopoulos, PhD FA Rogers, BA Phd YSafarov, BSc, PhD, DSc WT Shaw, MA, DPhil Pk Sollich, MPhil, PhD PC West, BSc, PhD, FRS Emeritus Professors of Mathematics: DC Robinson, MSc, PhD PT Saunders, BA, PhD RF Streater, BSc, PhD, DIC, LFS, ARCS JG Taylor, BSc, MA, PhD Readers: R Kϋhn, PhD LJ Landau, MA, PhD AH Recknagel, PhD SG Scott, BSc, DPhil E Shargorodsky, MSc, PhD DR Solomon, BA, PhD GMT Watts, BA, PhD Emeritus Reader: JA Erdos, MSc, PhD WJ Harvey, BSc, PhD Advanced Fellows: KC Rietsch, MA PhD Senior Lecturer: JR Silvester, MA, PhD Lecturers: A Annibale PhD M Breuning PhD A Jack PhD PL Kassaei PhD ND Lambert, BSc PhD A Lokka, PhD A Macrina PhD MJ Pistorius MSc PhD AB Pushnitski, PhD I Runkel, MSc PhD
Professor AN Pressley, MA, DPhil Honorary Visiting Appointments: Professors: DI Olive FRS Senior Research Fellows: M Crampin, BA, MA, PhD FAE Pirani, BSc, MA, PhD, DSc DA Lavis, BSc, PhD, FInstP, FIMA Senior Lecturer: A R Pears, MA, PhD Research Fellow: AD Barnard, MA, PhD CJ Hunter, BSc, PhD Visiting Reader: LH Hodgkin, BA, DPhil Visiting Senior Lecturer: HC Rae, BSc, PhD Visiting Lecturers: J Bennett-Rees, MA A Charafi, PhD S Fairthorne, BSc BL Luffman, BSc, PhD MAKINSON Administrative Staff Departmental Administrator Frances Benton, BA Undergraduate Administrative Assistant Sarah Cooper Postgraduate Administrative Assistant Rebecca Cullen Technician Staff Dennis Haydayenko Dan Wade
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Mission Statement The College’s Mission Statement is:- The College is dedicated to the advancement of knowledge, learning and understanding in the service of society. Since its foundation in 1829, King's has come to occupy a leading position in higher education in the UK and to enjoy a world-wide reputation for teaching and research. The College's objective is to build on this reputation and to have all its research and teaching activities judged excellent by peer review. King's, in line with its founding principles, will continue to foster the highest ethical standards in a compassionate community. This all-embracing pursuit of excellence will touch every part of the College and its constituencies: Staff: The College will continue to appoint outstanding academic and support staff. Training and staff development programmes will help staff to reach their full potential. A continuous programme of improvement of all College facilities will underpin research of the highest standard. Students: King's will continue to encourage applications from students of all backgrounds, selecting only on the grounds of academic merit and potential. Students will study in a research environment which values scholarly enquiry and independence of thought and will enjoy high levels of staff contact, free and open discussion, and flexible course structures. All students will be encouraged to follow an additional course, the Associateship of King's College, which further challenges them to think systematically about their values and beliefs. Location: The College's location in the heart of London brings special advantages and responsibilities. King's will utilise its location to promote the exchange of ideas and skills with government and the business community, the professions, the arts and the world of education. Society: The College, by capitalising on its position, will bring informed influence to bear on national and international decision makers. It will also meet its obligations to society by undertaking and disseminating the results of research, and by producing balanced and well educated graduates. Term dates 2006-2007 Monday 25 September 2006 - Friday 15 December 2006 (12 weeks) Monday 8 January 2007 - Friday 23 March 2007 (11 weeks) Monday 23 April 2007 - Friday 8 June 2006 (7 weeks) Departmental Registration Thursday 21 September - Friday 22 September 2006 First Semester Monday 25 September - Friday 15 December 2006 Reading Week Monday 6 November - Friday 10 November 2006 January Exams Monday 8 January - Friday 12 January 2007 Second Semester Monday 15 January - Friday 23 March 2007 Revision/Teaching Weeks Monday 23 April - Friday 4 May 2007 Summer Exams Monday 7 May - Friday 8 June 2007 Resits/Replacements Monday 14 August - Friday 24 August 2007 Graduation Dates Tuesday 17 July - Tuesday 24 July 2007
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Students are expected to be available on all of the above dates (a specific graduation date will be given nearer the time). Coursework deadlines will not be extended and neither will other special arrangements be made simply because a student has made travel arrangements which are within these semesters. 2. ADMINISTRATIVE MATTERS The Mathematics Departmental Office The Departmental Office is open to students from 10.30am–12.30pm and 2.30pm– 4.30pm, Monday to Friday, except on Wednesdays when the office is closed for the afternoon. The office is located on the 4th Floor, Strand Building, Room 432. The School of Physical Sciences and Engineering The School of Physical Sciences and Engineering comprises the Departments of Chemistry, Computer Science, Construction Law and Management, Mathematics, Physics and the Division of Engineering (Electronic and Mechanical). The Head of School is Professor Michael Yianneskis. Each Department or Division also has its own Head. Examination business is co-ordinated by the Chairmen of Undergraduate Programme Boards (each department has its own Programme Board). The business of the Undergraduate Programme Boards is co-ordinated by the School Undergraduate Examination Board, which in turn reports to the College Examination Board. The School Office The School Office is the central administrative office for the whole School. The student administrative database is maintained here, and the office provides a central point of contact for Undergraduate and Postgraduate Admissions, School Accounts, School Committees and general advice on College Regulations. The School Office maintains your record on the official College student administrative database, and it is your responsibility to ensure that details such as your address, examination entry, emergency contact details, etc., are correct. Some of this can be done by using myKCL, the web portal for students, which you can access via the College’s website. It is important that you inform both the Department and the School Office about any changes in your circumstances. The School Office is located on the Strand campus, B-corridor of the main building (ground floor) in room 34B. Office hours are from 9.30-12.30 and from 14.00-16.30. The School Office closes at 15.30 on Wednesday. The Tutor System Each student (whether single subject or joint honours) will be assigned a Personal Tutor in the Mathematics Department. Personal Tutors are a primary point of contact between the student and the College and, whenever possible, a student will have the same tutor throughout his or her entire career. They can be consulted about academic, financial or personal matters; where problems are serious, the tutor will help the student find more specialised help. The Department looks to Personal Tutors for information about students, for example, on attendance, examinations performance, other college activities, outside interests and so on. Personal Tutors may speak on behalf of their Tutees on occasions
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such as examiners meetings. At the end of their college careers students will want their tutors to write testimonials and references supporting applications for employment or further courses. The Department places great importance on the tutorial system; its function depends critically on students keeping in contact with their Personal Tutors. Students are entitled to make appointments with their Personal Tutors, who can be seen at short notice in an emergency. Students must make themselves known to their Personal Tutor on enrolment day, and are strongly urged to keep in regular contact. You should be aware that there are College regulations which state that if a member of College staff knows of any activity which contravenes College regulations (e.g. drug abuse), they should report it to the Academic Registrar. If you wish to discuss matters of a sensitive nature, you may find it more appropriate to visit a College Counsellor, who will maintain confidentiality as far as possible. The Senior Tutor The Senior Tutor also plays a pastoral role for all students and may be approached whenever students feel that it would be appropriate to do so. In exceptional circumstances students are permitted to change their tutor by making a request to the Senior Tutor or, if necessary, the Head of Department. The Link-up System Following recommendations from the Staff-Student Committee, a Link-Up Scheme has been established between incoming first and second year mathematics students, and between second and third/fourth year students. The aims of the scheme are to make the transition to university as smooth and enjoyable as possible for incoming students, and to provide a network of contacts between first, second and third year students with the purpose of providing academic and social advice. Further information about this scheme will be circulated at the beginning of the academic year. How we contact you Important avenues of communication used by students and staff are the departmental notice boards and pigeon-holes, and the College electronic mail network. The Mathematics Department Notice Boards are situated opposite the Departmental Office on the fourth floor of the Strand Building. There is also a student notice board in room 437. Student pigeon-holes are located in Room 437, and staff pigeon-holes are in the staff common room on the 5th floor. If you have any correspondence for a member of staff, you should leave it with the Undergraduate Administrator in the Departmental Office, or post it through the letterbox in the door, if outside office hours. The College email system can be accessed at all PAWS machines and via the web. Each student is required to sign a form to indicate that they realise their responsibilities to regularly check three things: the urgent notice board opposite the door to the Mathematics Department Office (Room 432), her/his pigeon hole in Room 437 and her/his email to their College email address (which has the standard form [email protected]). Each student is also required to supply term-time and home addresses, and to inform the School Office of any changes. You can also make amendments yourself online, via myKCL. A student is responsible for the consequences of not receiving information conveyed by these means.
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Matters regarding attendance and absence Students are of course normally expected to attend all lectures, tutorials and other classes for all their course units. A copy of the School’s policy on attendance and absenteeism is available online at: www.kcl.ac.uk/depsta/pse/schoff/guidance/attendance.html. Absence is permissible under certain circumstances (such as illness) but students are generally expected to attend as regularly as possible. [Regulation B2 2.1.3 is available via: www.kcl.ac.uk/about/governance/regulations/students.html . Any student who is absent from College for 7 days or more because of illness, or for some other reason, should keep her or his Personal Tutor informed of the circumstances. Medical certificates should be handed in to the Departmental Office, Room 432. Information about medical and other difficulties is important when decisions are made regarding progress to later years and eventually final degree classification. The information is also significant in relation to coursework assignments and assessments which are carried out during the course of the year. If the illness or other problem is of a confidential nature, the Personal Tutor, Senior Tutor or some other staff member can keep detailed information privately, and will, on request, give a note to be filed in the office stating the existence of the document, the implications it has for the student's performance, and information as to which member of staff has charge of the document. The actual document will then be seen only by those, such as external examiners and the Chairman of the Board of Examiners, who need the information to fully assess a student's performance. 3. FACILITIES AND SERVICES FOR STUDENTS Computing Facilities All students studying mathematics as part of their degree will attend one or more course units with a computing component. In addition to this, electronic mail (e-mail) is used for the dissemination of information to students and for communication between students and their tutors, and students are required to check their e-mail regularly. All new students will be registered automatically to use the College e-mail system. Terminal facilities are widely available throughout all the campuses of the College and at some halls of residence. Accommodation General Overview The Accommodation Office processes applications to the King's College and Intercollegiate residences. A broad range and choice of accommodation is offered. Our policy is to encourage integration within the residence populations from all academic programmes represented at the College. Mid session waiting list A centralised, mid-session waiting list for vacancies at the King's College residences is maintained throughout the session. Students wishing to be considered for a place in College residence after the beginning of the academic session should apply through this waiting list which opens on the second Wednesday of session. Applicants are encouraged to submit their accommodation preferences on-line, and password details are available
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through myKCL. Enquiries concerning mid-session vacancies at the Intercollegiate halls should be made direct to the individual hall, and contact details are available on the Accommodation web pages. Current student applications Current students wishing to apply for a place in a College or Intercollegiate residence for a subsequent session should apply during the Spring semester. Applicants are encourage to submit their accommodation preferences on-line and password details are available through myKCL. The closing date for applications is 15 March in the year of application. Late applications will be accepted but have lower priority. Allocations are undertaken by random computer ballot during the Easter vacation. Applicants are considered in order of their priority (e.g. year of study and number of previous years in residence) and an applicant may be offered any of the available places within the current student quota. Smoking in College Residences From September 2006 smoking is not permitted in any internal areas of the College Residences and residents must not smoke or permit their visitors or guests to smoke whilst in the Residence buildings. Smoking in the Residence grounds is not permitted except in areas at some Residences which will be designated for this purpose. Private accommodation The Accommodation Office also holds lists of privately let properties and hostels as well as details of properties managed by the University Head Lease scheme and a Sharers’ List. Students may access the University of London web-site www.lon.ac.uk/accom which features an extensive list of flats, houses, flat-shares and bedsits. Rents are, on average, slightly below market rents. Please note that a password is required for use of the University Site and this may be obtained by contacting the Accommodation Office or the University of London Accommodation Office. Contact Details: College Accommodation Office Room 2B, Main Building King's College London Strand, WC2R 2LS Tel: 020 7848 2759 Fax: 020 7848 2724 Email: [email protected] Web site: www.kcl.ac.uk/accomm Opening Hours 09:45 to 13:00 and 14:00 to 16:00 on weekdays, except Thursdays and College closure. Telephone calls are accepted on weekdays from 09.30 to 13.00 and 14.00 to 17.00. Careers Service The main office of the Careers Service is on the Waterloo Campus. Here there is an extensive reference library with information on different jobs and further courses, including
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a special section on international opportunities. Vacancy listings include part-time jobs and vacation internships as well as permanent jobs. Both here and at the Strand satellite office (open term time only) the information officers will help with your enquiries and the careers advisers are available for informal consultations. The termly programme of activities includes careers fairs and forums, employer presentations and skills workshops. See the website www.kcl.ac.uk/careers for full details of what is on offer and up to date listings of events. Contact details: Waterloo Campus Ground floor, James Clerk Maxwell Building Monday-Thursday 9.30am-5pm; Friday 12 noon-5pm. Advisers available for consultations without pre booking Monday-Thursday 11am-5pm in term, 2-5pm in vacations. Strand Campus Room 1E, Main Building Monday-Thursday 12.45-5pm, term time only. Advisers available for consultation without pre booking Monday-Thursday 1-5pm in term Guys’ Campus An adviser is usually available in the Welfare Office in Henriette Raphael House on Wednesdays between 11am-4pm in term. Counselling Service Counsellors work within Student Services and in the Counselling, Welfare and Health Centres on the main campuses at Strand, Waterloo, Guy’s and Denmark Hill. Their aim is to enable you to make the most of the opportunities offered at the College by helping you cope with any problems or difficulties of a personal or emotional nature that may arise, whether or not they affect your studies. All the help offered is strictly in confidence. Should you feel confused, isolated, anxious or unhappy, you may find that talking about it helps. Contact details: For details of how to make an appointment please contact [email protected] or telephone 020 7848 1731. Further information on counselling can be found at www.kcl.ac.uk/studentservices. Dean’s Office and Chaplaincy The Dean, the Revd Dr Richard Burridge, is a senior member of the College staff and is responsible for ensuring that the religious and spiritual purposes of the College are carried out. The Dean has a special interest in the health, accommodation and welfare of all staff and students, regardless of belief or background. Please contact the Dean's PA, Clare Dowding (020 7848 2333, email [email protected]) if you wish to consult the Dean on any personal matter. The Associateship of King's College A popular part of the tradition of the College is the lecture course, concurrent with your degree programme, which tackles the fundamental questions of value and belief that arise for any university student. It is the only course which students of every department are entitled to join. Weekly lectures lasting an hour are provided in the Michaelmas and Lent
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semesters, at 12 noon on Mondays at the Strand site, and videos of the lecture are then shown at the Waterloo, Guy’s and Institute of Psychiatry campuses during the week. Details of rooms on each site can be found in the AKC programme booklet. Staff in the Dean’s Office (see above) administer the AKC and can answer any questions. The AKC website, www.kcl.ac.uk/akc, gives more details, handouts and a discussion board. The College Chaplaincy The Chaplaincy team is part of the Dean’s Office and there are offices at the Strand, Waterloo and Guys. Members of College are always welcome to drop into these offices. The chaplains are available to all students to listen to any matter they may care to raise, in complete confidence. The Strand Chaplains are The Revd Tim Ditchfield (Anglican), Father Paul Graham (Roman Catholic), and Father Alexander Fostiropoulos (Orthodox Church). They are based in room 21C. Phone 020 7848 1808, email [email protected]. The Chaplaincy Office at the Strand is room A504 in the Philosophy Building (East Wing). The Waterloo Chaplain is the Revd Jane Speck (Anglican). The Chaplaincy office is Room 1.1 in the Franklin-Wilkins Building. Phone 020 7848 4343, email [email protected] The Guy’s Chaplains are the Revd James Buxton (Anglican) and Joan Tierney (Roman Catholic). The Chaplaincy Office is in the Mezzanine, Henriette Raphael House. Phone 020 7848 6940, email [email protected]. For details of services and special events, visit www.kcl.ac.uk/chaplaincy, email [email protected], or telephone 020 7848 2373. Places to pray and worship in College The College Chapel is a beautifully restored Victorian Chapel and has regular weekday services for all the major Christian traditions. The Chapel is open for private prayer and reflection all day during the week. See the website for more details about the chapel. The Chapel of Thomas Guy is a beautiful Chapel with regular services and is a place of peace and quiet for private prayer and reflection. The Waterloo prayer room (FWB 1.2) is open to people of all faiths for private prayer and reflection. For further information contact the Waterloo Chaplain. Islamic Prayer Rooms are provided at the Strand (1st Basement Strand Building), Waterloo (between the Management Centre and the main reception desk on the 1st floor FWB) and Guy's (Top floor, Doyle House) campuses. The prayer rooms are administered through the Dean's office. For further information about them, contact the Dean's office (see Dean in this section for contact details), or the KCL Student Union Islamic Society (contact via KCLSU). Disability King’s is keen to encourage students to inform the College about any specific needs you may have in relation to a health condition, disability or dyslexia. A wide range of support is available for students with disabilities and the Disability Support Team, based within the Equality and Diversity Department, can assist in a number of ways. All enquiries made to the Department are dealt with sensitively and in confidence. In addition, each School has a dedicated Disability Adviser who can help answer any course-based access enquiries you may have. Contact details for each School Disability
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Adviser can be found on the Equality and Diversity web pages at: www.kcl.ac.uk/equal_opps/schools.html. Support that may be useful includes special examination provisions, specific services when using the library and Information Service Centres such as extended loans, specialist equipment and dyslexia support. Related funding support needs If you are a home-domiciled, full or part time undergraduate student, you may be eligible for the Disabled Students’ Allowance. This is a financial package which helps to cover the extra costs of studying with a disability such as notetakers, assistive technology such as computers or recording devices and extra photocopying costs. King’s has also established a fund dedicated to supporting International and EU students with disabilities. Contact the Disability Support Team for more information regarding eligibility and details on how to apply. More detailed information for students with disabilities can be found in the College’s Disability Guide which is available from School Offices or via the Equality and Diversity web pages. Alternatively, you can contact a member of the Disability Support Team with any questions about studying at the College with a disability: Dyslexia If you are dyslexic, you may also need support from the Disabled Students’ Allowance, additional time for examinations or extended library loans. In order to access funding or examination arrangements, a detailed, up to date Educational Psychologist’s report will be needed. This can be obtained when you arrive at the College, financial assistance and recommended Psychologists can be accessed via the Disability Support Team. In addition, if you think you may be dyslexic, you can talk through your concerns with a member of the team in confidence, for further advice about getting an assessment. The Department has a dedicated Dyslexia Adviser who is able to provide one-to-one study skills support and learning strategies. Appointments can be booked with the Adviser using the contact details below. Contact details: Equality and Diversity Department, Room 7.36, James Clerk Maxwell Building, Waterloo Campus, Waterloo Road, London SE1 8WA. Tel: 020 7848 3398 Email: [email protected] Equality and Diversity Department As well as a wide range of clubs and societies to help meet the diverse needs of the student population at King’s, the College also has a dedicated department to promote and encourage equality and diversity at King’s. The Equality and Diversity Department can provide advice and information, as well as associated activities and events to raise awareness of equality and diversity issues. The Department has a number of useful web pages providing up to date information such as the College’s Race Equality Policy and disability-related information sheets. Visit www.kcl.ac.uk/equal_opps/index.html for more details, or email [email protected].
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Health King’s College Health Centre is an NHS practice for staff and students of King’s College who live in inner London. The Centre is situated on the 3rd floor Macadam Building, Strand Campus. The Centre is nurse-led with full GP services including 24 hour emergency cover, Monday to Friday nurse walk-in clinic and booked nurse and GP appointments as well as an in-house sexual health service. Details about how to register and full details about clinics and services that are available can be obtained by visiting reception at the Centre, phoning 020 7848 2613 or visiting our website: www.kingshealth.nhs.uk. It is important to register with a GP in London as soon as you arrive – don’t wait until you become ill. If you don’t wish to register at the College you will need to register with a GP local to where you live. Information on how to do this can be found at: www.nhs.uk – remember you can only have one NHS GP and this needs to be in London whilst you are living and studying here. International Students See Welfare Advice Service below Student Funding at King’s Both the Student Funding Office at King's and the Welfare & Advice Service at King's offer advice on student funding issues. Funding your studies at university can be a little daunting, but with a little help from our experienced staff, you can easily see what options are available to you. We offer confidential advice to both prospective and current students covering issues such as tuition fees, living expenses, student loans and other financial help available at King’s to assist you, and we would encourage you to contact our staff if you have any queries, before or during your studies. Tuition fees at King’s (new students in 2006/07) Under provisions of the Higher Education Act, in 2006-07 all home/EU tuition fees will be set at £3,000 for all undergraduate programmes. Most students will not need to pay any fees yourself whilst you are studying unless you wish to. Instead, you will be able to defer payment by taking out a tuition fee loan from the Student Loans Company (SLC), to match the level of tuition fees you have to pay, in the same way as most home students will have a student loan for maintenance. The SLC will pay your tuition fees to the College on your behalf, and the value of the fee will be added to your overall student loan, and will be repaid in the same way. You will only start repaying this loan once you have finished studying and are earning more than £15,000 a year.
NB: all continuing students or those who deferred a place from 2005 entry remain under the old funding system and should apply for their Student Loan and fee support through their Local Education Authority. You will not be eligible for myBursary or myScholarship. College Fees If you become aware that you may not be able to meet your College fee payments please come and speak to us in the Student Funding Office or colleagues in the Welfare and Advice Service (see below). Please do not ignore the problem – we may be able to offer you support and information that could help you in your situation.
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myScholarship – rewarding excellence at King’s King’s believes that excellence on its programmes should be recognised and rewarded. The myScholarship scheme plans to offer scholarships of £1,800 to those students who excel on their programme of study. However, under the terms of its Access Agreement, the College reserves the right to revise this policy. At the end of the academic year, all home ‘new’ full-time first year undergraduate students will be automatically eligible for the myScholarship scheme. Across the College, 40 scholarships of £1,800 each will be awarded to students who have achieved the best end-of-year results in their particular School of study. EU students All new undergraduate European Union fee-assessed students will be liable to pay the full tuition fee of £3,000. However, EU students will be able to apply for a Student Loan for Fees through the Student Loans Company, similar to ‘home’ students. For up-to-date information please visit www.dfes.gov.uk/studentsupport/eustudents/ Further funding and information at King’s For any help and advice relating to student funding issues, please contact our staff at the Student Funding Office, who will be happy to help. The Office will also be able to advise on a range of financial help available through King’s, including the Access to Learning Fund, Principal’s Discretionary Fund, NHS Bursaries and a number of specified medical/dental bursaries. For more information, and to see what other funds are available, please visit our website at www.kcl.ac.uk/funding Contact details: Room G37 James Clerk Maxwell Building, 57 Waterloo Road, London SE1 8WA Tel: 020 7848 4364/2/3 E-mail: [email protected] Web: www.kcl.ac.uk/funding. Student’s Union King’s College London Students’ Union (KCLSU): Our purpose is to provide representation, encourage participation and offer personal development opportunities to our members throughout their student life. Each year a team of students are elected to provide the direction of KCLSU by engaging with their peers. This ensures our work is in keeping with your interests, desires and concerns. Academic Advice Advice and representation in the event that: you fail an exam and are asked to withdraw wish to appeal an assessment decision are accused of plagiarism or another exam offence have been accused of misconduct are being harassed or victimised have a grievance or wish to make a complaint against another student or member of
College Bars, etc.
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KCLSU operates a coffee shop, two bars, and two night clubs, as well as serving hot drinks in the Student Centres at Guy’s and Waterloo. With variously themed evenings, and the usuals such as karaoke, the community spirit of King’s comes through when everyone gets together to dance the night away. Campaigning The Students’ Union can offer you a platform to voice student issues across campuses and at all levels of the College. We offer support and training in order to empower our members to effectively bring their interests and concerns to the attention of their fellow students. Clubs & Societies KCLSU funds over 100 clubs & societies, which are fully led and overseen by students. If you would like to join one of these, or start your own, a list of those that already exist and further information can be found at kclsu.org, and membership can be paid at any of the three Student Centres at Guy's, Strand and Waterloo. Community Action A student led and coordinated volunteering programme, offering a range of opportunities, whether you want to work with children or senior citizens, early mornings or afternoons, during the week or at weekends, every day or just a few hours a week. We can also help if you want to set up your own project, at home or abroad. Employment We can offer you part-time employment in a number of roles – administration, brand management, shops and venues. A great way to involve yourself further in life at King’s, and make a little cash too. Student Centres For information on all aspects of the work of KCLSU, drop in to one of the Student Centres for a chat. You’ll also be able to make use of our shops, selling light snacks, stationery, KCL branded merchandise – almost anything you might need between lectures. The Centres are in the Macadam Building, Strand Campus, Boland House, Guy’s Campus, Stamford Street Apartments Building (Cornwall Road entrance), Waterloo Campus. Contact details: Telephone: 020 7848 1588 Fax: 020 7379 9833 Email: [email protected] Web: kclsu.org Welfare and Advice Service The College Welfare Service offers free, confidential advice, guidance and representation on a range of practical issues, for both current and prospective students and staff. The wide range of issues dealt with include: student finance, money management and debt advice, social security and disability benefits, housing rights, consumer law and immigration issues. Appointments
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You can phone the Welfare Advisers on the numbers given below to book an appointment, or visit the respective office to pencil your name in on the Adviser’s timetable. Most booked appointments are for up to 30 minutes and take place in a confidential one to one setting. Where it is necessary follow-up appointments will be made. Drop-in sessions For brief enquiries, clients may wish to simply ‘drop-in’ to one of the Welfare Offices to attend the drop-in sessions. Sessions are usually held every day (except Thursdays) at each office and are held over the lunchtime period. Sessions last about ten minutes and are not pre-booked. You will therefore usually have to wait a short time until an Adviser is available to see you. Emails Emails can be sent to [email protected] for initial enquiries or to request information. However, it must be noted that emails are not ‘strictly’ confidential as other authorised members of the College can obtain access. For confidential or more complex matters it is therefore advisable to book an appointment to see an Adviser. Contact details: Guy’s Campus Paul Cornell, Senior Welfare Adviser 020 7848 6858 Cecilia Dunne, Welfare Adviser 020 7848 6860 Room G05 Ground Floor Henriette Raphael Building Guy’s Campus Strand Campus Laura Bracking, Welfare Adviser 020 7848 2530 Counselling, Welfare & Health Centres, Third Floor Macadam Building Strand Campus Waterloo Campus Liz Holdsworth, Welfare Adviser 020 7848 4028 Jennifer King, International Welfare Adviser 0207 848 4026 Room 1.19 First Floor Franklin Wilkins Building Waterloo Campus
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Information Services and Systems Information Services & Systems (ISS) provides an integrated archive, library and IT service to all King’s College London staff and students. A team of dedicated subject information specialists is available to support your learning and information needs. The information specialist for Physical Sciences & Engineering is David Beales (Maughan Library), [email protected], ext 1262. Contact him if you have any problems. Also, there is on online comments form on the ISS web site, and comments and suggestions boxes are available in all information services centres (ISCs) and libraries. The ISS website www.kcl.ac.uk/iss The website provides extensive information about ISS services. Please add it to your list of internet bookmarks or favourites and check it regularly for news and information. The site links to all of the resources listed in this chapter, most of which can be accessed from home as well as from College. Access to ISS services for disabled students The ISS disability adviser will be able to discuss your requirements in confidence and advise you about using libraries and IT facilities during your time at King’s. We also provide a range of software packages to assist students with special needs. More information is available in a separate user guide and on the ISS web pages. PAWS (Public Access Workstations) PAWS are provided at all sites, and King’s has a network of over 1,400 PAWS with printing and data storage facilities. You will require a personal username and password in order to use them. You should receive this information at enrolment. Some computer rooms are open 24 hours a day, seven days a week. College residences including Great Dover Street, King’s College Hall and Hampstead have PC workstations for residents' use. The PAWS provide access to a wide range of software, including Microsoft Office, statistical packages, web browsers and subject-specific learning resources recommended by teaching staff. The PAWS handbook, issued at enrolment, contains lots of useful information including an introduction to the most popular software applications. It can be picked up from any campus location, printed from the ISS web pages or viewed online. Data storage Every student has an allocation of 100 MB of secure centralised disk space called the filestore. It is accessible from any PAWS workstation and remotely from anywhere you have Internet access, via a link on the PAWS web pages. Media stations are available in ISCs to enable you to transfer your work from your filestore to a range of media including CD and Zip drive. You can also transfer files from a PAWS workstation to USB memory sticks. Printing
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All ISCs and libraries offer both black and white and colour printing facilities. There are also acetate printers for overhead transparencies and an A0 poster printing service. Payment for printing is by a print credit system associated with your PAWS username and password and all new students receive £5.00 credit at the start of their course. Email Use the college Webmail service to access your email. It is accessible from college and also remotely via the email web pages. You will receive your email username and password at enrolment. It is important to check your King’s email account regularly as it will be used as the principal method of communicating with you. See the PAWS handbook and ISS web pages for information about web-based email access from home. Wireless network access The wireless networking service at King's is accessible across most sites, and at some halls of residence. It is compatible with Windows PCs, Apple Macs and handhelds (PDAs). Use your email username and password to access the wireless network and connect to the Internet. Information Services Centres (ISCs) ISCs and libraries are distributed over the five campuses. They all provide extensive library and IT facilities, PAWS rooms and group study rooms, which can be used by students from all Schools. The Maughan Library & ISC at the Strand campus is home to Humanities, Law, Medical
Ethics, Computer Science, Engineering, Mathematics and Physics. New Hunts House Information Services Centre Guy's Campus The Franklin-Wilkins Information Services Centre at the Waterloo Campus King's Denmark Hill Campus: the ISC at the Weston Education Centre. St. Thomas' Campus: Medical Library
ISC and library opening hours vary between campuses and between term time and vacation periods. They are displayed in the ISCs and libraries and on the ISS web pages. You will need your college card (which is also your library card) to enter any library or ISC and you won't be able to borrow without it. It is for your use alone; please do not lend it to anyone. Library catalogue The library catalogue provides information on the availability of resources at all the campuses of King's College London. You can use it to find the location of textbooks and journals, theses, dissertations, research reports, statistical data, reference works, official publications and multimedia resources like DVDs and learning resources. It is a web-based catalogue accessible from any computer with internet access that runs
a browser like Netscape or Internet Explorer. You can use the catalogue: to check your user record; to see what items you have on
loan (and when they are due for return); to renew the items you have on loan and to reserve books that are currently on loan to another user. You will receive an email notifying you when a reserved item is ready for collection.
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Borrowing and renewing items There are different loan periods for borrowing; these are four weeks, one week, short and day loan. Many textbooks are for one week loan. Undergraduates are able to borrow up to fifteen items at a time, graduates up to twenty items at a time; ten can be one week loan, five short loan and five day loan. In the short loan collections you will find heavily used textbooks, some past exam papers (although most are now on the web pages), and photocopies of key journal articles, known as offprints. Short loans are issued for either a morning, afternoon, overnight or weekend loan period. One day loans are issued until 11:00 on the next working day. Short and one day loans may only be renewed by bringing the books to the Service Desk from which they were borrowed. Other items can be renewed via the library catalogue or by automated phone service (020 7848 1555). You can only renew books if they are not reserved by another user, or if you owe less than £10.00 in fines. At enrolment you will be issued with a PIN (Personal Identity Number). This is to enable you to reserve and renew books and check your library record online. We charge fines for overdue books and other items to ensure good circulation of materials and improved availability. Information resources ISS provides access to extensive print and electronic collections including textbooks, journals, theses and reference tools, library catalogues, bibliographic and full text databases and internet search tools and resources. Databases and electronic journals are available from the Quicklinks on the ISS web pages, and other resources, including subject specific information, is available from the Information resources link on the ISS home page. Databases A range of databases, including the Science Citation Index (Web of Science), INSPEC, MathSciNet and IEEE Xplore can be used to locate current engineering, mathematics and scientific research published in the international scholarly literature. See the relevant ISS Key databases user guides. Journals After searching databases you will need to locate the full text of journal articles. ISS subscribes to a wide range of journals in print and/or electronic form. Use the Library catalogue and Ejournals Quicklinks to check what is available. SFX linking software will enable you to link directly from database search results to full text articles, where they are available. The full text of articles or other internet documents may be viewed online, printed out or saved to disk. Print journals are arranged on the shelves in alphabetical order by the full journal title and are for reference only, and cannot be borrowed. Passwords Passwords are needed to access some databases and ejournals. Many electronic journals and databases are accessible from home as well as college using your Athens username and password, which you should receive at enrolment. If you encounter any problems
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please ask for advice at any ISS help desk where staff will be happy to provide the relevant information. Not all electronic resources are accessible using Athens; some are available from PAWS without a password, and others require a special password, available online. Photocopying There are self-service photocopiers in all of the ISCs and libraries. To use them you need to buy a rechargeable photocopy card from a coin operated machine. Colour photocopying is available at most sites. Photocopying must be within the limits set out in the terms of the licence granted to KCL by the Copyright Licensing Agency. Details of this licence are displayed near photocopiers along with instructions for using the machines. External resources If a resource you require is not held at King’s, we can advise on alternative libraries and collections. The ISS web pages have links to the catalogues of key national and international libraries, including the British Library, and the libraries of colleges of the University of London. Alternatively you can use our document delivery service to request material not held at Kings’ using the inter-library loans option on the library catalogue. Graduate students can also request materials be sent from another site to their home site. There is a charge for these services. Good conduct guidelines Please follow the ISS good conduct guidelines to prevent damage to material and help to provide an atmosphere conducive to studying. Respect other students by keeping noise to a minimum: if your phone is on, please
ensure it will not ring and please do not use it to speak to others. Please don’t bring food or drink (other than water in sealable bottles), into the ISCs or
libraries Take care of your personal possessions. College cannot accept responsibility for your
property. When a fire alarm sounds, please evacuate the building immediately by following the
fire exit signs. The full regulations are available in all ISCs and libraries and on the ISS web pages. Help desks General advice and support about all ISS services is available at help desks in all ISCs and libraries. Staff will be happy to direct you to the most relevant expert to support your needs. Help desk details: Maughan Library and ISC - 020 7848 2430 Email: [email protected] User guides A range of user guides explaining services and resources in more detail are on display in all ISCs and libraries. They can also be viewed online or printed from the ISS web pages. Training opportunities
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Developing an awareness of relevant information tools, software and services, and learning how to access and exploit these resources effectively, is essential for effective study. Many Schools and departments will organise ISS inductions for new students in the first few weeks and further more advanced training later on. Check your timetable or ask your lecturers to see if this is the case for your course and make the most of this opportunity to improve your information skills. There are a number of training opportunities highlighted on the ISS web pages, including access to self-paced web-tutorials and learning guides. If you encounter any problems with ISS services during your time at King’s please don’t hesitate to ask for advice and assistance. 4. ORGANISATIONS FOR STUDENTS MathSoc All Maths students are automatically members of MathSoc, which is a student run society whose main aims are to organise social and academic activities throughout the year. The main events are the summer boat party, Cumberland Lodge and for the first time, a Christmas Party. Other subsidised events such as ice-skating and trips to Pizza Hut take place throughout the year. Cumberland Lodge is a fantastic weekend away, which occurs midway through the Easter semester; talks on the more appealing side of maths are organised, and there is plenty of leisure time to enjoy Windsor Great Park. Another purpose of MathSoc is to welcome the first years, and a ‘parenting’ system is arranged for the beginning of the year. A link-up party is organised for the last day of registration. Here you will be able to chat informally with your fellow students, as well as enjoy the free food and drink. You will also be given the opportunity to meet your designated ‘parents’ – current students - who will be available to answer any questions and offer advice on life in the Department. The MathSoc website is accessible via the Departmental home page. Members of the MathSoc committee are usually available in Room 437, although they can be contacted via e-mail: the President, Mei-Yee Ng, at [email protected] and the Treasurer, Gurdeep Sehmbi at [email protected] for the forthcoming year. KCLSU All students are automatically members of the King’s College Students’ Union (tel: 020 7836 1731, website: http://www.kclsu.org) and therefore have access to its facilities. KCLSU runs bars, puts on cheap entertainment and subsidises clubs and societies. As a King’s student, you are also a member of ULU, the University of London Union which is situated in Malet Street, WC1E 7HY (tel: 020 7664 2000, website: http://www.ulu.lon.ac.uk/). This means that you have access to additional sport and social facilities in their Bloomsbury premises and the chance to mix with students from other London Colleges.
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5. GENERAL SCHOOL PROCEDURES Disclaimer: The following table is meant only as a guide and the dates are provisional so please ensure that you double check deadlines either with the School or Departmental Office. Ultimate responsibility for students’ administrative affairs rests entirely with individual students. (The dates below have been approximated from the deadlines in the 05/06 academic year and some are yet to be confirmed for 06/07) Timetable of Deadlines
Event / Action Deadline / Date New student enrolment Week prior to start of term Continuing student online enrolment On receipt of examination results Choice of modules From March 2006 for continuing students
From the start of term for new students Last date to amend 1st semester modules 13 October 2006 Applications for Special Exam Arrangements (physical and learning disabilities)
10 November 2006
January 2007 exam timetable published on web
01 December 2006
Applications for Special Exam Arrangements (overseas exams only)
11 December 2006
Confirmation of Intercollegiate modules 12 January 2007 Change of 2nd semester modules 24 January 2007 Summer 2007 exam timetable published on web
21 March 2007
Arrangements for Special Exam Arrangements (overseas exams only)
30 March 2007
August 2007 exam timetable published on web
02 August 2007
Exam results posted Usually end of July August Exam results posted Usually start of September The Course Unit System: How it Operates Degree programmes are divided into modules, each with a total value of 0.5 or, in some cases, 1.0 or 0.25 course units. Students may follow a total of not more than four course units of new work in any one academic year. Where subjects have a coursework component, the overall mark usually consists of a percentage for the paper and a percentage for the coursework. This is only a general rule, and students should refer to the course information sheet for each course for full information on the specific marking scheme adopted. To be eligible for the award of a three-year Bachelors degree, you must obtain passes totalling at least 9.0 course units whilst for a four-year MSci you must obtain passes totalling at least 14.0 course units. To ensure that students have a reasonable chance of obtaining the required number of units by the end of the course, minimum requirements are set for entry into the second and third year programmes.
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Course Unit Registration Course unit registration will be conducted online via myKCL for 2006/07. Once logged in to myKCL you should click on ‘Select Modules for 2006/07’ and follow the instructions from there. Please note the following:
You will need to confirm your final selections by Friday 13 October 2006. This is the deadline for all departments in PSE. Please note that you must select all your modules for 2006/07 by this deadline, however, you will be able to amend your 2nd semester modules until the deadline of Friday 26 January 2007. When you have submitted your final selections your Programme Advisor can approve or reject your selections. Please ensure that you check your email regularly in case your Programme Advisor writes to tell you to amend your selections. When your selections have been agreed you will be sent a final e-mail confirming your entries; you will be able to see these on myKCL Occurrences You will notice that modules may appear more than once in the list of options. Please ensure that you select the correct occurrence: T is for postgraduate taught students M is for undergraduate students A is for undergraduate students who started their programme before 1998. Modules which do not appear on the option list If there is a module you want to take that does not appear on your list of options please check with your Programme Advisor that you are permitted to take the module, for example, a modern language. Then contact the School Office for advice about how to proceed. You must obtain approval for any modules not listed as options on myKCL before attending lectures for that subject. If you progress into your next year of study following the 2005/06 session but have some modules which you are eligible to resit from the previous year(s) you may submit a ‘Course unit amendment form’ to add these resit modules to your examination entries. The deadline will be the same as for your final selections, Friday 13 October 2006. If you have any problems regarding course selection or the retaking of failed subjects, you should see the Senior Tutor or your Personal Tutor during the first week of the session.
Your course unit registration is one of the most important things you will do during the year. Failure to follow registration procedures correctly may well result in you being unable to sit your examinations. You are responsible for ensuring that you are registered for all the units for which you wish to be examined. You must check your course unit registration using myKCL. You must contact the School Office at once if you have any questions regarding the units for which you are registered. Some departments maintain their own database, in addition to the official College student administrative database. In these instances it is especially important that you ensure that the official record (maintained by the School Office) is correct. When examination timetables are published, it is your responsibility to consult the published timetable and to make note of the date, time and location of your examinations. It is also your responsibility to ensure that you are correctly registered for your examinations before the registration deadline prescribed by your School Office or department. It was resolved by the College Board, that, from 2000/01, undergraduate
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students who failed to register for their course unit selections by the prescribed deadline would be required to seek the permission of the Head of School or the Chair of the School Board of Examiners to register late, and that this permission would only be granted where there were compelling reasons for doing so.
You must print your ‘examination passport’ available on myKCL and take it to each examination. You will not be permitted to enter any examination for which you are not registered. Further information is available online at: https://evision.adminsystems.adm.kcl.ac.uk/live/ . If you fail to register for your examinations by the prescribed deadline then it is your responsibility to: 1. Complete a late registration form (available from the School Office) and attach a
supporting statement and appropriate documentary evidence. 2. Pass the authorised form and supporting statement to your School Office. If your late registration is approved by the School Board of Examiners, the Examinations Office will make the necessary arrangements for you to sit your examinations at the venue advertised on the published timetable. Please note that the Examinations Office will not write to confirm that these arrangements have been made. If late module changes have been approved you may find that it is too late for this to appear on your examination passport. You will have to report to the Unregistered Desk before the start of the examination. The School Office will inform you if you are in this position, if there is sufficient time. Please note that students who register for resit examinations will have to pay for each examination they take. The resit fees are differentiated between ‘in-College’ and ‘out-of-College’, Home/EU and Overseas; the fees for 06/07 will be printed on the Re-Entry forms. Please note there are different forms to be completed for ‘in-College’ and ‘out-of-College’ resits. An ‘in-College’ resit means that you attend the classes for the module and are registered as a part or full time student (depending on the number of resits). An ‘out-of-College’ resit means that you are registered for the examination only. Change of address Your permanent (home) and contact (term time) addresses are kept on the student administrative database. This information can be accessed by your Department but it can only be updated by the School Office or by you, using myKCL. Important information such as re-enrolment literature is sent out to you at the addresses we have for you on our records. Generally, we send information to your permanent address during the summer vacation, and to your local address at all other times. It is, therefore, vital that you keep the College informed of all changes of address. Change of address forms are kept at the School Office counter, there is also one at the back of this booklet, and will be actioned immediately or you may change your address using myKCL. How to change course/programme, interrupt your studies or withdraw from College “Change of Course/ Programme” means changing your degree programme either within or between departments. “Interruption of Studies” means officially suspending your studies for an agreed period, and then returning to resume your studies on an agreed date (see Regulation A1 9.4.2 for maximum duration of interruption). This does not refer to being required to take a year out due to resit examinations, or to a year abroad or in industry as part of a sandwich course.
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“Withdrawal from College” means withdrawing from your course and from the College on a permanent basis. If you are transferring to another institution, this is also withdrawing from College. If you wish to take any of these steps, you should first discuss your intentions with your tutor, and then collect and complete the appropriate form from the School Office or from the School website: www.kcl.ac.uk/depsta/pse/schoff/students/useful.html. Any amendments to your status must be approved by the Head of Department/Senior Tutor. If you are in receipt of a Local Education Authority (LEA) Award, the School Office will inform your local authority once the form has been processed, although you should also keep them informed of your movements as it may affect your entitlement. Student letters The School Office will provide you with proof of your student status, on request. Please allow at least three working days for your letter to be prepared, although you should be aware that it may take longer at busy periods, e.g. during enrolment. Your letter will state your full name, student number, full-time or part-time, title of programme, programme code, year of study, length of programme and expected completion date. The letters cannot provide projected grades or confirmation of your regular attendance. Please note that if you are a debtor you will not be able to use these services. These letters will be suitable for visa purposes, banks, landlords etc. They will not be accepted by Councils for Council Tax exemption; you should obtain a Council Tax Exemption Certificate from the Student Funding Office (G37 James Clerk Maxwell Building, Waterloo), or, alternatively, you can request the Exemption Certificate online at: www.kcl.ac.uk/about/structure/admin/acareg/funding/financialhelp/counciltax.html. Transcripts of your studies can be obtained from the Student Registration Office (7.25 James Clerk Maxwell Building, Waterloo) and can be requested online at: www.kcl.ac.uk/about/structure/admin/acareg/stureg/transcripts/. Student ID Cards The School Office can issue you with a replacement if your card is lost or stolen. Please note that there will be a charge of £10 unless you have a crime reference number on official documentation from a police station. You do not need to bring a new photo. Other ID and documentation The School Office will authorise and stamp Local Authority Award Renewal forms and Student Rail Card Application forms. The Student Union Resource Centre will sign and stamp London Transport Discount Cards. The Student Union Resource Centre is based on Floor 1, Macadam Building, Strand Campus, Mon - Fri 9.30am – 5.30pm. Examination passports (for use in examinations) are available from myKCL. Please take the printout of your examination passport to all your examinations. Please note that you will not be permitted entry to any examinations for which you are not registered. Candidate numbers (for use in examinations) are available from myKCL. The Examinations Office will email you when these are available. Please take the printout of your candidate number and your student ID to all of your examinations.
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School policies The School Office has standard operating policies, which apply to all students. The policies are in place so that the School Office can provide a fair and professional service to all students. This means that we treat all students equally. You should be aware of the following:
Deadlines must be met The School Office and the College set deadline dates very carefully and always try to give students the maximum amount of time to make decisions, change modules etc. Students must make every effort to meet deadlines. The School Office will not be able to accept late forms/amendments to forms, and students will have to make use of relevant form(s) if they have missed a deadline and wish to ask for exemption. There is no guarantee that the request will be granted. Payment of money to the School Office The School Office processes payments for certain administrative functions (e.g. resitting examinations on an in- or out-of-College basis). Payment may be made by cash or cheque. If a cheque is returned by a bank, then a charge of £25 will be made. The School Office will not accept another cheque from a bank account in that individual’s name and payment must be made in cash. Communication We will send material to your home/permanent address in the summer vacation and to your local address during term-time. We will send material by standard post, and occasionally by registered post or recorded delivery. We are not able to send you items by courier. Where we communicate with you by e-mail, we will use your [email protected] account and you should ensure that you check it regularly. Some items may be sent directly to the Departmental Offices for collection or distribution; you should always check there first. Debtors The School Office is unable to release any information to students who have outstanding debts to the College. This includes examination results. Transcripts As mentioned above, transcripts of your studies can be obtained from the Student Registration Office (7.25 James Clerk Maxwell Building, Waterloo) and can be requested online at: www.kcl.ac.uk/about/structure/admin/acareg/stureg/transcripts/. Grievance Procedure The procedure below must be read in conjunction with Section 6 of the Regulations Concerning Students. These regulations are available from: www.kcl.ac.uk/about/governance/regulations. Please note that some issues, e.g. allegations of sexual or racial harassment, appeals against a decision of a Board of Examiners, have separate procedures, which should be followed. Please seek advice from the Department. If you have a complaint you should first try to resolve the matter in your own
Department by contacting your tutor informally. If you have a general (rather than personal) complaint you may wish to approach your Staff/Student Committee representative rather than approach your Department personally.
If the matter is not resolved to your satisfaction, you may approach your Senior Tutor or Head of Department informally.
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The Senior Tutor or Head of Department will conduct an investigation of the complaint and try to resolve it. If the nature of the complaint falls outside their area of authority, they will refer the matter directly to the Head of School.
If you still feel that the grievance is unresolved you may submit a request for redress in writing to the Head of School. The Head of School will then make an initial response within 14 working days. The correspondence between the Head of School and you will form part of the evidence that you have exhausted all local mechanisms in respect of section 6.2.1 of the College’s ‘Grievance Procedure for students’.
If you are still dissatisfied with the outcome, or the Head of School is unable to resolve the problem, you may invoke the procedures for Student Complaints and Grievances as specified in Section B5 of the Regulations Concerning Students.
6. GENERAL DEPARTMENTAL INFORMATION Local Safety Procedures All students should be aware of basic safety procedures – you will find a basic checklist at the back of this booklet. The Departmental Administrator acts as the Safety Officer. The Department has a Safety Notice Board for the display of relevant notices. A list is displayed of First Aiders who have been trained to give immediate medical help in the event of an accident. Whilst the Health Centre (please see details under Advisory & Welfare Services) can help in these circumstances, it is best to follow the advice of the First Aider and call an ambulance should he/she consider this appropriate. First Aid boxes are located in the Departmental Office as well as in the Undergraduate Common Room, 437. When it is necessary to evacuate a building in an emergency, bells will sound and you should leave the building immediately by the nearest marked emergency exit. On emerging from the building it is vital that you move right away from the building to provide access for emergency vehicles and to allow others to leave quickly too. Provide an example to others and follow the instructions of fire marshals. If you are ever concerned about any aspect of safety or have suggestions to make, please direct these to the Departmental Safety Officer on extension 2216. Further information can be found on the School website: www.kcl.ac.uk/depsta/pse/schoff/safety/safety.html. Staff/Student Committee The Staff-Student Committee is the principal formal mechanism for feedback from students to staff about all aspects of College life, particularly those directly related to the Department. It also provides a forum for discussion on matters of common concern. It has two calendared meetings every semester, but students can ask for a special meeting at any time. The student membership of the Committee consists of all officers of the undergraduate Mathematics Society, together with a further seven elected representatives, consisting of one single subject student and one joint honours student from each of the three years, plus one postgraduate student. The current staff members include the Senior Tutor and
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the Head of Department. A full membership list, plus the dates of meetings, will be displayed on the notice board and in Room 437.
Prizes for Students 2006 The prizes listed below are offered to undergraduate students, and the recipients in 2006 re as indicated. The Award Ceremony this year will take place on Monday 9 October 2006. The University of London offers two Mathematics prizes to the most meritorious undergraduate students – the Sherbrooke Prize and the Lubbock Prize – no award.
King’s College London Prizes: Jelf Medal for the most distinguished student (academically, socially and athletically) –
no award Layton Science Research Award – 0133977/1 Mr M Aziz (Mathematics 3) Sambrooke Joint Honours – no award The Florence Hughes Prize awarded to female student achieving highest standard in
second year – 0415280/1 Miss P Jain (Mathematics 2) Alan Flower Memorial Prize – 0314945/1 Miss H Pavicic (Mathematics and Philosophy
3) Prize for the best Mathematics/Management student (1st year) – 0524386/1 Mr A
Shagabutdinov Prize for the best Mathematics/Management student (2nd year) – 0333543/ Miss KA
Isaaks Prize for the best Mathematics/Management student (3rd year) – 0333821/1 Miss M
Zhou Prize for best performance in Mathematics by Mathematics/Management 3rd year
student – 0306927/1 Mr RA Mirza Prize for best performance in Management by Mathematics/Management 3rd year
student (awarded by Management) 2 CIMA Prizes for best second year performance in financial management (awarded by
Management) Mathematics Departmental Prizes: Drew Prize and Medal – 0309619/1 Mr N Islam (Mathematics 3) Second Drew Prize – 0314952/1 Mr T Furmston (Mathematics 3) The George Bell Prize for the most meritorious performance in mathematics by a third
year MSci student – 0318684/1 Mr S Brown 2 IMA Prizes (free graduate membership for one year) – 0305630/1 Mr CM Pratt
(Mathematics 3) and 0334069/1 Mr NR Eleini (Mathematics 3) The J G Semple Prize for the best project by a final-year student – 0535033/1 Mr G
Gerasimou (Graduate Diploma in Mathematics)
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The John Tyrrell Prize for the most meritorious performance in mathematics by a first year student – 0525536/1 Mr SA Williams (Mathematics MSci)
The John Tyrrell Prize for the most meritorious performance in mathematics by a second year student – 0415280/1 Miss P Jain (Mathematics 2)
Prize for Joint Honours Mathematics – 0543031/1 Mr P Pavlopoulos (Mathematics and Computer Science 1)
The Marianne Merts Prize for outstanding contribution to the life of the Department – 0405646/1 Miss Mei-Yee Ng (Mathematics 2); 0301793/1 Mr Kai Fat To (Mathematics and Computer Science 2); 0309008/1 Miss MN Bezoari (Mathematics and Physics 3)
Mathematics with Education Prize for most worth non-graduating student – 0511135/1 Miss CA Bradford (1st year)
Prize for Mathematics and Philosophy non-graduating student most worthy of award – no award
Sambrooke Exhibition in Mathematics for the most meritorious performance in mathematics by a 1st or 2nd year student – 0419828/1 Mr U Butt (Maths MSci 2)
Spackman Prize for the winner of the annual competition – First : 0505849/1 Mr SL Fernandez (Mathematics MSci 1); Second: 0506594/1 Miss Ewa Infeld (Mathematics 1)
Graduate Diploma in Mathematics for best performance by a Graduate Diploma Student – no award
Teaching Excellence Award This is an opportunity for you to nominate your lecturers for a Teaching Excellence Award, worth £1000. The Higher Education Funding Council for England (HEFCE) has made funds available to enhance the quality of teaching. At King's, as part of the College's Learning and Teaching Strategy, a portion of this funding will be used in the form of Awards for Excellence in Teaching, one award of £1,000 being made annually to one member of academic staff for each of the College's nine schools. The next deadline for nominations for the Award for Excellence in Teaching will probably be during March 2007. You can find out about the procedures and print out the form for nomination and selection from the website: (www.kcl.ac.uk/about/structure/admin/acareg/qaaa/teaching.html). 7. STUDYING IN THE DEPARTMENT OF MATHEMATICS
The Semester System Mathematics course units are almost all given either wholly in the first semester or wholly in the second semester. Note, however, that second semester courses continue for the first week of term following the Easter break with the exception of 4CCM111a (CM111A) which is examined in January. All course unit exams for Mathematics course units for single and joint honours Mathematics students are held in the Summer Exam Session in May. Joint Honours students may find that for their other subject some course unit examinations for first semester courses are held in January.
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The term after Easter (that is, the period from April to June) consists largely of examinations. However, as noted above, the first week is used to complete second semester lecture courses, and the second week is normally devoted to revision, although occasionally new material may be presented during this week – full details will be found on the course information sheet issued during the first lecture of each unit.
Code of Conduct
Code of Conduct & Behaviour in Lectures
The way you are taught at university may be very different to what you have experienced before. You may be taught in a very large or very small group. You may be expected to think quickly and follow complicated material at a pace you may find too fast - or too slow. Overall, you will be given greater academic and personal freedom than you have experienced before, and this can be bewildering at first. You will have to learn how to organise your own time so that you get the most from your education. However, there are still certain rules that have to be obeyed. You are required to attend lectures and you will expect these to be well-prepared, logical, audible and correctly paced. You can contribute to the success of lectures by following the guidelines shown below:- Arrive in good time - late arrivals disrupt the rest of the class.
Turn off your mobile phone before the lecture starts. Never make or answer calls during a lecture. Do not receive or send text messages.
Sign any attendance register.
Concentrate on the material that is being presented.
Do not talk when the lecturer is talking; only conversations and discussions expressly permitted by the lecturer are allowed.
If you have a question for the lecturer, please attract his/her attention by raising your hand.
Do not eat or drink.
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It is in the interest of the whole class and the lecturer that these guidelines are followed. Please encourage others to follow them. PLEASE THINK OF OTHERS AS WELL AS YOURSELF; HELP MAKE THE LECTURE A SUCCESS FOR EVERYBODY.
Lectures and Tutorials Attendance at lectures and tutorials is compulsory. Listening to an exposition of a subject developed in lectures is an important part of the process of learning mathematics. Copying another student's notes is not a valid substitute. Tutorials are your opportunity to clear up difficulties and consolidate your understanding, as well as to review the assignment work. You cannot expect sympathy if you miss the tutorials and subsequently need individual help for your difficulties. It is recognised that occasional absences may be inevitable. However, in cases of prolonged systematic absences, the students concerned may be excluded from the examination on the grounds that they have not completed the course of study. If you are absent because of illness or some other good cause, you should comply with the procedures concerning such matters (see 'Matters regarding attendance and absence'). Extraneous noise and casual chatter can sometimes be a problem in lectures, particularly if the class is large. It makes difficulties for the vast majority of students and is distracting to the lecturer, resulting in a loss of quality in the lecture. (Conversely, interest and attentiveness of a class can inspire the lecturer to an enhanced performance.) Students are asked to ensure that lectures are not disrupted by extraneous noise. Mobile phones must be switched off during lectures. Walk-in Tutorials These tutorials are for First Year students. The intention is to give students who are at the beginning of their course the opportunity to have their difficulties sorted out in an informal way. They can ask for any topic to be gone over at their own pace and guidance will be given on how to approach the problems on the weekly exercise sheets (although the actual work set will not be done for you!) You are encouraged to make use of these sessions to sort out anything you are having trouble with.
These tutorials are run by Mrs J Bennett-Rees and will take place on Wednesdays from 14.00–17.00 in room 230 in semester one and in room 521 during semester two. You should aim to come early in the session but only stay for as long as you wish. Pop-In Tutorials In addition to the Walk-In tutorials, the Department offers Pop- in tutorials for First Year Students. There will be two such tutorials per week, probably starting in the second week of term. The tutorials take place from 13.00–14.00 in Room 436, probably on Mondays and Wednesdays (to be confirmed) and are conducted by a Final Year Mathematics student at King’s. These tutorials are informal, and you are free to come and go as you please.
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You may ask questions about any aspects of your First Year courses which are troubling you, or which you are finding difficult, but please note that these Pop-in Tutorials are NOT intended as a forum for solving the problems on next week’s exercise sheet! In the past many students have found these tutorials very helpful and you are encouraged to avail yourself of this opportunity.
The starting dates of both Walk-In and Pop-In Tutorials will be displayed on the Departmental Notice Board, and announcements will also be made by lecturers to First Year classes. Coursework Mathematics is a subject that can only be mastered by relating the theory to applications and examples. The Department of Mathematics attaches great importance to students in all years attending the tutorial classes and handing in weekly assignments as well as going to lectures. For all compulsory and core courses, attendance and assessment marks will be recorded for each tutorial, and for these courses students will be required to attend a minimum of 70% of the tutorials. For all first year students additional coursework requirements are imposed, which are intended to help in making the transition from school to university. Mathematics courses normally taken by first year students have either an element of continuous assessment counting towards the final result on the course, or a coursework requirement based on weekly assignments done in the students' own time. The information sheet for a course will indicate which of these methods is being used. Any coursework requirement for a particular course will be specified on the Course Information Sheet for that particular course. In cases where the requirement is based on weekly assignments, students are responsible for keeping marked assignments in case of possible appeals concerning their standard, and are asked to make any enquiries about the marking at an early stage. Coursework requirements may be waived for medical or other similar good reason. You should keep your Personal Tutor informed about any problems. The above requirements also apply to joint honours students taking Mathematics courses. Regulations require that a student must complete a proper course of study before being admitted to the summer examinations. The Department of Mathematics rules that, in addition to attendance at lectures and tutorials, meeting a coursework requirement, as appropriate for a course, forms part of the proper course of study. Students who do not meet the coursework requirement will not normally be allowed to sit the Sessional Examination for the course concerned. All course work tests, which count in the final assessment, are College examinations. The way that they will count in the final assessment will be announced at the beginning of the course and will have been agreed with the Chairman of the Board of Examiners. There will be no replacement or resit course tests. Failure to attend a test, except under special circumstances, will normally be penalised. If there are extenuating circumstances, medical certificates or other written evidence must be received by the Departmental Office within 48 hours of the test. The condition for a bare pass is a pass on aggregate. Special rules apply to 4CCM111a (CM111A) Calculus I. This course has a final written examination in January rather than May, contributing 50% towards the final mark. The other 50% are contributed by three class tests held in semester one.
Deleted: For courses with continuous assessment, to obtain a pass with overall mark greater than or equal to 40, you must pass both the written examination and the assessed coursework, and the overall mark is then the aggregate of the marks in the two components.
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Does Coursework Count? All students should read this section carefully ⎯ especially First Year students. In 2004/05 the mode of assessment of First Year Mathematics students (Single and Joint Honours) changed significantly and it is important that all First Year students be aware of the fundamental importance of sitting and performing well in all the Class Tests which will contribute to the final mark for the course; these are discussed in more detail below.
Please note that Second Year students do not receive a coursework mark in CM1xxx courses; they are graded solely on the basis of the written examination. Class Tests relate to First Year students only. Lecturers teaching First or Second Year courses set homework exercises week by week. At Third and Fourth Year level exercises will also be set as a course progresses, but not necessarily on a weekly basis. Making a serious attempt to do the set questions is a crucial ingredient in developing your understanding of Mathematics; Mathematics is a subject where one learns by ‘doing’. Although studying lecture notes is an important and valuable activity you will never really discover whether or not you understand a topic until you try to solve the weekly exercise problems. A sensible approach involves studying the lecture, thinking about the definitions and theorems, trying to understand the proofs, and so on. Then attempt some questions from the weekly exercise; at that point you may have to return to your lecture notes, you may have to read the relevant part of a textbook, and perhaps think more deeply about a definition or a theorem which you had previously thought you understood. For First and Second Year students your attempts at the exercises will be graded week by week, and the results recorded; in a few courses these marks may contribute to your final mark. For precise information you should study the Course Information sheet, distributed by lecturers at the start of a course; the Course Information sheet is also available on the course web-site. The primary factor in determining your mark for most courses will be the mark you obtain in the written examination in May/June (but that in turn may be heavily influenced by your attitude to exercise work throughout the year!).
However, many courses do have a ‘coursework element’ and a ‘coursework mark’ which does contribute to your final mark for the course. This is assigned on the basis of your performance in class tests, or by some other method of assessment. In every case the mode of assessment is described in the Course Information sheet; in particular, this will make clear whether or not there are class tests, and the extent to which these contribute towards the final mark for the course.
You should note that coursework marks only have relevance the ‘first time round’; if you fail to pass a course at the first attempt and have to resit an examination, your mark in the resit examination will be determined solely on the basis of the written paper and any coursework mark will not be taken into account. Class Tests in Year 1 In 2006/07 there will be a coursework mark for each First Year course, contributing 20% towards the final mark for the course, the remaining 80% being secured on the basis of the written examination which will be held in May/June (with the exception of Calculus I – see previous page). In the First Semester there will be four Class Tests in each course, conducted under examination conditions; three of these tests will be held during the period in which the course is actually taught, and a fourth test will be held in January 2007 during Examination Week.
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In the Second Semester there will be three Class Tests, all being held during the period in which the course is taught. It is crucial that you sit all these tests; there will be no ‘re-sit’ tests. The dates of the tests will be contained in a handout which you can pick up on Registration Day and which will also be listed on the Departmental Notice-board. Bearing in mind that students must now pass ALL Mathematics courses as a condition for entry to the Second Year, the importance of working hard throughout the course, and sitting and performing well in all the Class Tests, cannot be overestimated. The tests will be designed to gauge whether or not you have mastered the basic concepts; although the questions will not be trivial, neither will they be ‘difficult’. A student who works diligently should be able to approach the January and May/June examinations secure in the knowledge that she/he is well on the way to reaching the 40% pass mark. Please note that if you fail an examination in January and/or May/June your mark in any re-sit examination (taken in August or subsequent years) will be determined solely on the basis of the written paper; coursework marks will not count. Marks obtained in August re-sit examinations are capped at 40%. Monitoring of Progress Your performance in class tests and homework will be monitored on a continuous basis. Students whose progress is unsatisfactory will be required to attend a meeting with the Senior Tutor. Student Presentations All Single Honours Mathematics students in Years 1, 2 and 3 will be required to give a short presentation, once a year, on a mathematical topic. First Year presentations, relating to a topic prescribed by the lecturer responsible, will normally take place in a tutorial class, unless the lecturer decides that it is appropriate for the presentation to take place at the start or end of his/her lecture, for example. In most cases students will be asked to present their solution to a simple problem, to be assigned in advance by the relevant lecturer. The presentation should last five minutes or a little longer.
Second and Third Year students will be invited to ‘sign up’ to give a presentation in a course of their choice ⎯ although there will be a limit as to how many presentations may take place in any one course; the sooner you sign up, the more likely you will be to be able to give your presentation on your favourite subject! Evaluation of Presentations Your presentation will be graded as Excellent, Good, Satisfactory or Fail. These grades will be recorded in your student file, and although they have no bearing on the class of degree that you will receive, they could be important if you ask a member of the Department to write a job reference on your behalf. The ability to express oneself clearly is highly valued in today’s world, and it is important to obtain some practice in the art of verbal communication before you graduate from King’s. Presentations are a small step in helping you to develop your skills in this area. Full details will be communicated in a document which will appear on the departmental notice board.
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Workload During term time you should expect to spend at least 40 hours per week on your studies. Lectures and tutorials will normally take up 16 hours of your time, but you cannot expect to follow your courses successfully without several hours a week of additional work on each course unit. It is particularly important that after each lecturing session you go through your notes making sure that you understand the material, and that your notes are sufficiently clear for you to be able to follow them when the lecture is no longer fresh in your memory. If you are not on top of the material from the preceding lectures you will find subsequent lectures hard to follow. It is also essential that you complete the assignments which are set as the course progresses. If you do this you will find you have digested a useful proportion of the material. Most of the time, when one is learning mathematics, one is struggling to cope with material that seems difficult. If you really are struggling, you will be learning more than you realise, but if you are stuck, do not give up – there are sources of help: Other students on the course. While you must not copy assessed coursework whose
mark contributes towards the mark for the course unit, most assignments are set as practice and collaboration is encouraged. Students helping each other is a two-way benefit; the student who needs help is assisted while the giver of help usually discovers that she/he understands the work better from having had to put it in her/his/ own words.
Tutorials, including the walk-in tutorials for first year students, provide an opportunity to ask questions about any aspect of the course.
The course lecturers and helpers will have office hours when they are available for consultation.
Submission of Projects and Essays All project or essay work must be handed in to the Office by noon on the date which will be specified at the beginning of the course. Normally two copies will be required and receipts will be provided by the Office. Late work will not be accepted except under special circumstances and it will normally receive a mark of zero. If the deadline is not met written evidence of extenuating circumstances, such as medical certificates or other written evidence, must be received by the Departmental Office within 48 hours of the deadline.
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8. EXAMINATION REGULATIONS These instructions supplement the College Regulations. They do not replace the College’s Academic Regulations, Regulations Concerning Students & General Regulations and the School’s Programme Specifications and Marking Scheme, which cover all aspects of your degree programme in detail. You can find the College Regulations in the College Libraries and on the web at: www.kcl.ac.uk/about/governance/regulations. The PSE School’s undergraduate marking scheme is available online at: www.kcl.ac.uk/depsta/pse/schoff/guidance/stc.html. And regulations at: www.kcl.ac.uk/depsta/pse/schoff/regs/regs.html. Our aim here is simply to help you to understand the way in which our programmes are run, the options available to you, and the procedures that you must follow for various eventualities. Please read this material carefully (and the College Academic Regulations, Regulations Concerning Students & General Regulations if you have concern on matters not covered here) and remember: ignorance is no excuse for failure to comply. Old and New Regulations You should be aware that different regulations apply to students who were first registered for their degree before 1998 (Old Regulations) than to those students who were first registered in 1998 or subsequent years (New Regulations). Full details of these regulations can be found in the College publication ‘Academic Regulations, Regulations Concerning Students and General Regulations’. Course Units – How many do I need to pass for a degree? King’s College requires that for the award of a three-year degree based on course units, a student should complete, and satisfy the examiners in courses to the value of 9 units. For the four-year MSci degree, a minimum of 14 course units is normally required. In Mathematics, all courses (with the exception of the MSci Project) have half-unit value. In each year, a student can enter the examinations for new courses to the value of 4 units, but resit examinations for courses failed the previous year can be taken in addition. This does not imply any restriction on your attending extra courses, but prevents you from sitting extra examinations. How long are the examinations? With the exception of the exams for a few ancillary courses, all written exams last 2 hours. When are degree examinations held? In what follows we discuss the procedures as they relate to examinations in Mathematics. All Mathematics examinations are examined at the end of the teaching year (with the exception of 4CCM111a (CM111A) and one or two ancillary courses with degree or midsessional exams in January). The examination period itself lasts for about a month and in the current session runs from Mon 7 May to Fri 18 June 2007. Joint Honours students need to bear in mind that some departments (e.g. Computer Science and Management Studies) examine their First Semester courses in January. Examination Papers At the end of each session, students are examined in the courses which they have taken during that session. Two examiners from the Department are assigned to each course. One is normally the member of staff who gave the course and this examiner is responsible
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for setting the paper. The other examiner ensures that the paper is accurate and reasonable, and the questions are then vetted by a ‘visiting examiner’. Currently we have five ‘visiting examiners’ in mathematics, one from another college of London University and four from universities outside London. The scripts are marked by both examiners and moderated by the same visiting examiner. The aim is to achieve a standard which is broadly comparable with other highly ranked university Mathematics Departments. There is no fixed proportion of first class marks or of failures. Rubrics The department's `standard rubric' is the commonest rubric for first- and second-year examination papers in the Mathematics Department. It runs as follows: This paper consists of two sections, Section A and Section B. Section A contributes half the total marks for the paper. Answer all questions in Section A. All questions in Section B carry equal marks, but if more than two are attempted, then
only the best two will count. In such an exam students are advised to concentrate first on completing Section A. This consists mainly of easier questions which should generally resemble exercises and/or examples from the lecture course. In order to obtain a high grade (as opposed to a pass) students will also need to provide answers that are as full as possible to two questions from Section B. These may require a little more thought and the rubric clearly encourages you to focus your energy on at most two such questions. Some exams may employ other, `non-standard' rubrics. (Because of the nature of the material of the course, for example, or because the paper has several sections). In third- and fourth-year exams this is particularly common. For instance, there may be a `non-standard' rubric of the following form (with some value of N, which is often less than the total number of questions on the paper): Full marks will be awarded for complete answers to N questions. Only the best N questions will count towards grades A or B, but credit will be given for
all work done for lower grades. In all courses the lecturer will inform you of which rubric is to be used. If coursework marks are included in the assessment of a course, then normally the provisions of the rubric are applied before these are added in. Calculators For examinations in which the use of calculators is permitted, calculators will be supplied by the College. You are not permitted to take your own calculator into the examination room. The calculators provided by the College are all versions of the CASIO fx-85. Although this calculator is of a standard kind and should be easy to use by all students, it comes in several versions all of which fall into two types. In versions of one type (e.g. Casio fx-85w) the calculation of f(x) is achieved by entering x and then applying the function button f. In versions of the other type (e.g. Casio fx-85s) the process is reversed i.e. one first applies the function button f and then enters x. You are advised to familiarise yourself with these two types well in advance of the exams. They are available from the short loan desk at the Maughan library (from where they may also be borrowed). If for a particular exam you prefer one type of calculator to the other then you may ask to be given it before or during that exam. Provided that enough are available, your request will normally be granted.
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Please note: as this handbook goes to press, the College is discussing a possible change, allowing students to use their own calculators if of a prescribed type verified by the department. If in doubt, please consult with the Exam board chair. Degree Titles The title of your degree will normally be that of your field of study. Single subject students may take some courses in (say) theoretical physics or computer science but provided that at least 3/4 of the courses passed are in mathematics then the degree title will be "Mathematics". For the precise rules concerning degree titles in single honours and in joint honours (“and” or “with” degrees) please see College’s Academic Regulations, Regulations Concerning Students & General Regulations, under “Field of Study” Registration for Examinations (Please see also the subsection in this handbook on Course Unit Registration, the College publication Academic Regulations, Regulations Concerning Students and General Regulations and the online assessment and examination information for students for further information in regard to Examination Regulations. The last two are available on the web: www.kcl.ac.uk/about/governance/regulations and www.kcl.ac.uk/kis/college/registry/assessinfo.html respectively.) Registration for examinations has to be made online via myKCL within the first two weeks of the session for all subjects (whether taught in the first or second terms or both) so that your entries can be registered in the College records. You will be notified of the detailed arrangements near to the time. Compulsory subjects will be entered automatically on your record but you must enter all optional subjects and resit examinations (even if you are only to resubmit coursework). You will then receive a list of your examination entries via myKCL. It is YOUR responsibility to check your entry, to inform the School Office if there are any errors or omissions and to meet all the relevant deadlines. The importance of doing this carefully cannot be overstated: almost every year some students find themselves in serious trouble during the examination period because, too late in the day, they discover that they are not registered for courses which they have taken. In this context it is of the utmost importance that you regularly study the ‘Urgent Notices Board’ opposite the Departmental office and read your e-mail on a daily basis. It may be possible to amend your registration list at a later date if you wish to change your choice of subjects, but (except in the case of a withdrawal under exceptional circumstances, see below) this will not be possible after a prescribed date to be announced early in the session. Any amendments should be approved by your Programme Director and must be submitted in writing by completing a form in the School Office. Students should be aware, that if, come the examination, it is found that they are not registered for an examination there is no guarantee that they will be allowed to sit it and/or gain credit for it. It should also be noted that admissions to an examination may be refused if, because your attendance is deemed inadequate, the authorities are unable to complete the certificate of attendance for the relevant subject. Special Examinations Arrangements If you have a learning or physical disability/condition (including pregnancy), and have not already received concessions for the whole of your programme, you can apply to the College's Special Examination Arrangements Committee (SEAC) for special examination provisions in respect of written examinations.
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You must provide supporting documentation where appropriate to support your request for special examination arrangements. If you have a learning disability, you must attach a FULL (Adult) dyslexia assessment report, not more than five years old, from a Chartered Educational Psychologist. If you have a physical disability or medical condition (including pregnancy) you must attach appropriate & recent evidence from your medical practitioner. Where possible, Form SN3 (Medical Certificate) of SN5 (Psychologists Summary) should be used and may be obtained from the Examinations Office website. You may include any other documentation which you feel should be considered by the SEAC. The closing dates for the submission of completed application forms and supporting documentation are in early November 2006 for written papers in semester 1 and/or 2 and March 2007 for summer examinations. You must check the deadline dates with the Examinations Office. No arrangements will be considered where the appropriate deadline has not been met, except in the case of accidental injury or acute illness. An application form is available from the School Office or on the web at: www.kcl.ac.uk/about/structure/admin/acareg/examinations/sea, and must be returned to the Examinations Office. If special provision is granted, then it will apply to one examination period only, and you will need to reapply for subsequent examination periods if the disability persists.
Attendance at Examinations You should make every effort to attend your examinations. It is YOUR responsibility to ascertain the time and place of all the examinations which you are sitting. Be sure to check the FINAL timetable which is available in the School Office and can also be reached via: www.kcl.ac.uk/about/structure/admin/acareg/examinations/students Unfortunately, virtually every year some students get dates and times wrong thinking, for example, that an examination was due to be held in the afternoon when in fact it took place in the morning. Be warned: if that happens, normally your absence will count as an attempt, you will receive a mark of zero, and non-first-year students will have to wait until the following year before they can resit the paper (concerning summer resits for first year students see the section on Progression). You must take a printout of your Examination Passport to all your examinations. It lists all examinations for which you are registered and will be obtainable from myKCL. Please note that you will not be permitted entry to any examinations for which you are not registered. Mitigating Circumstances: Withdrawal from Examinations or Extension of Deadlines The following notes are for guidance only. They address the question of what to do when circumstances beyond your control would seriously affect your performance in one or more examinations or prevent you from submitting an assessment by the deadline. Such `mitigating circumstances' might include significant illnesses or accidents, or the death of a close relative. For full details of procedures and conditions, see www.mth.kcl.ac.uk/about/governance/acboard/examiners/assessment/ and www.mth.kcl.ac.uk/undergraduate/current.html. For mitigating circumstances to be taken into account, you need to complete a Mitigating Circumstances Form (MCF) or an Extension Request Form (ERF). You may use these forms to request (possibly retroactive) withdrawal from the examination(s) in question or an extension to the deadline for the submission of an assessment. Alternatively, if you do not wish to withdraw from the exams, you may ask for consideration (of the mitigating
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circumstances). Please note however, that as of September 2005 it is no longer possible for individual examination marks to be altered as a result of any such consideration, even if granted by the board. It follows that consideration is only relevant (if granted at all) to the board's decision in assigning the overall degree class, and this only in cases in which the class as predicted by the I-indicator (`Award of Honours' below) is very close indeed to the borderline between classes. Consideration is therefore mostly of concern to finalists (although in some circumstances it may, if granted, be carried over to the final year). MCF and ERF forms are available from the School Office or the Examinations Office, and may also be downloaded from the Policy zone on the College website at www.kcl.ac.uk/college/policyzone/attachments/MCF%2005-06%20Web.pdf and www.kcl.ac.uk/college/policyzone/attachments/ERF%2005-06%20Web.pdf. They must be submitted to the School Office along with supporting evidence. If your withdrawal/extension request is rejected, you will not be allowed to withdraw/submit the assessment after the deadline. In particular, if you do not attend (or have not attended) the examination in question or submit the assessment after the deadline, a mark of zero will be recorded. If your withdrawal request is accepted, you will be withdrawn from the exam (if retroactively, your mark will be ignored) and it will not count as an attempt. Except under special conditions in which it is not appropriate (for example, if you are interrupting your studies) you will be offered a replacement examination which you must normally take at the first available opportunity. This might mean an August replacement (if a finalist, this would normally mean that you would not graduate until the following January). However, it might also mean that you are required to take the replacement the following year instead, in which case it would count towards the maximum total of four course units permitted in that year. If an extension request is accepted, a new deadline for the submission of the assessment in question will be set, or you will be permitted to negotiate a new deadline with the assessment organiser. The case you need to make for withdrawal/extension must satisfy very strict criteria, particularly if after the Easter holidays. These criteria then depend crucially on when the MCF and complete documentation are submitted: a) If submitted at least 7 days before the start of the first examination from which you
wish to withdraw/the deadline for which you require extension, you must include full documentary evidence (e.g. doctor's certificate) of why you are unfit to sit the exam for serious reasons beyond your control (not simply lack of preparation, or a minor ailment or condition). In this case, it should be possible for you to receive a decision before the exam.
b) If less than 7 days before the first exam/the deadline (or after the exam/deadline) your MCF1 will in addition need to show that you were unable, or for good reasons unwilling, to request a withdrawal/extension before the 7-day deadline prior to the examination. ‘Good reasons’ would include the circumstances arising less than 7 days before the examination, or if you were ill and in hospital up until 7 days before the examination or deadline and therefore unable to submit your MCF. The circumstances must also be severe enough to prevent you from attending and completing the exam (even under special arrangements, see above). In this case, because of the lack of time, a decision will only be reached after the exam(s) at the next meeting of the
1 Late extension requests must be submitted on a MCF not on an ERF.
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relevant Board of Examiners. The Board also reserves the right to offer you an alternative form of assessment.
It is important to recognise that by presenting yourself for an examination the College will normally consider that you are declaring yourself fit to take that examination and therefore whatever mark you are awarded will stand and you will not be granted a withdrawal or a replacement. Only in exceptional circumstances may you request to be retroactively withdrawn from an exam from which you have actually sat. In this case, your MCF and accompanying evidence must satisfy the next meeting of the Board of Examiners not only of serious mitigating circumstances which made you unfit to sit the exam but also why you were, for good reason, unable at the time of the exam to recognise that you were unfit to sit it (e.g. due to the nature of an illness). Finally, you should note that relatively few requests for withdrawal and replacement are granted. Only well-documented, serious circumstances are considered and they must be unlikely to persist until the date of the replacement. You should read carefully the criteria supplied with the MCF. You should also ensure that you inform the Senior Tutor, your Personal Tutor or Programme Board Chairman of your situation as soon as possible.
Appeal against a decision of a Board of Examiners If you wish to appeal against a decision of the Mathematics or School Board of Examiners you are advised first of all to contact the Chairman of the UG Mathematics Board to discuss the situation. You should note in particular:
That you may not challenge a decision of the board on academic grounds (e.g. because your assessment of your performance is different from theirs). In particular, you may not simply ask for a `re-mark': Contrary to some students' belief, College exam papers are never re-marked simply at a student's request.
That an appeal must meet very strict criteria before it is even considered. If, for instance, it is based on mitigating circumstances, then you will need to show that there is new information that, for good reason, could not be brought to the attention of the board (e.g. via an MCF) before the Board made its original decision.
That any appeal and all relevant documentation must normally be submitted within 14 days of the publication of progression or degree results on the departmental notice board or of the notification of individual exam results on myKCL, whichever is relevant
You should realise that few appeals are granted because of the strict criteria. However, if after discussion and serious consideration you decide to submit an appeal, you will find full details of the procedure at found at: www.mth.kcl.ac.uk/undergraduate/current.html. Award of Honours To be considered for the award of a three-year course-unit degree, you must pass courses to the value of 9 course-units. If you are registered for a four year MSci degree, 14 course-units are required. (However, if you obtain less that 14 but at least 9 you may be automatically reregistered and considered for the award of a BSc degree). Assuming that these minimum requirements are met, you will be considered for award of honours in one of the categories: First Class (1), Second Class Upper Division (2A), Second Class Lower Division (2B), Third Class (3). The award of honours is a College matter with procedures laid down in the College Regulations and the final decision on an award rests with the College. Recommendations to the School Boards for award of
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honours are made by the Board of Examiners in Mathematics for single subject students and the appropriate BSc or BA Joint Honours Board for joint honours students. As noted above (see ‘Examination papers’) visiting examiners from other London Colleges and other Universities are appointed to membership of the Boards to monitor the standard. The visiting examiners can see all the examination scripts, comment on the level of difficulty of the papers and act as arbitrators in borderline cases. The Boards make recommendations for award of honours on the basis of a full record of all course-unit examinations taken by the student. A preliminary indicator is calculated from the marks, but the Board decides each case on the basis of the student’s total performance and may take special circumstances into account. All marks for course-unit examinations (including coursework marks, if appropriate) are used in the calculation of the guiding indicator. For three year BSc degrees the first, second and third year marks are weighted in the ratio 1:3:5 (1:3:4 for students starting their course before 1998). For four year MSci degrees, the marks for each year are weighted in the ratio 1:3:5:5. Values of the indicator I in the ranges 100 ≥ I ≥ 70, 70 > I ≥ 60, 60 > I ≥ 50, and 50 > I ≥ 40 correspond to the classes 1, 2A, 2B and 3 respectively. However, in addition, a candidate for a first or upper second class degree must pass relevant courses to the value of 1.5 units in the final year at or above the level of honours being awarded. In this context language modules are not ‘relevant’.
We offer a brief description as to how the indicator is calculated in respect of post-1997 students. Bearing in mind the relevant year weightings (see above) and that students take at most eight half-unit courses per annum, BSc students have at most 1x8 + 3x8 + 5x8 = 72 scores, whilst MSci students have a maximum of 1x8 + 3x8 + 5x8 + 5x8 = 112 scores. However, the figures of 72 and 112 are reduced by the number of introductory courses. In what follows we assume that 4CCM111a (CM111A) Calculus I is the only introductory course, so that the figures of 72 and 112 reduce to 71 and 111 respectively. For BSc students let x=59, y=61 and for MSci students let x=92, y=95. Then I = (s+ 0.25r)/y, where s is the sum of the best x scores and r is the sum of the remaining scores. You can perform these calculations automatically using a complete set of real or hypothetical marks by means of the online indicator calculator, which can be found at: www.mth.kcl.ac.uk/~database/Database/Award.html. This formula will apply to almost all students of Mathematics, single and joint honours, in the School of Physical Science and Engineering. Other formulae apply, for instance to students who entered the College in their second or third year. Students reading for the BA in Mathematics and Philosophy or the BA in Mathematics and French are assessed for Honours in the School of Humanities Full details of the scheme for the award of honours are to be found in the College Academic Regulations.
It is important to understand that the indicator is merely a guide to the classification and the decisions are not made mechanically. For example, Boards have looked unfavourably on candidates who have not made serious attempts at resits of failed compulsory courses. The Boards have discretion which is exercised with great care to recommend just awards. Examination Results Final degree classifications and progression lists will be displayed within the Department as soon as possible after the meetings of the Programme and School Boards of Examiners. In the 2006/07 session this should be around July 9, 2007 or soon thereafter. Staff in the Mathematics Department are precluded by College rules from disclosing marks or literal grades. Complete details of your results will normally be mailed to
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you in late July by the School Office, so please do NOT contact the College asking to be told your results over the telephone; Data Protection restrictions do not permit staff to tell you your results in this way. College Debtors and Release of Examination Results The College is dependent on all students meeting their obligations in respect of fees at the proper time, i.e. on receipt of an invoice from the Accounts Department.
Under no circumstances will students have their results released (nor will they be able to obtain references from members of staff) if they have unpaid debts in respect of tuition or hall fees, or if they have any library books still on loan. Be warned: every year some finalists have the upsetting experience of discovering that their names have been omitted from the Honours List because they have defaulted in this area. A student who is in debt to the College should note that even after a debt has been discharged, several weeks may elapse before the necessary administrative procedures can be completed and the student’s results finally disclosed. Progression It is important that all students read this section carefully. First we discuss a set of general principles which govern progression at the end of the first and second years, and also August resits exams. Then we describe special (additional) criteria which determine whether or not a student reading for the MSci can continue as an MSci student in Years 3 and 4; MSci students who fail to meet these criteria will normally be transferred to the corresponding BSc programme. Finally, we address the question “What should I do if I cannot progress?”
Progression from Year 1 to Year 2 This depends on when students started their course: First Year students starting their course on or after Sept. 2004 Such students (Single or Joint Honours) must normally pass all the course units which they have taken in Mathematics as a condition for progression to the Second Year of study. Single Honours students of Mathematics must therefore normally pass all their course units in order to progress to Year 2. The progression of Joint Honours students depends on their passing all their Mathematics courses and satisfying any other special regulations operating in the sister department (Management, Computer Science etc), and in addition passing a total of at least 3.00 course units. Students of Mathematics and Management, for example, should be aware that Management does not offer August re-sit examinations. Students of Mathematics and Computer Science cannot enter the Second Year of this programme unless they pass at least one of the two programming courses (CS1PR1, CS1PR2). Students who fail to satisfy these requirements by the end of the May/June examinations will be offered an August resit examination in all Mathematics courses which they have failed. (For Joint Honours students however, August resits will only be granted if their progression to the second year is not already precluded by their results in the other discipline, see above). As for all resits, the August marks do not include coursework. Furthermore, if the student sits and passes, the mark will be capped at the pass mark. If the student is absent (or fails), the exam may be resat uncapped the following year
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(repeated Year 1) but this will be the final attempt. Guidance may be sought from the UG Chair of the Exam board. If in September, you have failed to meet the progression criteria, you will require to retake, in the following year, the papers which you have failed ⎯ see the section on Retaking Examinations below. (2) First Year students starting their course prior to Sept. 2004 Such students must pass a total of at least 3.0 course units in order to progress to Year 2. Progression from Year 2 to Year 3 New for 2006/7: Second Year students (whenever they started) must now pass a total of at least 3.0 second-year course units in order to progress to Year 3. This means, in particular, that any Single Honours students starting on or after September 2004 must have passed a total of 7 course units to progress to the 3rd year. August Resit Procedure Students who have failed to meet these conditions following the January and May/June Examinations may be offered August resit Examinations in maths and/or other disciplines (Note however that Management does not offer August re-sit examinations). The procedure for First Year students starting on or after Sept 2004 has been dealt with above. Any First Year students starting before Sept. 2004 should consult the exam board chair. Second Year students who have passed a total of only 2.5 or 2 second-year course units following the January and May/June Examinations may be offered one or two August re-sit examinations, respectively, in courses where their failing mark was at least 30%; in both cases this dispensation is at the discretion of the School Board of Examiners acting on the recommendation of the relevant Boards of Examiners. Marks obtained in August re-sit examinations are capped at the pass mark i.e. 40% and are normally based entirely on the exam, excluding any existing coursework. Please note that August resits are offered ONLY for progression purposes and are very different from the (uncapped) replacement examinations sometimes offered in August in respect of mitigating circumstances. See www.kcl.ac.uk/depsta/pse/schoff/resits/student.html for further information. If in September, you have failed to meet the progression criteria, you will require to retake, in the following year, the papers which you have failed ⎯ see the section on Retaking Examinations below. Even if you are able to progress, but have failed any of your courses, you should consider re-sitting them the following year ⎯ see the section on Retaking Examinations below. Students should be aware that jumping the hurdle at the minimum level, especially if many of the marks are close to the pass mark, indicates a clear need for greater effort if a good degree is to be obtained. Special rules pertaining to MSci students Students registered for the MSci in Mathematics will be assessed at the end of their Second Year of study. Those who have passed courses to the value of 7 course units and whose overall performance in the second year is of good second-class standard (normally interpreted as meaning an average mark of at least 60%) may continue in the MSci
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programme if they wish to do so. Students who do not continue in the MSci programme transfer to the BSc programme, complete their studies, and are assessed for Honours after one more year. In order to progress from the third to the final year of the MSci programme, a student must have passed at least 10 course-units, and an overall performance approaching the Upper Second Class level is normally required. This is understood to imply that the student has an indicator I (based on the marks for the first three years) in excess of 59, and that the ‘trend’ of the student’s marks in the third year is not significantly downward. Similar considerations apply to Joint Honours MSci Students whose progression will be determined in consultation with the other department. Students who do not meet these requirements will be automatically transferred to the BSc programme and considered for Honours and graduation, by the Board of Examiners, at the end of their third year. What should I do if I cannot progress? If, following the May/June examinations, you find that you have not qualified for admission to the next year of the course, you are strongly advised to contact your Personal Tutor or the Senior Tutor as soon as possible in order to discuss your position and talk over future plans. Far too few students come to discuss their failure with members of staff, all of whom are ready and willing to help where they can, and some students probably give up quite unnecessarily for want of freely available advice at the right time. You should carefully read the whole of this Progression Section of How the System Works and take appropriate steps in line with the rules described above. If in September, after taking advantage of all the available possibilities, you cannot progress to the following year, you should carefully note the following section.
Resitting Examinations The procedures governing (capped) August resit examinations for progression purposes have been explained above. If the student cannot progress then all failed exams must be resat the following year. However, even if the student has progressed the College Regulations allow for students to resit failed examinations. First year courses and compulsory courses in the second year are important constituents of the degree and students are normally expected to resit any such courses which they fail; students may also resit other failed courses and this is usually advisable. The College Regulations require that all resits must be taken at the first available opportunity, otherwise the right to a resit may be forfeited. Consequently re-entry for a failed examination should be made in the following year. Moreover, students may be allowed to re-sit a particular examination at most twice (making 3 attempts in all, including any August re-sits) but this is subject to the approval of the Chairman of the School Board of Examiners, acting on the recommendations of the Board of Examiners in Mathematics, and it should not be assumed that a total of three attempts is ‘guaranteed’. Unlike August resits, examinations sat the following year are uncapped. However, in Mathematics all re-sit marks are based on the written paper alone, discounting any existing coursework mark. Please note the following: If you are resitting exams from outside college, it is your responsibility to register for re-sit examinations with the school office (see “Registration for Examinations” above). It is also your responsibility, in the case of a re-sit, to contact the current course lecturer to check for any change either in course content or the style of the examination. If you have passed an examination, you are NOT allowed to retake it to
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improve your mark. If you fail both an exam and all the resits for a particular course, the highest mark will be the one entered into the indicator calculation (see above). Overseas examinations In appropriate circumstances it may be possible to sit examinations at a British Council (or similar approved institution) office overseas. To do so, you should complete an ‘Application for Special Examination Arrangements for Written Examinations’ available from the Examinations Office (e-mail: [email protected] or on the web at www.kcl.ac.uk/about/structure/admin/acareg/examinations/sea). Note that the College charges an administration fee (in addition to the examination fee) for making the necessary arrangements. BSc/MSci transfers Transferring `up' Students may transfer registration from the BSc to the MSci up to the end of the second year. However Local Authorities are only required to provide the extra year’s support for the MSci if the transfer is made by the 16th month after arrival. There is no disadvantage to you in registering as an MSci student if you are uncertain about your intentions. Those students who are registered for the BSc degree and reach the required standard at the end of the second year (see MSci progression above) may also transfer to the MSci at the start of the third year if they wish to do so. Students on Local Authority BSc awards may apply for their three year awards to be extended to a fourth year, but at this stage the Local Authorities are not obliged to agree to this. It is not normally possible for a student to transfer from the BSc programme to the MSci programme after the start of the third year, for the following reasons. Although there is a substantial degree of common syllabus between the two degree programmes in the third year, MSci students have more compulsory courses and fewer options in the third year. They also have options which include more advanced material which will be needed in their final year. However, a third-year BSc student who happens to have taken all the third-year modules which are compulsory for the MSci may be permitted to transfer to the MSci up until the 31st March of the third year, subject to the approval of the relevant programme director. Transferring `down' Students who are registered for the MSci degree but do not reach the required standard at the end of the second year are automatically transferred to the BSc (see MSci progression above). Voluntary transfer from the MSci to the BSc may also be possible at any time up to the end of the third year, subject to approval of Head of Department and the School of Physical Science and Engineering. Requests made after the start of third year exams, even if granted, may delay graduation beyond July of that year. All your own work? The College regards the following types of behaviour as serious disciplinary offences for which severe penalties can be applied. It is important that, as a student, you understand that cheating, collusion, fabrication and plagiarism, as defined below, are unacceptable; furthermore, they will not help your learning in the long term.
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Cheating Includes:- communicating with any other student in an examination copying from any other student in an examination bringing any unauthorised material into the examination room with the intention of using
it during the examination copying coursework
Collusion Includes:- collaborating with other students in preparing a piece of work and the submitting it in an
identical or similar form and claiming it to be your own obtaining unauthorised co-operation of any other person when preparing work which
you present as being your own allowing someone to copy your work which they then present as being their own
Fabrication Refers to research or experimental work, when unjustifiable claims are made to have obtained certain results. Plagiarism Includes:- creating the impression that someone else’s work is your own quoting someone word for word or summarising what they say without acknowledging
them in a reference. You are reminded that all work submitted as part of the requirements for any examination of the University of London (of which King’s College is a part) must be expressed in your own words and incorporate your own ideas and judgements. Plagiarism must be avoided in examination scripts but particular care should also be taken in coursework, essays and reports. Direct quotations from published or unpublished works of others (including lecture hand-outs) must always be clearly identified as such by being placed inside quotation marks and a full reference to their source must be provided in the proper form. A series of short quotations from several different sources, if not clearly identified as such, constitutes plagiarism just as much as does a single unacknowledged long quotation from a general source. Paraphrasing – expressing another person’s ideas or judgements in other words – can be plagiarism if the origin of the text is not acknowledged or the work paraphrased is not included in the bibliography. Also counted as plagiarism is the repetition of your own work, if the fact that the work has been or is to be presented elsewhere (especially if it has already been presented for assessment) is not clearly stated.
Plagiarism is a serious examination offence. An allegation of plagiarism or any other form of cheating can result in action being taken under the College’s Misconduct regulations (www.kcl.ac.uk/college/policyzone/attachments/B3v2005.pdf). A substantiated charge of plagiarism will result in a penalty being ordered ranging from a mark of zero for the assessed work to expulsion from the College. You will be asked to sign the College Plagiarism Statement saying that you understand what plagiarism is. The signed statement will be retained by your Department. A copy of the statement is included at the end of this handbook for your information; if you have not already signed such a statement, you should copy this statement and hand it in to your Departmental Office. You will also be required to sign and attach a statement to each
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piece of work submitted for assessment indicating that they have read and understood the College statement on plagiarism.
9. PROGRAMMES OF STUDY Students in the Department of Mathematics are classified as either single subject or joint honours students. The following fields of study are available. Single subject honours Mathematics Mathematics with Philosophy of Mathematics Mathematics with Education Mathematics with Management and Finance
Joint honours In the School of Physical Sciences and Engineering: Mathematics and Computer Science Mathematics and Computer Science (Management) Mathematics and Management Mathematics and Physics Mathematics and Physics with Astrophysics
In the School of Humanities: French and Mathematics Mathematics and Philosophy
Movement from one field of study to another may be possible but only with the approval of all departments involved. Set out below are the normal programmes for each year of each field of study. The aim of the Department is to provide as much flexibility as possible in the choice of courses, but it has been found in practice that this can only be achieved in the later years by restricting the first year choice. There is a Programme Director for each year of each field of study. Students should discuss their programme with the appropriate Programme Director, who must approve the programme and any subsequent changes. Some courses have prerequisites, which should be discussed with the Programme Director. As a general rule, students who fail a compulsory course are required to resit the examination. Programme Regulations are available on request from the School Office. Please note: As of 2005/06 the word `core', as applied to all Mathematics modules, is used in this handbook to mean `has to be taken AND has to be passed' (e.g. all first year
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Mathematics modules are core modules for students starting in September 2004 or after). In the same context, `compulsory' will be used to mean only that the module `has to be taken'. For ‘core’ modules in other disciplines, students are advised to refer to the appropriate department for clarification.
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Mathematics BSc/MSci (UCAS Code: BSc programme - G100; MSci programme - G103) Single subject Mathematics students are registered either for the BSc degree or the MSci degree. The BSc in Mathematics is a three-year programme, whilst the MSci in Mathematics is a four-year programme. All students take official examinations, mostly at the end of each year. The BSc and MSci programmes are the same for the first two years. All information in this booklet about first and second year single subject Mathematics applies to both programmes. First Year Programme Director: Professor ACC Coolen Core courses: First semester 4CCM111a (CM111A) Calculus I
CM113A Linear Methods 4CCM115a (CM115A) Numbers & Functions CM122A Geometry I
Second semester CM112A Calculus II
CM121A Introduction to Abstract Algebra CM131A Introduction to Dynamical Systems CM141A Probability and Statistics I
NOTE: In order to progress to the Second Year students must pass ALL courses, either in the January and May/June examinations or following August re-sit examinations. Passes obtained in August re-sit examinations are capped at the pass mark. Second Year Programme Director: Professor G Papadopoulos There is a group of compulsory courses which all students must take, and a choice of optional courses. It is advisable to try all of the courses for the first two weeks before finally selecting the eight which you will continue with.
First semester Compulsory courses: CM211A PDEs and Complex Variable
CM221A Analysis 1 CM222A Linear Algebra CM231A Intermediate Dynamics
Second semester Compulsory courses: CM223A Geometry of Surfaces
5CCM232a (CM232A) Groups and Symmetries Standard options: CM224X Elementary Number Theory
CM241X Probability and Statistics II CM251X Discrete Mathematics
Students should note that CM224X and CM251X cannot be taken in the Third Year.
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Third Year (BSc) Programme Director: Professor G Papadopoulos There are two courses of which students are required to take at least one, and a choice of optional courses. In addition to the optional courses given below, BSc students may also take any of the second year optional courses, with the exception of CM224X and CM251X, or suitable MSci courses, subject to the approval of the Programme Director and compatibility with the timetable. First semester Compulsory courses: Students must take at least one of the following courses:
CM321A Real Analysis II CM331A Special Relativity and Electromagnetism
Standard options: 6CCM320a (CM320X) Topics in Mathematics CM322C Complex Analysis CM332C Introductory Quantum Theory 6CCM354a (CM354X) Introduction to Optimisation CM356Y Linear Systems with Control Theory 6CCM359a (CM359X) Numerical Methods
Second semester Standard options: CM241X Probability and Statistics II
6CCM320a (CM320X) Topics in Mathematics CM326Z Galois Theory CM327Z Topology CM328X Logic CM330X Mathematics Education and Communication CM334Z Space-Time Geometry and General Relativity CM338Z Financial Mathematics CM360X History and Development of Mathematics
Third year BSc students may elect to do a project as a half-unit option (CM345C). They may also choose to take a half-unit language course, normally from the KCL
language unit, subject to the approval of the Programme Director. Note however, that a pass in a language course, although counting towards your indicator, does not contribute to satisfying the requirement that in order to obtain a First or Upper Second class degree a candidate must pass at least 3 modules at the level at which the degree is awarded.
Students may, subject to the approval of the Programme Director, also take courses at other Colleges.
In particular, the following courses are available at University College: O1C327 Real Analysis O1C365 Geometry of Numbers O1C371 Analytic Theory of Numbers
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Note: CM320X, 6CCM354a (CM354X), CM356Y, CM360X cannot be taken in the fourth year. Third Year (MSci) Programme Director: Professor G Papadopoulos There are four compulsory courses which all students must take. Optional units are subject to the agreement of the Programme Director and timetable issues. First semester Compulsory courses: CM321A Real Analysis II
CM322C Complex Analysis CM331A Special Relativity and Electromagnetism CM332C Introductory Quantum Theory
Standard options: 6CCM320a (CM320X) Topics in Mathematics
6CCM354a (CM354X) Introduction to Optimisation CM356Y Linear Systems with Control Theory
6CCM359a (CM359X) Numerical Methods Second semester
Standard options: CM241X Probability and Statistics II 6CCM320a (CM320X) Topics in Mathematics CM326Z Galois Theory CM327Z Topology
CM328X Logic CM334Z Space-time Geometry and General Relativity
CM338Z Financial Mathematics CM360X History and Development of Mathematics If you are registered for the MSci and wish to remain eligible to proceed to the fourth year of this degree, you must take the compulsory courses listed above. Fourth Year (MSci) Programme Director: Dr E Shargorodsky There is a compulsory Project Option (CM461C), which all students are required to take, and a choice of optional courses. In addition to the optional courses given below, students may also take suitable third year courses subject to the approval of the Programme Director. All fourth year MSci students are required to complete a project on a mathematical topic. This involves writing a report of between 5,000 and 10,000 words, giving an informal seminar to staff and fellow students and producing a poster. The project counts as a full unit, which makes it a very important part of the final year. Each student will have a supervisor; their task is to advise not direct the project, but students are advised to show them a draft of the report at an early stage. Students must complete a form stating the topic and provisional title of the project which must be signed
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by the supervisor and returned to the projects co-ordinator, Professor G Papadopoulos, by Monday 2nd October 2006. There will be informal seminars during the first (revision) week of the second semester and the deadline for submission of projects is Wednesday 21st March 2007. Note: CM320X, 6CCM354a (CM354X), CM356Y, CM360X cannot be taken in the fourth year. First semester Compulsory course: CM461C Project Standard options: 7CCMMS08 (CM414Z) Operator Theory CM424Z Lie Groups & Lie Algebras
CM436Z Quantum Mechanics II CM437Z Manifolds 7CCMMS32 (CM438Z) Quantum Field Theory CM451Z Neural Networks CM467Z Applied Probability and Stochastics 7CCMMS05 (CMMS05) Basic Analysis
Second semester Standard options: CM330X Mathematics Education and Communication
CM418Z Fourier Analysis 7CCMMS38 (CM433Z) Advanced General Relativity CM435Z Point Particles & String Theory 7CCMMS40 (CM439Z) Introduction to Supersymmetry
Final year students may choose to take courses at other Colleges. In particular, the following courses at University College are available as part of a reciprocity arrangement: O1C327 Real Analysis O1C365 Geometry of Numbers O1C371 Analytic Theory of Numbers
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Mathematics with Philosophy of Mathematics BSc/MSci (UCAS code: BSc programme - G1V5; MSci programme - G1VM) Programme Director: Dr LJ Landau The BSc degree consists of 9 or 8½ course units in Mathematics, together with 3 or 3½ course units in Philosophy. The MSci degree roughly follows the MSci in the Mathematics programme, but is identical to the BSc programme as regards Philosophy in the first three years. In the Fourth Year students take advanced courses from the MSci programme in Mathematics and no taught courses in Philosophy but they may choose to take the compulsory 1.00 cu project in Philosophy rather than in Mathematics. The following is the recommended choice of mathematics courses for the first two years of both the BSc and MSci. First Year First semester Core courses: 4CCM111a (CM111A) Calculus I
CM113A Linear Methods 4CCM115a (CM115A) Numbers and Functions AN1271 What is Science? (0.50 cu)
Second semester Core courses: CM112A Calculus II
CM121A Introduction to Abstract Algebra CM131A Introduction to Dynamical Systems CM141A Probability and Statistics I
NOTE: In order to progress to the Second Year students must pass ALL Mathematics courses, either in the January and May/June examinations or following August re-sit examinations. Passes obtained in August re-sit examinations are capped at the pass mark. Second Year First semester Compulsory courses: CM221A Analysis 1
CM222A Linear Algebra CM231A Intermediate Dynamics
Either AN4040 Logic & Metaphysics (1.00 cu)
Or AN4060 Epistemology & Methodology (1.00 cu)
Standard option: CM122A Geometry I CM211A PDEs and Complex Variable Note: AN4040 and AN4060 are taught over both semesters; AN4040, Logic and Metaphysics, is the better choice in relation to timetable considerations.
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Note: Students should note that CM224X and CM251X cannot be taken in the Third Year. Second semester Compulsory courses: CM328X Logic
Either AN4040 or AN4060, as chosen in the Semester 1 Standard options:
CM223A Geometry of Surfaces CM224X Elementary Number Theory
5CCM232a (CM232A) Groups and Symmetries CM241X Probability and Statistics II CM251X Discrete Mathematics Students should note that CM224X and CM251X cannot be taken in the Third Year. Third Year First semester Compulsory courses: AN4240 Philosophy of Mathematics (1.00 cu) and Either AN4274 Rise of Modern Science (0.50 cu) Or AN4276 Computers and the Mind (0.50 cu) Standard options: 6CCM320a (CM320X) Topics in Mathematics
CM321A Real Analysis II CM322C Complex Analysis CM331A Special Relativity and Electromagnetism CM332C Introductory Quantum Theory 6CCM354a (CM354X) Introduction to Optimisation CM356Y Linear Systems with Control Theory
6CCM359a (CM359X) Numerical Methods Second semester Standard options: CM241X Probability and Statistics II 6CCM320a (CM320X) Topics in Mathematics CM326Z Galois Theory CM327Z Topology
CM330X Mathematics Education and Communication CM334Z Space-time Geometry and General
Relativity CM338Z Financial Mathematics CM360X History and Development of Mathematics
Subject to the approval of the relevant Programme Directors BSc students may take an extra 0.50 cu course in Philosophy, in lieu of Mathematics, in the Third Year. Third year BSc students may elect to do a project as a half-unit option (CM345C).
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They may also choose to take a half-unit language course, normally from the KCL language unit, subject to the approval of the Programme Director. Note however, that a pass in a language course, although counting towards your indicator, does not contribute to satisfying the requirement that in order to obtain a First or Upper Second class degree a candidate must pass at least 3 modules at the level at which the degree is awarded.
Students may, subject to the approval of the Programme Director, also take courses at other Colleges.
In particular, the following courses are available at University College: O1C327 Real Analysis O1C365 Geometry of Numbers O1C371 Analytic Theory of Numbers Note: CM320X, 6CCM354a (CM354X), CM356Y, CM360X cannot be taken in the fourth year. Third Year (MSci) First semester Compulsory courses: AN4240 Philosophy of Mathematics (1.00 cu) and Either AN4274 Rise of Modern Science (0.50 cu) Or AN4276 Computers and the Mind (0.50 cu) Standard options: 6CCM320a (CM320X) Topics in Mathematics
CM321A Real Analysis II CM322C Complex Analysis CM331A Special Relativity and Electromagnetism CM332C Introductory Quantum Theory 6CCM354a (CM354X) Introduction to Optimisation CM356Y Linear Systems with Control Theory
6CCM359a (CM359X) Numerical Methods Second semester Standard options: CM241X Probability and Statistics II 6CCM320a (CM320X) Topics in Mathematics CM326Z Galois Theory CM327Z Topology
CM330X Mathematics Education and Communication CM334Z Space-time Geometry and General
Relativity CM338Z Financial Mathematics CM360X History and Development of Mathematics
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Fourth Year (MSci) All students must complete a one-unit Project, either on Mathematics or Philosophy, and a choice of courses from the Fourth Year Mathematics programme, subject to the agreement of the Programme Director and timetable issues. Compulsory courses: CM461C Mathematical Project (1.00 cu) or AN4500 Philosophy Dissertation (1.00 cu) First semester Standard options: 7CCMMS08 (CM414Z) Operator Theory
CM424Z Lie Groups & Lie Algebras CM436Z Quantum Mechanics II CM437Z Manifolds 7CCMMS32 (CM438Z) Quantum Field Theory CM451Z Neural Networks
CM467Z Applied Probability and Stochastics 7CCMMS05 (CMMS05) Basic Analysis
Second semester Standard options: CM330X Mathematics Education and Communication CM418Z Fourier Analysis
7CCMMS38 (CM433Z) Advanced General Relativity CM435Z Point Particles & String Theory
7CCMMS40 (CM439Z) Introduction to Supersymmetry Students may take courses at other colleges, subject to the approval of the Programme Director. In particular, the following courses are available at University College: O1C327 Real Analysis O1C365 Geometry of Numbers O1C371 Analytic Theory of Numbers
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Mathematics with Education BSc (UCAS code: G1X3) Programme Director: Dr LJ Landau First Year Mathematics
First semester Core courses: 4CCM111a (CM111A) Calculus I
CM113A Linear Methods 4CCM115a (CM115A) Numbers and Functions
Second semester Core courses: CM112A Calculus II CM121A Introduction to Abstract Algebra
CM131A Introduction to Dynamical Systems CM141A Probability and Statistics I
The Education component consists of SE1200 The Teaching of Mathematics/Science.
Second Year Mathematics First semester Compulsory courses: CM122A Geometry I CM211A PDEs and Complex Variable
CM221A Analysis I CM231A Intermediate Dynamics
Second semester Compulsory courses: 5CCM232a (CM232A) Groups & Symmetries
CM241X Probability and Statistics II The Education component consists of SE1100 Education and Society, and SEM904 the History and Philosophy of Education. Third Year Mathematics
First Semester Standard options: CM222A Linear Algebra
CM331A Special Relativity and Electromagnetism 6CCM354a (CM354X) Introduction to Optimisation CM356Y Linear Systems with Control Theory 6CCM359a (CM359X) Numerical Methods
Second Semester Compulsory course: CM360X History and Development of Mathematics
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Standard options: CM224X Elementary Number Theory CM251X Discrete Mathematics CM328X Logic CM330X Mathematics Education and Communication
Students may choose other courses from the programme for the BSc in Mathematics, such as CM321A Real Analysis II, CM322C Complex Analysis, subject to the approval of the Programme Director.
The education component consists of SE2201 The Psychological Basis of Learning, and SE4120 (1.00 cu) Education Report. Please see the Education Department’s undergraduate handbook for semester times.
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Mathematics with Management and Finance BSc (UCAS Code: BSc programme – G1N2 ) Programme Director: Dr WJ Harvey First Year Core courses: First semester 4CCM111a (CM111A) Calculus I
CM113A Linear Methods 4CCM115a (CM115A) Numbers & Functions SMN110 Economics
Second semester CM112A Calculus II
CM141A Probability and Statistics I CM121A Introduction to Abstract Algebra SMN129 Organisational Behaviour
Second and Third year information for this new programme is included here for information only, as follows: Second Year First semester Compulsory courses: CM211A PDEs and Complex Variable
Either CM221A Analysis I
or 5CCM250a (CM2504) Applied Analytic Methods CM222A Linear Algebra SMN212 Principles of Marketing
Second semester Compulsory courses: 5CCM232a (CM232A) Groups & Symmetries
CM241X Probability and Statistics II CM251X Discrete Mathematics
SMN210 Accounting Third Year Compulsory course: Either SMN317 International business Or SMN339 Human Resource Management Standard options: CM321A Real Analysis II CM322C Complex Analysis 6CCM354a (CM354X) Introduction to Optimisation
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CM356Y Linear Systems with Control Theory 6CCM359a (CM359X) Numerical Methods
Second Semester Compulsory course: CM338Z Financial Mathematics SMN325 Business Strategy
Standard options: CM223A Geometry of Surfaces CM326Z Galois Theory CM328X Logic CM330X Mathematics Education and Communication CM360X History and Development of Mathematics
Other compulsory courses include: CM380X Topics in Applied Probability and CM388Z Financial Markets, semesters to be decided. Other optional courses are CM335Z Non-Linear Dynamics which alternates annually with CM352Y Chaotic Dynamics, neither of which is available in 2006/07. Other options may also be permitted subject to the agreement of the Programme Director and timetable issues. Students may also take courses at other colleges, subject to the approval of the Programme Director. In particular, the following courses are available at University College: O1C327 Real Analysis O1C365 Geometry of Numbers O1C371 Analytic Theory of Numbers .
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Joint Honours Courses In a joint honours course the student's time is divided more or less equally between the two main subjects. Nevertheless, there is scope for flexibility to take account of individual preferences and developing interests and abilities. There is in fact the opportunity in later years to adjust the distribution of courses so that more time is devoted to one subject than the other. Constraints of the timetable must obviously be borne in mind and, in any case, it is crucial that the appropriate Programme Director be consulted. The majority of Mathematics courses taken by Joint Honours students are the same as the ones taken by Single Subject mathematicians. However, some courses have been devised with the special needs of the Joint Honours student in mind.
The responsibility for non-mathematics courses rests with the relevant department. They may make changes which are not reflected in this booklet, and you must consult their booklet and/or programme director for definitive information.
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Mathematics and Computer Science BSc (UCAS code: GG14) Programme Director: Professor ACC Coolen First Year First semester Core courses: 4CCM111a (CM111A) Calculus I
CM113A Linear Methods CS1PRP Programming Practice CS1CS1 Computer Systems I
Second semester Core courses: CM112A Calculus II
CM141A Probability and Statistics I CS1PRA Programming Applications CS1DST Data Structures
Students should note that they must pass at least one of CS1PRP and CS1PRA in order to progress to Year 2. NOTE: In order to progress to the Second Year students must pass ALL Mathematics courses, either in the January and May/June examinations or following August re-sit examinations. Passes obtained in August re-sit examinations are capped at the pass mark. Second Year First semester Compulsory courses: 5CCM115b (CM115A) Numbers and Functions
Either CM221A Analysis I
or 5CCM250a (CM2504) Applied Analytic Methods
CS2SAP Software Architectures and Patterns CS02DB Database Systems
Second semester Compulsory courses: 5CCM121b Introduction to Abstract Algebra CM328X Logic
CS2PLD Programming Language Design and Paradigms CS2OSC Operating Systems and Concurrency
Third Year Students will normally take four of the following mathematics courses and four of the computer science courses:
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Standard options: First semester CM211A PDEs and Complex Variable 6CCM320a (CM320X) Topics in Mathematics
6CCM354a (CM354X) Introduction to Optimisation CM357Y Introduction to Linear Systems with Control
Theory2 6CCM359a (CM359X) Numerical Methods
CS3GRS Computer Graphics Systems CS3SMT Software Measurement and Testing CS3AFL Automata and Formal Languages CS3INS Internet Systems CS3CTT Compiling Techniques and Tools CS3PAL Parallel Algorithms CS3PR1 Computer Science Project
Second semester CM223A Geometry of Surfaces CM224X Elementary Number Theory 6CCM232b (CM232A) Groups and Symmetries
CM241X Probability and Statistics II CM251X Discrete Mathematics
6CCM320a (CM320X) Topics in Mathematics CM330X Mathematics Education and Communication
CM360X History and Development of Mathematics CS3DNL Data Extraction in Natural Language CS3CAR Computer Architecture CS3CMM Compression Methods for Multimedia CS3CIS Cryptography and Information Security CS3DDP Deductive Databases and Logic Programming CS3LOM Logical Modelling CS3SIA Software Engineering of Internet Applications CS3DSM Distributed Systems CS3SAD Software Architecture and Design CS3PR2 Computer Science Project
Other options available to 3rd year single honours students may be taken where the timetable allows, subject to approval by the Programme Director. The responsibility for non-mathematics courses rests with the relevant department. They may make changes which are not reflected in this booklet, and you must consult their booklet and/or programme director for definitive information.
2 This course is not an option for students who have previously taken CM131A, Introduction to Dynamical Systems.
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Mathematics and Computer Science MSci (UCAS code: GGD4) Programme Director: Professor ACC Coolen First Year First semester Core courses: 4CCM111a (CM111A) Calculus I CM113A Linear Methods
CS1PRP Programming Practice CS1CS1 Computer Systems I
Second semester Core courses: CM112A Calculus II CM141A Probability and Statistics I
CS1PRA Programming Applications CS1DST Data Structures
Students should note that they must pass at least one of CS1PRP and CS1PRA in order to progress to Year 2. NOTE: In order to progress to the Second Year students must pass ALL Mathematics courses, either in the January and May/June examinations or following August re-sit examinations. Passes obtained in August re-sit examinations are capped at the pass mark.
Second Year First semester Compulsory courses: 5CCM115b (CM115A) Numbers and Functions CM221A Analysis I CS2SAP Software Architectures and Patterns
CS02DB Database Systems
Second semester Compulsory courses: 5CCM121b Introduction to Abstract Algebra CM328X Logic
CS2PLD Programming Language Design Paradigms CS20SC Operating Systems and Concurrency
Third Year Students will normally take eight of the following courses: Standard options: First semester CM211A PDEs and Complex Variable
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6CCM320a (CM320X) Topics in Mathematics CM321A Real Analysis II CM322C Complex Analysis 6CCM354a (CM354X) Introduction to Optimisation* CM357Y Introduction to Linear Systems with Control
Theory3* 6CCM359a (CM359X) Numerical Methods CS3GRS Computer Graphics Systems CS3SMT Software Measurement and Testing CS3AFL Automata and Formal Languages CS3INS Internet Systems CS3CTT Compiling Techniques and Tools CS3PAL Parallel Algorithms CS3PR1 Computer Science Project
Second semester CM223A Geometry of Surfaces CM224X Elementary Number Theory* 6CCM232b (CM232A) Groups and Symmetries CM241X Probability and Statistics II CM251X Discrete Mathematics* 6CCM320a (CM320X) Topics in Mathematics
CM326Z Galois Theory CM327Z Topology CM330X Mathematics Education and Communication CM338Z Financial Mathematics
CM360X History and Development of Mathematics CS3DNL Data Extraction in Natural Language CS3CAR Computer Architecture CS3CMM Compression Methods for Multimedia CS3CIS Cryptography and Information Security CS3DDP Deductive Databases and Logic Programming CS3LOM Logical Modelling CS3SIA Software Engineering of Internet Applications CS3DSM Distributed Systems CS3SAD Software Architecture and Design CS3PR2 Computer Science Project
Other options may also be permitted subject to the agreement of the Programme Director and timetable issues. * These options may not be taken in the fourth year. Fourth Year Core course: CS4PRJ1/2 Computer Science Project Standard options - A choice of 6 options from the following list, of which 4 should be Mathematics. One Computer Science option is to be taken in each semester. 3 This course is not an option for students who have previously taken CM131A, Introduction to Dynamical Systems.
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First semester CM321A Real Analysis II CM322C Complex Analysis 7CCMMS08 (CM414Z) Operator Theory CM424Z Lie Groups and Lie Algebras CM437Z Manifolds CM451Z Neural Networks 7CCMMS05 (CMMS05) Basic Analysis CSMAMS Agents and Multi-agent Systems CSMGAA Geometric Algorithms with Applications CSMDBT Database Technology CSMAIN Artificial Intelligence CSMART Advanced Research Topics
Second semester CM326Z Galois Theory
CM327Z Topology CM330X Mathematics Education and Communication CM338Z Financial Mathematics
CM418Z Fourier Analysis CSMTSP Text Searching and Processing CSMACMB Algorithms for Computational Molecular Biology CSMRAL Randomised Algorithms CSMNOS Normative Systems CSMNOP Network Optimisation CS4CFC Computer Forensics and Cybercrime CSMCOM Computational Models CSMSCS Safety Critical Systems
Other options may also be permitted subject to the agreement of the Programme Director and timetable issues. Students may also take courses at other colleges, subject to the approval of the Programme Director. In particular, the following courses are available at University College: O1C327 Real Analysis O1C365 Geometry of Numbers O1C371 Analytic Theory of Numbers The responsibility for non-mathematics courses rests with the relevant department. They may make changes which are not reflected in this booklet, and you must consult their booklet and/or programme director for definitive information.
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Mathematics and Computer Science (Management) BSc (UCAS code: GGC4) Programme Director: Prof ACC Coolen First Year First semester Core courses: 4CCM111a (CM111A) Calculus I CM113A Linear Methods
CS1PRP Programming I CS1CS1 Computer Systems I
Second semester Core courses: CM112A Calculus II CM141A Probability and Statistics I
CS1PRA Programming Applications CS1DST Data Structures
Students should note that they must pass at least one of CS1PRP and CS1PRA in order to progress to Year 2. NOTE: In order to progress to the Second Year students must pass ALL Mathematics courses, either in the January and May/June examinations or following August re-sit examinations. Passes obtained in August re-sit examinations are capped at the pass mark. Second Year First semester Compulsory courses: 5CCM115b (CM115A) Numbers and Functions Either CM221A Analysis I
or 5CCM250a (CM2504) Applied Analytic Methods
CS2SAP Software Architectures and Patterns CS02DB Database Systems
Second semester Compulsory courses: 5CCM121b Introduction to Abstract Algebra CM328X Logic
CS2PLD Programming Language Design and Paradigms SMN129 Organisational Behaviour
Third Year First semester Core courses: SMN212 Marketing Standard options: CM211A PDEs and Complex Variable
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6CCM320a (CM320X) Topics in Mathematics 6CCM354a (CM354X) Introduction to Optimisation CM357Y Introduction to Linear Systems with Control
Theory4 6CCM359a (CM359X) Numerical Methods CS3GRS Computer Graphics Systems CS3SMT Software Measurement and Testing CS3AFL Automata and Formal Languages CS3INS Internet Systems CS3CTT Compiling Techniques and Tools CS3PAL Parallel Algorithms CS3PR1 Computer Science Project
Second semester Core courses: SMN210 Accounting Standard options: CM223A Geometry of Surfaces CM224X Elementary Number Theory 6CCM232b (CM232A) Groups and Symmetries
CM241X Probability and Statistics II CM251X Discrete Mathematics 6CCM320a (CM320X) Topics in Mathematics CM330X Mathematics Education and Communication CM360X History and Development of Mathematics CS3DNL Data Extraction in Natural Language CS3CAR Computer Architecture CS3CMM Compression Methods for Multimedia CS3CIS Cryptography and Information Security CS3DDP Deductive Databases and Logic Programming CS3LOM Logical Modelling CS3SIA Software Engineering of Internet Applications CS3DSM Distributed Systems CS3SAD Software Architecture and Design CS3PR2 Computer Science Project
The responsibility for non-mathematics courses rests with the relevant department. They may make changes which are not reflected in this booklet, and you must consult their booklet and/or programme director for definitive information.
4 This course is not an option for students who have previously taken CM131A, Introduction to Dynamical Systems.
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Mathematics and Management BSc (UCAS code: GN12) Programme Director: Dr WJ Harvey As of September 2006, there is no first year on this programme, as it has now been replaced by G1N2. Second Year First semester Compulsory courses: 5CCM115b (CM115A) Numbers and Functions
Either CM221A Analysis I or 5CCM250a (CM2504) Applied Analytic Methods SMN217 Managerial Economics
Standard options: SMN221 Marketing Management SMN224 Financial Management
Second semester Compulsory courses: CM241X Probability and Statistics II 5CCM121b Introduction to Abstract Algebra Standard options: SMN215 Information Management SMN216 Law and Management SMN223 Human Resource Management SMN229 Management Accounting Third Year First semester Compulsory course: 6CCM354a (CM354X) Introduction to Optimisation Recommended option: 6CCM359a (CM359X) Numerical Methods Standard options: CM211A PDE’s & Complex Variable 6CCM320a (CM320X) Topics in Mathematics
CM357Y Introduction to Linear Systems with Control Theory5
CM451Z Neural Networks
Other Mathematics options may also be permitted, subject to timetable considerations and the approval of the Programme Director.
SMN313 Investment Management
SMN317 International Business
5 This is not an option for students who have previously taken CM131A.
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SMN323 Strategic Management SMN333 Business Law SMN345 Organisational Change SMN347 Business-to-business Marketing
Second semester Recommended option: CM338Z Financial Mathematics Standard options: CM251X Discrete Mathematics 6CCM320a (CM320X) Topics in Mathematics CM328X Logic CM330X Mathematics Education and Communication
CM360X History and Development of Mathematics
SMN338 Corporate Reporting SMN341 Management Control
SMN346 The Labour Market SMN349 International Financial Systems
The responsibility for non-mathematics courses rests with the relevant department. They may make changes which are not reflected in this booklet, and you must consult their booklet and/or programme director for definitive information.
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Mathematics and Physics BSc (UCAS code: FG31) Programme Director: Dr A Recknagel First Year First semester Core courses: 4CCM111a (CM111A) Calculus I
CM113A Linear Methods 4CCM115a (CM115A) Numbers and Functions *(Students must take either 4CCM115a or CM141A) CP1480 Fields and Waves
CP1490 Structure of Matter Second semester Core course: CM112A Calculus II CM141A Probability and Statistics I *(Students must take either CM141A or 4CCM115a) CP1400 Classical Mechanics and Special Relativity
CP144A Nuclear Physics Students should also attend the Physics laboratory classes and lectures associated with the course Laboratory Physics for Joint Honours Students (CP2120). (1st semester only in both 1st and 2nd Year). NOTE: In order to progress to the Second Year students must pass ALL Mathematics courses, either in the January and May/June examinations or following August re-sit examinations. Passes obtained in August re-sit examinations are capped at the pass mark. Second Year First semester Compulsory courses: CM211A PDEs and Complex Variable
CM231A Intermediate Dynamics Either
CM221A Analysis I or
5CCM250a (CM2504) Applied Analytic Methods CP2120 Laboratory Physics for Joint Honours Students CP2470 Principles of Thermal Physics
Second semester Compulsory courses: 5CCM121b Introduction to Abstract Algebra CP2201 Introductory Quantum Mechanics CP2380 Electromagnetism
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Students should also attend the Physics laboratory classes and lectures associated with the course Laboratory Physics for Joint Honours Students (CP2120). (1st semester only in both 1st and 2nd Year). Third Year Compulsory courses: First Semester CM331A Special Relativity & Electromagnetism CP3131 3rd Year Project in Physics Second Semester CP3131 3rd Year Project in Physics Standard options:
Students will take six of the following options, of which three will normally be Mathematics, subject to the approval of the Programme Director: First Semester CM321A Real Analysis II
CM322C Complex Analysis CM356Y Linear Systems with Control Theory
6CCM359a (CM359X) Numerical Methods CM436Z Quantum Mechanics II
CM451Z Neural Networks CP3241 Theoretical Particle Physics CP3380 Optics CP3402 Solid State Physics
Second Semester CM223A Geometry of Surfaces 6CCM232b (CM232A) Groups and Symmetries
CM251X Discrete Mathematics CM326Z Galois Theory
CM327Z Topology CM328X Logic
CM330X Mathematics Education and Communication CM334Z Space-time Geometry and General Relativity*
CP3212 Statistical Mechanics CP3221 Spectroscopy and Quantum Mechanics CP3630 General Relativity and Cosmology* *CP3630 General Relativity and Cosmology and CM334Z Space-time Geometry and General Relativity cannot be taken together. Other options available to 3rd year single honours students may be taken where the timetable allows, subject to approval by the Programme Director.
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The responsibility for non-mathematics courses rests with the relevant department. They may make changes which are not reflected in this booklet, and you must consult their booklet and/or programme director for definitive information.
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Mathematics and Physics MSci (UCAS code: FGH1) Programme Director: Dr A Recknagel First Year First semester Core courses: 4CCM111a (CM111A) Calculus I
CM113A Linear Methods 4CCM115a (CM115A) Numbers and Functions *(Students must take either 4CCM115a or CM141A)
CP1480 Fields and Waves CP1490 Structure of Matter
Second semester Core courses: CM112A Calculus II CM141A Probability and Statistics I *(Students must take either CM141A or 4CCM115a)
CP1400 Classical Mechanics and Special Relativity CP144A Nuclear Physics
NOTE: In order to progress to the Second Year students must pass ALL Mathematics courses, either in the January and May/June examinations or following August re-sit examinations. Passes obtained in August re-sit examinations are capped at the pass mark.
Second Year First semester Compulsory courses: CM211A PDEs and Complex Variable
CM231A Intermediate Dynamics Either
CM221A Analysis I or
5CCM250a (CM2504) Applied Analytic Methods CP2120 Laboratory Physics for Joint Honours Students CP2470 Principles of Thermal Physics
Second semester Compulsory courses: 5CCM121b Introduction to Abstract Algebra CP2201 Introductory Quantum Mechanics CP2380 Electromagnetism Students take either CM221A or CM2504; students reading for the MSci are strongly advised to take CM221A which is a prerequisite for many Third and Fourth Year courses.
Third Year Core course: CP3131 3rd Year Project in Physics
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Standard options: Students will take seven of the following options, of which four will normally be Mathematics, subject to agreement with the Programme Director: First Semester CM321A Real Analysis II CM322C Complex Analysis CM331A Special Relativity and Electromagnetism
CM356Y Linear Systems with Control Theory 6CCM359a (CM359X) Numerical Methods
CM436Z Quantum Mechanics II CM451Z Neural Networks CP3241 Theoretical Particle Physics
CP3380 Optics CP3402 Solid State Physics
Second Semester CM223A Geometry of Surfaces 6CCM232b (CM232A) Groups and Symmetries CM251X Discrete Mathematics
CM326Z Galois Theory CM327Z Topology CM328X Logic CM330X Mathematics Education and Communication
CM334Z Space-time Geometry and General Relativity* CP3212 Statistical Mechanics
CP3221 Spectroscopy and Quantum Mechanics CP3630 General Relativity and Cosmology* CP3650 Introductory Plasma Physics CPMP33 Medical Engineering CPMP36 Medical Imaging and Measurement *CP3630 General Relativity and Cosmology and CM334Z Space-time Geometry and General Relativity cannot be taken together. Other options available to 3rd year single honours students may be taken, where the timetable allows, subject to approval by the Programme Director. Fourth Year Core course: CM461C or CP4100 One-unit Project Standard options: First Semester 7CCMMS08 (CM414Z) Operator Theory
CM424Z Lie Groups and Lie Algebras CM436Z Quantum Mechanics II
CM437Z Manifolds 7CCMMS32 (CM438Z) Quantum Field Theory
CM451Z Neural Networks CM467Z Applied Probability and Stochastics
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7CCMMS05 (CMMS05) Basic Analysis
Second Semester CM330X Mathematics Education and Communication
CM418Z Fourier Analysis 7CCMMS38 (CM433Z) Advanced General Relativity CM435Z Point Particles and String Theory 7CCMMS40 (CM439Z) Introduction to Supersymmetry
Other options may be taken where the timetable allows, after discussion with the programme director. Students may also take courses at other colleges, subject to the approval of the Programme Director. In particular, the following courses are available at University College: O1C327 Real Analysis O1C365 Geometry of Numbers O1C371 Analytic Theory of Numbers The physics component consists of a choice of intercollegiate courses, a list of which can be found in the Physics Department’s Undergraduate Handbook. The responsibility for non-mathematics courses rests with the relevant department. They may make changes which are not reflected in this booklet, and you must consult their booklet and/or programme director for definitive information.
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Mathematics and Physics with Astrophysics BSc (UCAS code: FGJ1) Programme Director: Dr A Recknagel First Year First semester Core courses : 4CCM111a (CM111A) Calculus I
CM113A Linear Methods 4CCM115a (CM115A) Numbers and Functions *(Students must take either 4CCM115a or CM141A)
CP1480 Fields and Waves CP1490 Structure of Matter
Second semester Core courses: CM112A Calculus II CM141A Probability and Statistics I *(Students must take either CM141A or 4CCM115a)
CP1600 Classical Mechanics and Special Relativity CP144A Nuclear Physics
Students should also attend the Physics laboratory classes and lectures associated with the course Laboratory Physics for Joint Honours Students (CP2120). (1st semester only in both 1st and 2nd Year). NOTE: In order to progress to the Second Year students must pass ALL Mathematics courses, either in the January and May/June examinations or following August re-sit examinations. Passes obtained in August re-sit examinations are capped at the pass mark. Second Year First semester Compulsory courses: CM231A Intermediate Dynamics
Either CM221A Analysis I
or 5CCM250a (CM2504) Applied Analytic Methods
CP2120 Laboratory Physics for Joint Honours Students CP2470 Principles of Thermal Physics CP2621 Astrophysics
Second semester Compulsory courses: 5CCM121b Introduction to Abstract Algebra CP2201 Introductory Quantum Mechanics CP2380 Electromagnetism Third Year First Semester
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Core course: CP3131 3rd Year Project in Physics Standard options: CM321A Real Analysis II
CM322C Complex Analysis CM331A Special Relativity and Electromagnetism
CM436Z Quantum Mechanics II CM451Z Neural Networks Second semester Standard options: CM223A Geometry of Surfaces 6CCM232b (CM232A) Groups and Symmetries
CM326Z Galois Theory CM327Z Topology CM328X Logic CM330X Mathematics Education and Communication
CM334Z Space-time Geometry and General Relativity* CP3212 Statistical Mechanics CP3221 Spectroscopy and Quantum Mechanics CP3201 Mathematical Methods in Physics III CP3630 General Relativity and Cosmology* CP3650 Introductory Plasma Physics
*CP3630 General Relativity and Cosmology and CM334Z Space-time Geometry and General Relativity cannot be taken together. The responsibility for non-mathematics courses rests with the relevant department. They may make changes which are not reflected in this booklet, and you must consult their booklet and/or programme director for definitive information.
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French and Mathematics BA (UCAS code: RG11) Programme Director: Dr LJ Landau First Year First semester Core courses: 4CCM111a (CM111A) Calculus I CM113A Linear Methods Second semester Core courses: CM112A Calculus II CM141A Probability and Statistics I The French component is compulsory and will comprise AF/F120 Core Language (1.00 cu) and AF/F121 Introduction to French Literature (1.00 cu). Students must pass AF/F120 Core Language, including the written examination, in order to progress. NOTE: In order to progress to the Second Year students must pass ALL Mathematics courses, either in the January and May/June examinations or following August re-sit examinations. Passes obtained in August re-sit examinations are capped at the pass mark. Second Year First semester Compulsory courses: 5CCM115b (CM115A) Numbers and Functions
Either CM221A Analysis I
or 5CCM250a (CM2504) Applied Analytic Methods Standard option: CM211A PDEs and Complex Variable Second semester Compulsory course: 5CCM121b Introduction to Abstract Algebra Standard options: CM131A Introduction to Dynamical Systems
CM241X Probability and Statistics II CM251X Discrete Mathematics CM328X Logic CM360X History and Development of Mathematics
or any other Second Year Single-Honours optional course which is compatible with the timetable, subject to the approval of the Programme Director. The French course AF/F200 Core Language (0.5 cu) is compulsory and there is a choice of options to the value of 1.5 cu, as follows AF/F236 Translation into French (0.5 cu)*, AL/FRL1 French Linguistics (0.5 cu)*; in Semester 1: AF/F230 Medieval French Arthurian Romance (0.5 cu), AF/F206 Woman and Love in the Renaissance (0.5 cu), AF/F232
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Theatre and Representation in Seventeenth-century France (0.5 cu), AF/F210 Post-Romantic Poetry (0.5 cu ), AF/F233 Writing and Politics in the Twentieth Century: I (0.5 cu), AF/F242 Sartre: Biography and History (0.5 cu), AF/F228 Introduction to Francophone African Literatures (0.5 cu). In Semester 2: AF/F231 The Poetics of Violence in Medieval France (0.5 cu), AF/F208 Literature and Englightenment in the French 18th Century (0.5 cu), AF/F209 19th-Century Novelists (0.5 cu), AF/F241 Conflict and Crisis in Modern France 1918-1968 (0.5 cu), AF/F227 Twentieth-century French Women's Writing (0.5 cu), AF/F234 Writing and Politics in the Twentieth Century: II (0.5 cu), AF/F240 Topics in French Film 1. (0.5 cu). *Students classified as francophone may not take AF/F236 or AL/FRL1, nor may both be taken by any other student. Students must pass AF/F200 Core Language in order to progress. Third Year The third year is spent in France. Compulsory courses comprise: AF/Y021 Year Abroad Practical Language (1.0 cu), AF/Y024 Year Abroad Extension Course in Target Language (1 cu), AF/Y025 Year Abroad Written Language Course (1 cu). Fourth Year Students should choose four courses from the following list of Mathematical courses:
First Semester Standard options: 6CCM320a (CM320X) Topics in Mathematics
CM321A Real Analysis II CM322C Complex Analysis
CM331A Special Relativity and Electromagnetism CM332C Introductory Quantum Theory
6CCM354a (CM354X) Introduction to Optimisation CM356Y Linear Systems with Control Theory6 CM451Z Neural Networks Second Semester Standard options: CM326Z Galois Theory
CM327Z Topology CM330X Mathematics Education and Communication
CM334Z Space-time Geometry and General Relativity CM338Z Financial Mathematics or any other Third Year Single-Honours optional course which is compatible with the timetable, subject to the approval of the Programme Director. The French component comprises AF/F300 Core Language – final year (0.5 cu) which is compulsory and a choice to the value of 1.5 cu from the following courses AF/F332 The Stylistics of Translation (0.5 cu), AF/F336 Use of Spoken French*(0.5 cu), AF/F334 Citizenship and Exclusion (1 cu). In Semester 1: AF/F338 Medieval Occitan
6 This course is an option for students who have previously taken CM131A, Introduction to Dynamical Systems.
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Literature (0.5 cu), AF/F340 The City in the Literature of Seventeenth- and Eighteenth-century France (0.5 cu), AF/F349 Shadows of Enlightenment (0.5 cu), AF/F348 French Literature under the Second Empire (0.5 cu), AF/F317 Proust (0.5 cu), AF/F347 Contemporary Algerian Literature (0.5 cu), AF/F350 Topics in French Film II (0.5 cu), In Semester 2: AF/F339 The Debate about Women in the Middle Ages (0.5 cu), AF/F309 The Literary Perception of the honnete homme (0.5 cu), AF/F341 Gender and Discourse in Eighteenth-century France (0.5 cu), AF/F344 Contemporary Women’s Writing in French (0.5 cu), AF/F351 Troubling Desires (0.5 cu), AF/F320 Recent French Thought (0.5 cu), AF/F330 (0.5 cu) Dissertation may be offered in place of one of the options by students who may wish to go on to do research after their degree. *Only students who have not done year-abroad units in French may do AF/F336; it is not open to francophones.
The responsibility for non-mathematics courses rests with the relevant department. They may make changes which are not reflected in this booklet, and you must consult their booklet and/or programme director for definitive information. Students may also wish to consult the French Department website: www.kcl.ac.uk/french.
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Mathematics and Philosophy BA (UCAS code: GV15) Programme Director: Dr LJ Landau First Year First semester Core courses: 4CCM111a (CM111A) Calculus I CM113A Linear Methods
AN1141 Epistemology & Metaphysics (1.00 cu) AN1151 Ethics & Politics (1.00 cu)
Optional Course*: AN1010 Elementary Logic * Students are advised to attend the lectures for AN1010, and take the class examination. However, students must not register AN1010 as part of the total of 4.00 cu taken in the First Year for degree examination purposes. Lectures for AN1141 and AN1151, both 1.00 cu courses, continue in the Second Semester. Second semester Core courses: CM112A Calculus II
CM121A Abstract Algebra
NOTE: In order to progress to the Second Year students must pass ALL Mathematics courses, either in the January and May/June examinations or following August re-sit examinations. Passes obtained in August re-sit examinations are capped at the pass mark. Second Year
First Semester Compulsory courses: CM221A Analysis I
and either AN4040 Logic & Metaphysics (1.00 cu) or AN4060 Epistemology & Methodology (1.00 cu) and either AN4083 Greek Philosophy (1.00 cu) or AN1091 Modern Philosophy (1.00) The chosen Philosophy courses continue in the Second Semester. Note: AN4040, Logic and Metaphysics and AN1091, Modern Philosophy, is normally the better choice in view of timetable considerations, especially in the Second Semester.
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Standard options: 5CCM115b (CM115A) Numbers and Functions CM122A Geometry I CM211A PDEs and Complex Variable CM222A Linear Algebra CM231A Intermediate Dynamics
Second Semester The Philosophy courses chosen in Semester I continue throughout the Second Semester Standard options: CM131A Introduction to Dynamical Systems CM141A Probability and Statistics I CM223A Geometry of Surfaces 5CCM232a (CM232A) Groups and Symmetries CM241X Probability and Statistics II CM251X Discrete Mathematics CM328X Logic
CM360X History and Development of Mathematics Third Year Students must take CM328X (Logic) if not already taken in the Second Year. Students should choose three mathematics courses from the following if CM328X Logic is taken, four if it is not.
First Semester Compulsory course: AN4240 Philosophy of Mathematics (1.00 cu) Standard options: CM222A Linear Algebra
CM321A Real Analysis II CM322C Complex Analysis CM331A Special Relativity & Electromagnetism
CM332C Introductory Quantum Theory 6CCM359a (CM359X) Numerical Methods
and Philosophy courses chosen from the list below. Note that one-unit Philosophy courses are taught over both semesters. Second Semester AN4240 continues in the Second Semester. Compulsory course: CM328X Logic (if not taken in Year 2) Standard options: CM251X Discrete Mathematics CM326Z Galois Theory CM330X Mathematics Education and Communication CM334Z Space-time Geometry & General Relativity CM338Z Financial Mathematics
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6CCM354a (CM354X) Introduction to Optimisation CM356Y Linear Systems with Control Theory7 CM357Y Introduction to Linear Systems with Control
Theory8
and Philosophy courses chosen from the list below: AN4062 Ethics II AN4072 Politics II AN4092 History of Modern Philosophy II AN4100 Philosophy of Mind AN4110 Philosophy of Religion AN4130 Philosophy of Science AN4140 Aesthetics AN4170 Post-Aristotelian Philosophy AN4180 Mediaeval Philosophy AN4200 The Philosophy of Kant and other courses in Philosophy, subject to the approval of the relevant Programme Director in the Philosophy Department. The responsibility for non-mathematics courses rests with the relevant department. They may make changes which are not reflected in this booklet, and you must consult their booklet and/or programme director for definitive information.
7 This course is an option for students who have previously taken CM131A, Introduction to Dynamical Systems. 8 This is not an option for students who have previously taken CM131A.
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Change of Degree Course Students arrive at King's College having given much thought to their choice of course. Likewise, in admitting students to a particular course, the College goes to some considerable lengths to ensure that they are suitably qualified. There is, therefore, a high degree of commitment on both sides. However, we do realise that inclinations and interests sometimes change, and if you feel that you would be better suited to a different course you should not delay in seeking advice and finding out if a change is allowable. As a rule, note that changes of courses are the more difficult the more material you have missed from your new programme. In the Department of Mathematics, first year students in their first term should see the Admissions Tutor (Dr D Solomon). After the first term, the appropriate person is the Programme Director for the proposed course. Your personal tutor should in any case be consulted. A change of degree course requires written permission from all departments involved and is not automatic. Forms for this purpose are available from the School Office (Room 34B, Main Building), and a useful leaflet is available from Student Services. Where appropriate, the form will be signed on behalf of the Mathematics Department by the Senior Tutor, and should then be returned to the School Office. Similar arrangements apply to temporary interruption or permanent withdrawal. The School Office will inform your Local Education Authority about any change in your course of study, but you are also required to write to your LEA.
10. COURSE UNIT LISTING This part of the handbook gives a provisional list of half-unit courses, which may be modified before the session begins. Be reminded that you should always consult your Programme Director about prerequisites for the courses and your intended programme. Please remember that you may and should consult members of staff; this includes consultation by students who are not attending the particular staff member's course. The names of staff members willing to help with each course will be publicised on departmental notice boards and given on the information sheet for the course. At the start of each course, the lecturer will hand out a Course Information Sheet, which includes more detailed information about the course.
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4CCM111a (CM111A) Calculus I Lecturer: Professor PK Sollich Web page: via links from King's Maths home page Semester: First Teaching arrangements: Three hours of lectures each week, one tutorial per week, throughout the term; one hour of maple tutorial for half the term. Prerequisites: A-level mathematics Assessment: The course is assessed by three 30-minute class tests held at intervals during the First Semester, together with a two hour written examination in January; there are NO resit class tests. The class tests together contribute 50% towards the final mark and the written examination in January generates a further 50%; the overall pass mark is 40%. Since this course is introductory, the final mark does not contribute to the calculation of the honours 'indicator', although students MUST pass the course in order to progress to the second year. Assignments: Exercise sheets will be given out and questions set each week to be handed in the following week. These problems will be discussed in the tutorials and solutions will be available on the web. In addition there are maple exercises set which are not assessed but for which help will be available during the maple tutorials.
A full statement of the regulations for tests and assignments will be given out in lectures at the start of term. Aims and objectives: The aim of the course is to review and enhance aspects of pre-university mathematics in order to foster a genuine confidence and fluency in the material. This will help provide a firm grasp of basic ideas thus allowing concentration on the many new and often abstract concepts that will be introduced in various courses throughout the academic programme. Syllabus: Complex numbers; review of differentiation; trigonometric functions; the logarithm and exponential functions; integration; series; Taylor's theorem; limits; Use of Maple. Books. This course does not follow any particular book but comes with full and extensive lecture notes. There are, however, many books which you might find helpful for the course - to provide background, alternative explanations, and generally supplement the lectures.
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The typical US-style introductory Calculus book has in the order of 1000 pages, is rather heavy to carry around, and goes a long way beyond this course (and will not necessarily cover all the material either). Having said that, they can also be very well written and also useful for Calculus II next semester, and also possibly for Analysis I or Joint Honours Analysis. There are any number to choose from - not a bad example being Calculus (one and several variables), 8th edition, by Salas, Hille and Etgen, Wiley 1999. Less typical is: Maths - A Student's Survival Guide, Jenny Olive, CUP which is written in a very `chatty' style. It is intended for `science' students, rather than mathematics students, and so in parts it is rather basic, as well as missing out some of the more advanced topics, but it has well written sections on most of the material covered in this course. Finally, a book which might also prove useful is: Engineering Mathematics by K.A. Stroud, Palgrave 2001 Again this is not intended for mathematics students, but covers almost all the topics in the course in a very straightforward and clear way with many worked examples, and might prove useful if you find the other books too technical or need to see more examples. Maple: Maple is a very versatile and powerful computer package for performing mathematical calculations, from the simplest all the way to research level. As part of this course students must attend compulsory laboratory sessions designed to introduce them to aspects of Maple. The times of the various sessions will be displayed on the notice board. There will also be a test devoted to Maple.
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CM112A Calculus II Lecturer: Dr G M T Watts Web page: http://www.mth.kcl.ac.uk/courses/cm112a.html Semester: Second
Teaching arrangements: Three hours of lectures each week, together with a one-hour tutorial. Prerequisites: 4CCM111a (CM111A) Calculus I, or equivalent. Assessment: There are three assessments during the semester, which count for 20% of the final mark. The remaining 80% of the course marks are assessed by a two-hour written examination at the end of the academic year. Assignments: Assignments are set each week and must be completed by each student to a ‘satisfactory’ standard. These are monitored. Each work sheet is marked and returned to the student. Aims and objectives: The course aims to extend the methods of calculus of one variable to calculus for functions of many variables, that is, calculus on higher dimensional spaces. This involves concepts such as multiple integrals and partial derivatives, which enable us to make sense of the idea of length of a curve, area of a surface, and maxima and minima of functions of many variables. The final part of the course presents the great integral theorems: Green’s Theorem, Stokes’ theorem and the Divergence Theorem which form a cornerstone of mathematics. The course is taught via skeletal notes. Syllabus: Surface sketching, partial derivatives, multiple integrals, geometry of curves, vector fields, geometry of surfaces, maxima and minima, generalised derivatives, Stokes’ Theorem, the Divergence Theorem. Books: The Course Notes will be available at the start of the semester. There are many texts on this subject but you might take a look at the following. J.Marsden, A.Tromba, Vector Calculus (4th Edition) Salas and Hille, Calculus: one and several variables (6th Edition) McCallum et, al., Multivariable Calculus W.Cox, Vector Calculus
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CM113A Linear Methods Lecturer: Dr P Kassaei Web page: http://www.mth.kcl.ac.uk/courses/cm113a Semester: First Teaching arrangements: Three one-hour lectures each week. In addition, a one-hour tutorial each week (beginning Week 2) to discuss Homework exercises from the previous week. Pre-requisites: A-level Mathematics (algebra, trigonometry, geometry and calculus). Assessment: There are three tests during the semester, with the fourth one in January, all of which comprise 20% of the final mark. The remaining 80% of the course marks are assessed by a two-hour written examination at the end of the academic year. Assignments: There will be a weekly sheet of Homework exercises. You must attempt these to keep up with the course. Solutions are later posted on the web page. Aims and objectives: Linear algebra provides basic ideas and tools for much of the work we do in mathematics, particularly the aspects which concern geometry in 3D Euclidean space. The course introduces the general notion of linearity, a principle which illuminates wide areas of Mathematics. In pursuit of this, we cover a range of topics and provide a unifying framework for them. Syllabus: 1. Algebra and geometry of vectors in R2, R3 and Rn. Lines and planes, linear
independence and bases. 2. Matrices, systems of linear equations and linear maps, inverse matrices. 3. Determinants; the cross product for vectors in R3. 4. Eigenvalues & eigenvectors; similarity; complex matrices; canonical forms for rank 2
matrices. 5. Linear ordinary differential equations; solutions, principle of linearity, linear systems. Coursework: Homework exercises and occasional class tests. Course Notes: There is a set of lecture notes for this course, containing all the material to be covered in lectures. They will be available from the departmental office, price about £3. Other Reference Texts. In addition, many textbooks in the library cover some or all of the course, including: [1] H. Anton and C. Rorres, Elementary Linear Algebra with Applications (J.Wiley). [2] F. Ayres, Linear Algebra, Schaum Outline Series (McGraw-Hill). Many worked problems.
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4CCM115a Numbers and Functions Lecturer: Dr F A Rogers Web page: http://www.mth.kcl.ac.uk/courses/cm115a (or via links from the King’s web page) Semester: First Teaching arrangements: Three hours of lectures each week, together with a one-hour tutorial. Aims and objectives: To introduce the ideas and methods of university level pure mathematics. In particular, the course aims to show the need for proofs, to encourage logical arguments and to convey the power of abstract methods. This will be done by example and illustration within the context of a connected development of the following topics: integers, rational numbers, sequences, limits, continuity, iterative processes and maps. Brief outline of syllabus: Integers. Division Algorithm, number bases. Greatest common divisor, Euclid’s Algorithm. Measuring and expressing fractional quantities. Irrationals and the real number system: the notion of least upper bound. Methods of proof. Convergence: convergence criteria for sequences, standard limits, series. Continued Fractions. Solution of equations and continuity: Intermediate Value Theorem, Mean Value Theorem. Iteration and fixed points: contraction mappings. Assessment: There are three tests during the semester, and a fourth test in January, which count for 20% of the final mark. The remaining 80% of the course marks are assessed by a two-hour written examination at the end of the academic year. Assignments: Exercise sheets are handed out on a weekly basis and written answers must be given in by the due date. Course notes: Skeletal notes will be issued at the start of the course, which students will fill out during the lectures. Books: There is no set book for the course. However, there are a variety of books that are useful for certain sections of the course: D. M. Burton: “Elementary Number Theory”. K. Binmore: “Mathematical Analysis”, D. G. Stirling: “Mathematical Analysis and Proof”. J. P. D’Angelo and D. B. West “Mathematical Thinking: Problem Solving and Proofs”.
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5CCM115b (CM115A second year joint honours) Numbers and Functions Lecturer: Dr F A Rogers Web page: http://www.mth.kcl.ac.uk/courses/cm115a (or via links from the King’s web page) Semester: First Teaching arrangements: Three hours of lectures each week, together with a one-hour tutorial. Aims and objectives: To introduce the ideas of mathematical analysis, and the importance of rigorous argument. In particular, the course aims to teach students to develop mathematical arguments and express these correctly in words and symbols. This will be done by example and illustration within the context of a connected development of the following topics: integers, rational numbers, sequences, limits, continuity, iterative processes and maps. Brief outline of syllabus: Integers. Division Algorithm, number bases. Greatest common divisor, Euclid’s Algorithm. Measuring and expressing fractional quantities. Irrationals and the real number system: the notion of least upper bound. Methods of proof. Convergence: convergence criteria for sequences, standard limits, series. Continued Fractions. Solution of equations and continuity: Intermediate Value Theorem, Mean Value Theorem. Iteration and fixed points: contraction mappings. Assessment: The course is assessed by a two-hour written examination at the end of the academic year. Assignments: Exercise sheets are handed out on a weekly basis and written answers must be given in by the due date. Course notes Skeletal notes will be issued at the start of the course, which students will fill out during the lectures. Books: There is no set book for the course. However, there are a variety of books that are useful for certain sections of the course: D. M. Burton: “Elementary Number Theory”. K. Binmore: “Mathematical Analysis”. D. G. Stirling: “Mathematical Analysis and Proof”. J. P. D’Angelo and D. B. West “Mathematical Thinking: Problem Solving and Proofs”.
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Assignments: Exercise sheets are handed out on a weekly basis and written answers must be given in by the due date. Books: Skeletal notes will be issued as the course proceeds, which students will fill out during the lectures. There is no set book for the course. However, there are a variety of books that are useful for certain sections of the course. For example, for sections 1, 2 and 6, the following book may be helpful: D. M. Burton: “Elementary Number Theory”. On the other hand, for sections 3, 4, 5 and 7, the following books may well be useful: K. Binmore: “Mathematical Analysis”, D. G. Stirling: “Mathematical Analysis and Proof”. One book which may be useful for most of the course is: “Mathematical Thinking: Problem Solving and Proofs”, J. P. D’Angelo and D. B. West, Prentice Hall, 2000.
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CM121A Introduction to Abstract Algebra Lecturer: Professor F I Diamond
Semester: Second
Teaching arrangements: Three hours of lectures and a one-hour tutorial each week. E-mail discussion group: E-mail will be used as a medium for supplementing interactive aspects of the course, in particular for answering student queries and sharing (anonymously) the discussion with the whole class. Assessment: There are three tests during the semester, which count for 20% of the final mark. The remaining 80% of the course marks are assessed by a two-hour written examination at the end of the academic year. Assignments: Problem sheets are given out at the end of each week. All students are expected to hand in their work on these sheets the following week so that this can be marked, returned and discussed at the subsequent tutorial. Aims of the course: A general aim of the course is to help students in the transitions from concrete to abstract mathematical thinking and from a purely descriptive view of mathematics to one of definition and deduction. Specific aims are a better understanding of the algebraic structure of the integers and a working knowledge of the elementary theory of groups. Syllabus: Layout of mathematics text, language of logic, concept of proof. The integers: Principle of induction, Division Algorithm, greatest common divisor. Linear diophantine equations. Prime numbers, unique factorisation. Groups: Examples - roots of unity, rotations, symmetries, dihedral groups, matrices, permutations. Group axioms and elementary properties. The order of an element and the orders of its powers. Subgroups, cosets, Lagrange’s theorem. Cyclic groups, subgroups of cyclic groups. Functions: Injective, surjective, bijective. Composition, inverses, group of bijections X X→ . Homomorphisms of groups, kernel. Isomorphism, isomorphism classes of cyclic groups. Rings: Axioms, examples and elementary properties. Group of units of a ring, units of the ring Zn of residue classes of integers modulo n. Integral domains, fields. Homomorphism and isomorphism of rings. Congruences: Solution of linear congruences. Simultaneous linear congruences, Chinese Remainder Theorem. Properties of the Euler function. Theorems of Euler and Fermat. Polynomials: Degree. Euclidean Algorithm, greatest common divisor. Unique factorisation theorem for polynomials over a field. Number of zeros of a polynomial over a field. Polynomials over the rationals - Gauss’s lemma, Eisenstein’s criterion. Books: Teach yourself Mathematical Groups by Barnard & Neill, Hodder & Stoughton (1996), ISBN: 0-340-67012-6. A set of supplementary notes for the course is available from the Mathematics Office.
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CM122A Geometry I Lecturer: Dr J R Silvester Web page: http://www.mth.kcl.ac.uk/courses/cm122a.html (or via links from King’s Maths home page) Semester: First Teaching arrangements: Three hours of lectures each week, and one hour of tutorial. Prerequisites: 4CCM111a (CM111A), CM113A. Assessment: There are three tests during the semester, with the fourth one in January, all of which count for 20% of the final mark. The remaining 80% of the course marks are assessed by a two-hour written examination at the end of the academic year. Assignments: There will be weekly exercise sheets. Homework is compulsory, and will be collected each week, marked, and handed back (with printed solutions) at the tutorial. Exercise sheets and solutions sheets will also be placed on the web page, as the course proceeds. Aims and objectives: To build a store of geometric knowledge and techniques; to explore connections with other parts of mathematics; to learn to solve problems; and to learn to write clearly reasoned explanations and proofs. Syllabus: Topics selected from: constructions with ruler and compasses, up to the regular pentagon. The real plane, by coordinates, by vectors, and by complex numbers. Isometries and similarities, and their classification. Triangle theorems; barycentric coordinates; Ceva’s and Menelaus’ theorems. Groups of isometries; symmetry and rotation groups, and representations by permutations and by matrices. The five Platonic solids, and their symmetries and rotations. Conics: focus-directrix and focus-focus definitions. Plane sections of a cone are conics. Classification of conics under isometry and under similarity. Affine transformations. Book: J R Silvester, Geometry Ancient and Modern, Oxford 2001
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4CCM131A (CM131A) Introduction to Dynamical Systems Lecturer: Dr A Annibale Web page: http://www.mth.kcl.ac.uk/courses/cm131a.html (or via links from King's Maths home page) Semester: Second
Teaching arrangements: Three hours of lectures each week, and a weekly tutorial of one hour.
Prerequisites: Normally CM111A Calculus I, and CM113A Linear Methods
Assessment: There are three tests during the semester, which count for 20% of the final mark. The remaining 80% of the course marks are assessed by a two-hour written examination at the end of the academic year.
Assignments: Exercise sheets will be given out. Solutions handed in will be marked and difficulties discussed during tutorials and in class. Assignments are regarded as an essential element of the course as they provide the necessary opportunity for active training and for sharpening ideas about the material presented in the course.
Aims and objectives: The course aims to introduce students to the analysis of simple dynamical systems described in terms of first or second order differential equations, emphasising concepts such as phase flow, fixed points, and stability of fixed points. The ideas introduced have applications in biology and economics, as well as in Newtonian mechanics. Newtonian mechanics is taught with emphasis on motion in one spatial dimension, and in that case furnishes examples of so-called second order dynamical systems. Elements of the Hamiltonian approach to Newtonian mechanics are also introduced.
Syllabus: Differential equations; first-order dynamical systems, autonomous systems, phase flow and fixed points; second-order dynamical systems, phase flow, classification of fixed points; kinematics of particle motion, Newton's laws; conservation of energy, conservative forces, motion on a straight line; Hamiltonian systems; elements of Hamiltonian mechanics.
Books: (i) Introduction to dynamics, by I. Percival and D. Richards (Cambridge University Press), (ii) Differential equations, maps and chaotic behaviour, by D.K. Arrowsmith and C.M. Place (Chapman Hall), (iii) Mechanics, by P.C. Smith and R.C. Smith (Wiley), (iv) Differential Equations and Their Applications, by M. Braun (Springer)
Notes: A set of lecture notes will be available in the Department. These notes cover virtually all material of the course, but the course will not follow the notes strictly.
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CM141A Probability and Statistics I Lecturer: Dr L J Landau
Web page: http:/ http://www.mth.kcl.ac.uk/courses/cm141a.html (or via links from King’s Maths home page)
Semester: Second Teaching arrangements: Three hours of lectures each week, together with a one hour tutorial conducted each week by the lecturer. Prerequisites: There are no prerequisites for this course beyond a knowledge of elementary calculus; students who have not previously studied the subject should manage all right. The course is a prerequisite for more advanced probability and statistics courses, such as Probability and Statistics II. Assessment: The course is assessed by a two hour final examination at the end of the academic year, together with a 20% coursework contribution. The format of the final examination is as follows: The question paper also serves as the answer booklet You must write your answers in the spaces provided on the question paper. Rough work, which will not be marked, can be done on the reverse sides of the question paper, or in additional booklets. During the examination you will have access to the New Cambridge Statistical Tables and to a supplied calculator. (You cannot use your own.) If you wish to practice on the supplied calculator before the examination, there are some available in the Mathematics Department Office and on short loan from the library. Assignments: All students, regardless of degree or year of study, are expected to do the homework assignments. Homework should be submitted electronically, by going to the Online Homework Submission web page for 141A. You will be presented with your individual homework set. You may return to view the homework as often as you wish, but you may only submit your answers once. It is best to print out your questions, think about them, mark your answers on the printout, then go back and submit the answers. You will obtain an instant evaluation and correction when your work is submitted. (Once you submit your answers, you cannot go back and access your questions. So if you want a record of your homework questions, print before submission!) During the tutorial, the lecturer will go over the homework problems, emphasizing those questions which many students found difficult. You may also raise questions during this tutorial, after class, during the break in lectures, or during the lecturer's office hours. Aims and objectives: The aim of the course is to introduce the basic concepts and computations of probability theory as well as the statistical analysis of data and the main statistical tests.
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Syllabus: The laws of probability, Bayes' theorem, random variables, expectation value and standard deviation, joint distributions, combinatorial probability, approximations, descriptive statistics, hypothesis tests, confidence intervals, t-distribution Books: Printed notes are available for the student to purchase from the mathematics department. These notes are closely followed by the lecturer and each student is expected to have a copy. There is also a workbook available for purchase from the department which consists of many worked examples. Past exam papers may be found on the course website. One highly recommended inexpensive collection of tables which you will find useful in this course and which is supplied during the examination (you cannot use your own copy) is D.V.Lindley and W.F.Scott, New Cambridge Statistical Tables, Second Edition (Cambridge University Press).
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CM211A Partial Differential Equations and Complex Variable Lecturer: Dr S G Scott Web page: http://www.mth.kcl.ac.uk/courses Semester: First Teaching arrangements: Three hours of lectures each week, together with a one- hour tutorial class. Prerequisites: A thorough knowledge of CM112A, Calculus II. It will be helpful to attend CM221A (Analysis I), possibly concurrently, or to have attended CM2504 (Applied Analytic Methods), but neither of these is essential. Assessment: The course will be assessed by a two hour written examination at the end of the academic year. Assignments: Exercises will be given out on a weekly basis, starting in the first week of the course; it is essential that you make a serious attempt to do these. Solutions handed in will be marked and difficulties discussed in the tutorial class. In addition, it is essential that students work through the lectures as the course progresses. Aims and Objectives: This course will introduce you to the theory of functions of a complex variable, one of the most beautiful branches of pure mathematics, but it will be taught in a manner that enables you to savour its delights without becoming too embroiled in the abstractions that a more rigorous exposition would entail. Nevertheless, a student who has mastered this course will be in a strong position to appreciate the subtleties of a rigorous course on Complex Analysis such as CM322C. The course also aims to introduce you to linear Partial Differential Equations, the link with the complex variable part of the course being the two-dimensional Laplace equation. This course contains a wealth of material that finds applications throughout pure and applied mathematics and if you work hard at it, you will reap a rich harvest in terms of the knowledge and skills that you will acquire. Syllabus: Complex Variable Revision of complex numbers. Basic definitions: open sets, domain, curves, trace of a curve ⎯ the emphasis being on an intuitive understanding, without formal proofs. Definitions of continuity, differentiability, analyticity. Cauchy-Riemann equations. Integration along a smooth curve; integration along a contour; Cauchy’s theorem. Cauchy’s integral formula, Laurent’s theorem, Taylor’s theorem. Calculus of residues. Contour integration.
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Partial Differential Equations Basic ideas: linear equations, homogeneous equations, superposition principle. Laplace’s equation in two variables, simple boundary value problems. Separation of variables. Fourier series. Introduction to Fourier transforms with applications. Books: The course will be self-contained and there are no required texts. Many books serve to give further information on the topics covered. The following are a few suggestions: H C Rae, Partial Differential Equations and Complex Variable (KCL Mathematics Department Lecture Notes) M R Spiegel, Complex Variables (Schaum) H F Weinberger, Partial Differential Equations with Complex Variables and Transform Methods (Dover 1995) G Stephenson, Partial Differential Equations for Scientists & Engineers 3rd edition (Longman)
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CM221A Analysis I Lecturer: Professor E B Davies
Web page: http://www.mth.kcl.ac.uk/courses/cm221a.html or via links from King’s Maths home page Semester: First Teaching arrangements: Three hours of lectures each week, together with a one hour tutorial. Prerequisites: CM115A Numbers and Functions (or equivalent background). Assessment: There will be three class tests during the course, each of which will carry 5% of the final grade. The remainder of the assessment will depend upon a final examination of the usual type. These tests will be of a straightforward character, and the dates will be announced in advance. There will be no duplicate class tests for absentees. Students who miss class tests without good reason will get zero marks. Students who miss class tests for good reason (e.g. can supply doctors’ certificates) will be given an appropriately higher weighting for the final examination. Assignments: Exercises will be set and marked weekly and the performance of each student will be recorded for later reference. Students must realise that for successful progress in the course, the coursework has to be done regularly, as it is handed out. Aims and objectives: Real Analysis is one of the core subjects in every reputable Mathematics degree programme. It enables us to explain why results require proof and that statements are only true in a context of some precise technical conditions. It also provides the knowledge needed to make sense of a variety of other topics in the syllabus, such as complex analysis, dynamical systems and differential equations, all of which have immense importance within the subject. It is expected that students will understand and be able to reproduce the proofs of the major theorems of the subject. They should also appreciate the logical relationships between the different parts of the subject and be able to use the ideas of the course in a variety of straightforward situations. Finally they should learn how important it is to avoid fallacious arguments involving infinite processes. Syllabus: The course builds upon the material in CM115A, Numbers and Functions, which you are expected to know. It emphasises the difference between school level calculus and a rigorous treatment of the same topics. The material starts with definitions of limits of sequences and series, and simple criteria for convergence, with many examples of the kind you should learn how to handle. This part of the course includes the Cauchy criterion, absolute convergence of series and a study of power series.
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Real variable theorems include definitions of continuity and differentiation with proofs of well established theorems for functions of a single real variable up to Taylor's theorem. Properties of an elementary integral in one space dimension will be studied briefly, starting from a list of axioms for the integral. Proofs will be given of the fundamental theorem of calculus and of the rules for evaluating integrals.
Books: You are advised to acquire and use one of the following books : K G Binmore: Mathematical Analysis, a straightforward approach, Cambridge University Press. R Haggarty: Fundamentals of Mathematical Analysis. Addison Wesley. David S. Stirling : Mathematical Analysis and Proof, Albion. Most of the course material is very standard, so there are very many other books that you may find useful. Here is a small selection (all available in the library) :
V. Bryant: Yet another introduction to Analysis J C Burkill: A first course in Mathematical Analysis C W Clark: Elementary Mathematical Analysis J.A. Fridy : Introductory Analysis M. Hart: Guide to Analysis D.B. Scott and S.R. Tims : Mathematical Analysis – an introduction Not all the books adopt the same approach to integration and some notes will be distributed on this topic.
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CM222A Linear Algebra Lecturer: Professor D J Burns
Web page: http://www.mth.kcl.ac.uk/courses/cm222a.html (or via links from King’s Maths home page)
Semester: First
Teaching arrangements: Three hours of lectures plus a 1hr. tutorial each week.
Prerequisites: CM113A or similar course giving familiarity with basic vectors and matrices in Rn (especially R2 and R3); CM121A or some course containing abstract algebraic ideas.
Assessment: A 2hr. written examination at the end of the academic year will count for 85% of total mark. In addition there will be 3 class tests during the semester, time-tabled separately from the lectures (each counting for 5% of the total mark).
Assignments: Regular exercise work is essential for success in this course. Exercises will be set and marked weekly and the performance of each student will be recorded for later reference.
Aims and objectives: This course sets concepts from the ‘methods' course CM113A (e.g. determinant and dimension) in the more general framework of abstract vector spaces. It also gives the precise definitions and proofs that are essential for much of higher mathematics, both pure and applied. Further concepts and methods are also introduced in the same manner. Examples from Rn and Cn will be given where possible to illustrate the geometrical meaning behind the algebraic ideas. The course will emphasize the interplay between abstract and more concrete ideas.
Syllabus: General definition and properties of vector spaces, subspaces and linear maps. Linear independence, basis and dimension. Rank and nullity for linear maps. The relation between linear maps and matrices. Change of basis and similarity of matrices. Inverse matrices. Eigenvectors, eigenvalues and diagonalisation of matrices. Inner product spaces and orthogonal diagonalisation.
Books: The course will not follow one particular textbook. There is a vast array of books on linear algebra that contain the material of the course (often also covering the preliminary material from linear methods). Here is a small sample, listed in roughly increasing order of sophistication:
1. ‘Elementary Linear Algebra’, Howard Anton, 8th ed., Wiley, 2000. 2 ‘Linear Algebra with Applications', W. Keith Nicholson, 3rd ed. PWS 1995. 3 ‘Linear Algebra', RBJT Allenby, Edward Arnold Modular Mathematics, 1995. 4 ‘Elementary Linear Algebra' W. Keith Nicholson,1st ed., McGraw-Hill, 2001. 5. ‘Basic Linear Algebra’ T.S. Blyth and E.F. Robertson, Springer 1998. 6. ‘Linear Algebra’ S. Lang, Addison-Wesley, 1966. 7. ‘Introduction to Linear Algebra’ Thomas A. Whitelaw, Blackie 1991. 8. ‘Linear Algebra’ A. Mary Tropper, Nelson 1969.
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CM223A Geometry of Surfaces Lecturer: Professor A N Pressley Web page: Follow links from King’s Maths home page Semester: Second Teaching arrangements: Three hours of lectures each week, together with a one-hour tutorial Prerequisites: 4CCM111a (CM111A) Calculus I, CM112A Calculus II, CM113A Linear Methods Assessment: The course will be assessed by a two-hour written examination at the end of the academic year
Assignments: Exercise sheets will be given out each week. Solutions handed in will be marked and difficulties discussed in the tutorial. Aims and objectives: This course will apply the methods of calculus to the geometry of curves and surfaces in three-dimensional space. The most important idea is that of the curvature of a curve or a surface. The course should prepare you for more advanced courses in geometry, as well as courses in mathematical physics such as relativity. Syllabus: Definition of a curve, arc length, curvature and torsion of a curve, Frenet-Serret equations. Definition of a surface patch, first fundamental form, isometries, conformal maps, area of a surface. Second fundamental form of a surface, gaussian, mean and principal curvatures. Gauss map. Theorema Egregium. Geodesics. Gauss-Bonnet theorem. Books: A. Pressley, Elementary Differential Geometry, Springer, 2001 (the most suitable book) M. P. Do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, 1976 (more advanced) A Gray, Modern Differential Geometry of Curves and Surfaces, CRC Press, 1993 (lots of nice pictures)
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CM224X Elementary Number Theory Lecturer: Dr M Breuning Web page: http://www.mth.kcl.ac.uk/courses/cm224x.html Semester: Second Teaching arrangements: Three hours of lectures and a one-hour tutorial each week. Prerequisites: CM121A or CM2501. Assessment: The course will be assessed by a two-hour written examination at the end of the academic year. Assignments: Problem sheets will be given out every week. Solutions handed in will be marked and difficulties discussed in the tutorials. Aims and objectives: The aim of the course is to further develop algebraic techniques met in CM121A, ‘Introduction to Abstract Algebra’, via a more systematic study of the algebraic structure of the rational integers. By introducing several new concepts in this concrete setting, the course aims to bring students to the point at which more demanding courses in number theory and algebra are attractive. Syllabus: Review of Euclidean Algorithm, greatest common divisor, linear congruences and residues; prime numbers, unique factorisation; Chinese Remainder Theorem. Review of groups, Lagrange’s Theorem, rings, finite fields. Euler’s φ-function, primitive roots; higher order congruences. Quadratic residues, Legendre Symbol, Euler’s Criterion, Gauss’s Lemma, Quadratic Reciprocity Law; quadratic congruences for composite moduli. Sums of two squares, sums of four squares. Some Diophantine equations, in particular Pell’s equation. Irrational numbers, algebraic numbers, transcendental numbers. Books: A set of lecture notes will be available. In addition, the following books may be useful: D. M. Burton, Elementary Number Theory, McGraw-Hill Education, 5th ed., 2001. J. H. Silverman, A Friendly Introduction to Number Theory, Prentice Hall, 3rd ed., 2005. G. A. Jones and J. M. Jones, Elementary Number Theory, Springer, 1998.
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CM231A Intermediate Dynamics Lecturer: Dr LJ Landau
Web page: http://www.mth.kcl.ac.uk/courses/cm231a.html (or via links from King's Maths home page)
Semester: First
Teaching arrangements: Three hours of lectures plus a one-hour tutorial each week.
Prerequisites: Normally CM131A (Introduction to Dynamical Systems).
Assessment: 10% coursework (see below); 10% class test after reading week; 80% two-hour written examination at the end of the academic year.
Assignments: Problem sheets will be handed out each week and discussed in the following week's tutorial. Serious attempts at doing the problems are essential to get through the course. Each problem sheet contains one coursework problem. For this, written solutions are to be handed in. These will be marked and returned for feedback; the coursework mark is calculated from the best six hand-ins.
Aims and objectives: This course aims to develop the formal aspects of mechanics and to give applications to simple systems. Newtonian mechanics is reviewed and extended (to three dimensions, and systems of particles) to build intuition about important concepts such as conservation of energy, momentum and angular momentum. The Lagrangian formulation of mechanics reveals the deep connection between these conservation laws and symmetries, and introduces the idea of a variational principle; it also provides a useful toolkit for studying systems with constraints. Finally, Hamiltonian mechanics introduces concepts such as phase space and Poisson brackets which lay the foundation for quantum and statistical mechanics and the study of chaos.
Syllabus: Newtonian mechanics: Newton's equations in three dimensions; angular momentum; conservation laws; central forces, systems of particles. Lagrangian mechanics: Lagrange's equations, constrained systems, variational principle, symmetries and conservation laws. Hamiltonian mechanics: Hamilton's equations, Poisson brackets, canonical transformations, symmetries and conservation laws. Applications: Small oscillations etc.
Books: Classical Mechanics, Tai L Chow, John Wiley 1995 covers most of the material. For parts of the course, the following can also be useful: Schaum's outline of theory and problems of theoretical mechanics, Murray R Spiegel, McGraw-Hill, 1980. Schaum's outline of theory and problems of Lagrangian dynamics, Dare A Wells, McGraw-Hill 1967. Introduction to Analytical Dynamics, N M J Woodhouse, Oxford University Press 1987 Classical Mechanics, T W B Kibble and F H Berkshire, Addison Wesley Longman 1996 More advanced books are: Classical Mechanics, Herbert Goldstein, Charles Poole, John Safko, Addison-Wesley 2001 (3rd ed; 2nd ed by Herbert Goldstein, 1980) Classical Mechanics, Walter Greiner, Springer 2003
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5CCM232a / 6CCM232b (CM232A) Groups and Symmetries Lecturer: Professor G Papadopoulos Web page: http://www.mth.kcl.ac.uk/courses/ (or via links from King’s Mathematics Dept. home page) Semester: Second Teaching arrangements: Three hours a week and one hour tutorials, two tutorial groups Assessment: The course will be assessed by a two-hour written examination at the end of the academic year. Assignment: Weekly homework will be given out. Solutions handed in will be marked. Difficulties with the material will be explained during the tutorials. The solutions to the tutorial questions and homework will be posted on the internet about a week after distribution of the problems. Aims and objectives: To provide an understanding of group theory and its applications in geometry and theoretical physics. Syllabus: General group theory: Definitions of a group, cyclic groups, coset spaces, conjugacy classes, normal subgroups, quotient groups, dihedral groups, isomorphism theorems, group of automorphisms. Classical groups: GL(n,R), U(n), SU(n), 0(n), S0(n) and the various relations between them; centres of classical groups; 0(n) = Z2 x S0(n), n odd; scalar product and 0(n), U(n); parametrization of S0(2) and S0(3), rotations in R2 and R3; S0(3) = SU(2)/Z2; Euclidean group, Lorentz group. Lattice groups; lattices, lattice translations and rotations; crystallographic restriction; two-dimensional lattice symmetry groups. Books: J F Humphreys: A course in Group Theory, Oxford Science Publications C Isham: Lectures on Groups and Vector Spaces for Physicists, World Scientific E Wigner: Group Theory, Academic Press
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CM241X Probability and Statistics II
Lecturer: Professor P T Saunders
Web page: http://www.mth.kcl.ac.uk/courses/cm241x.html Semester: Second Teaching arrangements: Three lectures and one tutorial per week Prerequisites: CM141A Probability and Statistics I Assessment: One two-hour examination in May Assignments: Exercise sheets will be handed out weekly and work handed in within a week will be marked and returned to the student. Solutions will be posted on the web and any remaining difficulties can be discussed in the tutorial. Aims and objectives: This course should make you familiar with the standard techniques of elementary statistics and, by introducing such fundamental concepts as hypothesis testing, estimation and analysis of variance, prepare you for further study in both theoretical and practical statistics. Syllabus: Bivariate probability, continuous densities, generating functions. The exponential densities, including normal, t-, χ2 and F. Simple parametric and nonparametric tests. Further topics include the consistency, efficiency and sufficiency of estimates, maximum likelihood estimation; the central limit theorem, the Neyman-Pearson lemma and the likelihood ratio test; regression, analysis of variance. Books: Berry & Lindgren: Statistics – Theory and Methods (2nd edition), Duxbury; Larson & Marx: An Introduction to Mathematical Statistics and its Applications (3rd edition) Prentice Hall; Hogg & Tanis: Probability and Statistical Inference (6th edition) Prentice Hall. (Almost any text that includes a proof of the Neyman-Pearson Lemma is likely to include the right material at the right level.) Notes: Not provided, as there are many books that cover the material.
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5CCM250a (CM2504) Applied Analytic Methods Lecturer: Dr E Shargorodsky
Web page: http://www.mth.kcl.ac.uk/courses/cm2504 (or via links from King’s Maths home page) Semester: First Teaching arrangements: Three hours of lectures each week, together with a one-hour tutorial. Prerequisites: CM112A Calculus II and CM115A Numbers and Functions. Assessment: There will be three class tests during the semester, each counting for 5% of the final grade, and a two hour written examination at the end of the academic year, counting for 85% of the final grade. There will be no duplicate class tests for absentees. Students who miss class tests without good reason will get zero marks. Students who miss class tests for good reason (e.g. can supply doctors’ certificates) will be given an appropriately higher weighting for the final examination. Assignments: Exercise sheets will be given out. Solutions handed in will be marked and difficulties discussed in the tutorials. In addition, it is essential that students work through the theory as the course progresses. Aims and objectives: This course will introduce you to various mathematical problems that can be solved by analytical means. The goal is to demonstrate in an explicit and non-abstract way the importance of Analysis and the need to justify formal methods and arguments. The course should prepare you for applying analytical methods to `real world’ problems. Syllabus: About five topics will be selected from the following list: 1) evaluation of integrals from known results by differentiation under the integral, including some work on improper integrals; 2) Laplace transforms; 3) solution of ordinary differential equations by power series; 4) Fourier series – possibly used to solve the one-dimensional wave equation; 5) rudimentary calculus of variations; 6) generating functions; 7) Green’s functions for ordinary differential equations with two point boundary conditions; 8) the Dirichlet problem in the unit disc; 9) other topics at a similar level. Books: The course will be self-contained and there are no required texts. Many books serve to give further information on the topics covered. A few suggestions are given below.
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1. W. Ledermann, Integral calculus, Library of Mathematics. London: Routledge and Kegan Paul, 1964. 2. V.I. Smirnov, A course of higher mathematics. Vol. II: Advanced calculus, International Series of Monographs in Pure and Applied Mathematics. Oxford-London-Edinburgh: Pergamon Press, 1964. 3. C.H. Edwards and D.E. Penney, Differential equations and boundary value problems, Pearson Education, 2004. 4. R.K. Nagle, E.B. Saff, and A.D. Snider, Fundamentals of differential equations and boundary value problems, Pearson Education, 2004. 5. I.N. Sneddon, Fourier series, Library of Mathematics. London: Routledge and Kegan Paul, 1961. 6. G.P. Tolstov, Fourier series, New York: Dover Publications, 1976. 7. I.M. Gelfand and S.V. Fomin, Calculus of variations, Mineola, NY: Dover Publications, 2000. 8. D.I.A. Cohen, Basic techniques of combinatorial theory, New York- Chichester-Brisbane: John Wiley & Sons, 1978. 9. N. Biggs, Discrete mathematics, Oxford Science Publications, New York: The Clarendon Press, Oxford University Press, 1989.
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CM251X Discrete Mathematics Lecturer: Mr S Fairthorne Web page: http://www.mth.kcl.ac.uk/courses/cm251X (or via links from King’s Mathematics home page Semester: Second Teaching arrangements: Three hours of lectures each week, together with a one hour tutorial. Prerequisites: Although originally designed for joint-honours Mathematics-Computer Science students, the course is also suitable for other second year single and third year joint-honours students. There are no formal prerequisites. Pre-knowledge is minimal - a little linear algebra helps. Any tools needed will be presented in the course, which can be taken by Computer Science students who have a reasonable pass in CS1MC1 or CS1FC1 and permission from their course advisor. Assessment: The course will be assessed by a two-hour written examination at the end of the academic year. Assignments: Weekly problems are set which are for learning not assessment. In previous years there has been a strong correlation between attempting the weekly problems and passing / doing well in the exam. Aims and objectives: To give students an understanding of the nature of an algorithmic solution to problems, to illustrate the idea by applications to problems in discrete mathematics and to promote an algorithmic viewpoint in subsequent mathematical work. Syllabus: Elementary properties of Integers. Functions and their behaviour. Introduction to Recursion. Algorithms and complexity. Graphs including Euler’s Theorem, shortest path algorithm and vertex colouring. Trees - applications include problem solving and spanning trees. Directed Graphs including networks. Dynamic programming. Codes and Cyphers - with Hamming codes and RSA. Books. The course was designed as a combination of useful and interesting (hopefully both) topics and so is not based on any particular book. Books you may like to look at are (do not buy but use for background reading): Introduction to Graph Theory, Robin J Wilson Discrete Mathematics and Its Applications, Kenneth H Rosen Discrete and Combinatorial Mathematics, Ralph P Grimaldi Elementary number theory and its Applications, K H Rosen (for RSA) Notes: All the problems, solutions and prepared material shown on the OHP (with two exceptions) will appear on the course web page and can be downloaded. The web page will be updated weekly and will carry any news or announcements.
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6CCM320a (CM320X) Topics in Mathematics This course will consist of four ‘mini-courses’ of 10-12 hours duration, and will thus enable students to gain a satisfactory understanding of the key concepts and applications of a selection of important topics in both pure and applicable mathematics. Students need only attend any selection of THREE of these four mini-courses. Web page: http://www.mth.kcl.ac.uk/courses/cm320x.html (or via links from King's Maths home page) Semester: First and Second Teaching arrangements: Two hours of lectures per week Assessment: This is solely by means of a single two-hour examination at the end of the academic year, consisting of one selection for each of the mini-courses. Each of the four selections will have equal weight and students may answer questions from any selection of at most three of the sections. The mini-courses which will be offered this year are listed below. In each case, there are few pre-requisites beyond the material which is covered in the relevant core courses from the first and second year.
Game Theory Lecturer: Professor A N Pressley Prerequisites: Linear methods Assignments: Exercise sheet handed out each week. Solutions will be provided. Aims and objectives: The course aims to give an introduction to the theory of two-person zero-sum games. It should enable you to go on to more advanced topics involving linear programming, as well as applications in the theory of financial markets and economics. Syllabus: Two-person zero sum games, game trees, pure strategies, mixed strategies, optimal strategies, minimax theorems, Shapley-Snow algorithm. Books: Most books are either too advanced or depend on knowledge of other fields such as economics. I have prepared a set of printed notes to accompany the course which are available from the departmental office.
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Markov Chains Lecturer: Professor E B Davies Prerequisites: CM113A Linear methods, 4CCM111a (CM111A) Calculus I and
CM112A Calculus II, CM141A Probability and Statistics Assignments: Problems will be set each week. Aims and objectives: The course aims to introduce the basic concepts of finite-state, discrete-time Markov chains and to illustrate these with applications to a range of problems such as random walks and simple statistical mechanical models. Outline Syllabus: Definition of Markov chains, forward and backward equations, positive matrices, ergodicity, stationary states, Perron-Frobenius theorem. Random walks with absorbing and reflective boundaries. Interacting walkers, detailed balance, Boltzmann distributions. Possible extensions: Reaction-diffusion systems, kinetic constraints. Books: G R Grimmett and D R Stirzaker, Probability and Random Processes, OUP, 3rd edition, 2001. W Feller, An Introduction to Probability Theory and Its Applications, Wiley, 3rd edition, 1968. Notes: To be confirmed; skeletal lecture notes may be made available.
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Introduction to Information Theory
Lecturer: Dr R. Kühn
Web page: http:/www.mth.kcl.ac.uk/courses/cm320x.html (or via links from King's Maths home page) Prerequisites: Mainly 4CCM111a (CM111A) Calculus I, 4CCM112a (CM112A) Calculus II, 4CCM141a (CM141A) Probability and Statistics
Assignments: Problem sheets will be made available via the course web page.
Aims and objectives: The course aims to give an introduction to concepts and methods for quantifying information, and analysing the transmission of informaion and various forms of information processing, including coding and data analysis
Syllabus: The concept of information; introduction to Shannon's information theory: definitions and properties, with proofs, of the main tools for quantifying information, e.g. Shannon entropy, relative entropy, conditional entropy, differential entropy, mutual information; coding theory. Books: TM Cover and JA Thomas, `Elements of Information Theory', Wiley 1991 Notes: A set of self-contained lecture notes prepared by ACC Coolen will be available at the departmental office.
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CM321A Real Analysis II Lecturer: Dr S G Scott Web page: http://www.mth.kcl.ac.uk/~ysafarov/Lectures/CM321A/ (or via links from King’s Maths home page) Semester: First Teaching arrangements: Two hours of lectures each week and 3-4 informal tutorials during the revision week and the last week of the term. Prerequisites: CM221A Assessment: The courses will be assessed by two hour written examinations at the end of the academic year. Assignments: Exercise sheets will be given out. Aims and objectives: The main aims of the course are: (i) to extend your knowledge and appreciation of analysis to a wider range of situations and introduce you to the important concepts that are applicable in these more general cases; (ii) to establish the central results on continuity in this more general context; (iii) to demonstrate some applications of the theory to other parts of mathematics. Syllabus: Metrics and norms. Open and closed sets. Continuity. Bounded linear maps. Cauchy sequences. Completeness. Absolutely convergent series in complete normed spaces. Contraction mapping theorem. Connectedness and path connectedness. Totally disconnected metric spaces. Compactness. Compact and sequentially compact sets. Uniformly continuous functions. Stone--Weierstrass theorem. Integration (rigorous definition via uniform approximation by step functions). Integrals depending on a parameter. Picard's existence theorem for first order differential equations. Books: The following books contain a substantial portion of the course: J.C. & H. Burkill, A second course in mathematical analysis W.A. Light, An introduction to abstract analysis W.A. Sutherland, Introduction to metric and topological spaces A. Kolmogorov & S. Fomin, Introductory real analysis Notes: 2http://www.mth.kcl.ac.uk/~ysafarov/Lectures/CM321A/
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CM322C Complex Analysis Lecturer: Dr W J Harvey
Web page: http://www.mth.kcl.ac.uk/courses/cm322c (or via links from King’s Maths home page)
Semester: First Teaching arrangements: Three hours of lectures each week.
Prerequisites: CM211A and CM221A
Assessment: The course will be assessed by a two hour written examination at the end of the academic year. 10% of coursework component will be based on work set during the course.
Assignments: Exercise sheets will be given out. Solutions handed in will be marked. In addition, it is essential that students work through the theory as the course progresses.
Aims and objectives: This course will provide a detailed introduction to complex function theory which interrelates the geometric and analytic aspects. A principal goal is Cauchy’s famous integral theorem and its many intriguing consequences.
Syllabus: Includes, Möbius transformations, analytic functions, Cauchy-Riemann equations, complex trigonometric and exponential functions, complex logarithm, contour integration, Cauchy’s Theorem, Cauchy’s Integral Formulae, Taylor series, Identity Theorem, Liouville’s Theorem, Laurent Expansion, singularities, residues, winding number, Cauchy’s Residue Theorem, Argument Principle, Maximum Modulus Principle.
Books: Books covering most of the course are I. Stewart & D. Tall, Complex Analysis, Cambridge 1993 J. Bak & D. Newman, Complex Analysis, Springer, 1997 H A Priestley, Introduction to Complex Analysis, OUP 2003
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CM326Z Galois Theory
Lecturer: Professor D J Burns Web page: http://www.mth.kcl.ac.uk/courses-05-06/cm326z.html (or via links from King's Maths home page)
Semester: Second
Teaching arrangements: Three hours of lectures each week plus occasional one-hour tutorials that will be announced in advance.
Prerequisites: CM222A (or CM113A with some extra preparation) and CM121A (or CM2501 with some extra preparation).
Assessment: By a two-hour written examination at the end of the academic year.
Assignments: Exercise sheets will be distributed in lectures. Solutions handed in the following week will be marked and returned. Solution sheets will be handed out. Particular points will be discussed in the occasional tutorials.
Aims and objectives: To develop the theory of finite extensions of fields, culminating in an understanding of the Galois Correspondence. To demonstrate the power of this theory by applying it to the solution of historically significant questions. For instance: for which polynomials can all the roots be written as `radical expressions' (i.e. expressions involving the usual operations of arithmetic together with roots of any degree)? To provide an important tool for further studies in Algebra e.g. Number Theory.
Syllabus: Review of the basic theory of rings, polynomials and fields; Eisenstein's Criterion; first properties of finite extensions of fields and their degrees; algebraicity and transcendence; field embeddings and automorphisms; normal extensions; separable extensions; the Galois Correspondence; examples of practical calculation; soluble groups and extensions; (in)solubility of polynomial equations by radical expressions. Further topics may include finite fields, constructibility by straightedge and compass, etc. as time allows.
Books: The two following are highly recommended:
(1) I. Stewart, `Galois Theory ', Chapman and Hall: 2nd ed. 1989, 3rd ed. 2004.
(2) J. Rotman, `Galois Theory ', Universitext, Springer, 2nd ed. 1998. The course most closely follows the level and order of exposition of the 2nd edition of (1). (The 3rd, expanded, edition starts at too elementary a level but contains interesting extra detail). Rotman's book (2) lacks some of the colour and historical detail of (1). On the other hand, it has useful sections on groups and rings. Further background material on groups may be found in:
(3) T. Barnard and H. Neill,`Teach Yourself Mathematical Groups', Hodder and Stoughton, 1996.
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CM327Z Topology Lecturer: Dr W J Harvey Web page: http://www.mth.kcl.ac.uk/courses/cm327z.html
Semester: Second
Teaching arrangements: Three hours of lectures each week, together with a weekly tutorial.
Prerequisites: CM321A Real Analysis II, or equivalent. However, it may in some circumstances be waived if there is a will to read up on this material.
Assessment: The course will be assessed by a 10% course work component and the remaining 90% on a two hour written examination at the end of the academic year
Assignments: Exercises are set each week. Solutions handed in will be marked. Resulting ideas and difficulties will discussed in class and in the tutorials. In addition, it is essential that students work through the theory as the course progresses. Aims and objectives: The aims of the course are to introduce the basic notions of general topology and algebraic topology. The concepts of homology and homotopy will be introduced and methods developed for computing the resulting topological invariants. In particular, we prove a general topological classification theorem for surfaces.
Syllabus: Topological spaces, compactness and connectedness, identification spaces (surfaces and real projective space as identification spaces), homology groups, Euler number, classification theorem for compact surfaces, homotopy groups and the winding number, computation for surfaces and projective space. Fixed point theorems. Books: M.A.Armstrong: Basic Topology, Springer, 1990. D.W.Blackett: Elementary Topology, Academic Press, 1982. S.Carlson: Topology of surfaces, Knots, and Manifolds, Wiley, 2001. N.D.Gilbert and T.Porter: Knots and Surfaces, OUP, 1994. W.S.Sutherland, Introduction to Metric and Topological Spaces, OUP, 1988.
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CM328X Logic Lecturer: Prof D Makinson Web page: http:/ http://www.mth.kcl.ac.uk/courses/cm328x.html (or via links from King’s Maths home page)
Semester: Second
Teaching arrangements: Three hours of lectures each week, together with a one hour tutorial conducted each week by the lecturer.
Prerequisites: There are no prerequisites for this course beyond a certain degree of mathematical maturity.
Assessment: The course is assessed by a two hour final examination at the end of the academic year. The question paper also serves as the answer booklet You must write your answers in the spaces provided on the question paper. Rough work, which will not be marked, can be done on the reverse sides of the question paper, or in additional booklets. During the examination you will have access to a supplied calculator. (You cannot use your own.) If you wish to practice on the supplied calculator before the examination, there are some available in the Mathematics Department Office and on short loan from the library.
Assignments: Homework should be submitted electronically, by going to the Online Homework Submission web page for 328X. You will be presented with your individual homework set. You may return to view the homework as often as you wish, but you may only submit your answers once. It is best to print out your questions, think about them, mark your answers on the printout, then go back and submit the answers. You will obtain an instant evaluation and correction when your work is submitted. (Once you submit your answers, you cannot go back and access your questions. So if you want a record of your homework questions, print before submission!) During the tutorial, the lecturer will go over the homework problems, emphasizing those questions which many students found difficult. You may also raise questions during this tutorial, after class, during the break in lectures, or during the lecturer's office hours.
Aims and objectives: The aim of the course is to introduce the basic ideas of mathematical logic.
Syllabus: Propositional Calculus, Predicate Calculus, Proof and Truth, Mathematical Systems, Gödel's theorem, Undecidability and Incompleteness.
Books. Printed notes are available for the student to purchase from the mathematics department. These notes are closely followed by the lecturer and each student is expected to have a copy. Past exam papers may be found on the course webpage.
Notes: This course is not difficult, but in order to be successful the student MUST attend the lectures, read the printed notes, look at the worked exercises at the end of each chapter, and conscientiously attempt the online homework each week.
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6CCM330a (CM330X) Mathematics Education and Communication Lecturer: Dr J R Silvester Semester: Second Important note: If you wish to take this course then you must inform Dr Silvester in writing by the end of September: send an email to [email protected] with the subject "CM330X: registration request". (Your email will be acknowledged; if it is not, contact Dr Silvester directly.) Numbers are limited, and selection will be by means of a short interview in early October. You will be told what to prepare for the interview. You should also decide which alternative course you will take in case your application to join CM330X is unsuccessful. Short Description: This module provides an opportunity for final year students to gain first hand experience of mathematics education, through a mentoring scheme with mathematics teachers in local schools. Each student will work with the same class for half a day every week throughout the Spring Term (Second Semester). Students will be selected for their commitment and suitability for working in schools, and will be given a range of responsibilities from classroom assistance to self-originated special projects. Aims: To help the student gain confidence in communicating their subject and develop strong organisational and interpersonal skills that will be of benefit to them in employment and in life. To enable the student to understand how to address the needs of individuals and devise and develop mathematics projects and teaching methods appropriate to engage the relevant age group they are working with. To allow the student to act as an enthusiastic role model for pupils interested in mathematics and to offer them a positive experience of working with pupils and teachers. Training and basic skills: The student will be given an initial introduction to relevant elements of the National Mathematics Curriculum and its associated terminology. They will receive basic training in working with children and conduct in the school environment, and will be given a chance to visit the school they will be working in before commencement of the module.
Classroom observation and assistance: Initial contact with the teacher and pupils will be as a classroom assistant, watching how the teacher handles the class, observing the level of mathematics taught and the structure of the lesson, and offering practical support to the teacher. Teaching assistance: The teacher will assign the student with actual teaching tasks, which will vary dependant on specific needs. This could include offering problem-solving coaching to a smaller group of higher ability pupils, or taking the last ten minutes of the lesson for the whole class. The student will have to demonstrate an understanding of how the level of mathematics knowledge of the pupils they are teaching fits in to their overall learning context in other subjects. The teacher will offer guidance to the student during their weekly interaction,
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and through feedback and liaison with the Departmental Course Coordinator will individually determine the level of responsibility and special projects given to the student.
Special projects: The student will devise a special project on the basis of their own assessment of what will interest the particular pupils they are working with. The student will have to show that they can analyse a specific teaching problem and devise and prepare appropriately targeted teaching materials (plans for coverage of topic items, integrating structured activities for pupils, and basic ‘tests’).
Written reports: The student will keep a journal of their own progress in working in the classroom environment, and they will be asked to prepare a written report on the special projects they have run, with an assessment of how well they worked and what they would change to improve them. Assessment Methods: Student’s end of course report (40%); teacher’s end of course report including assessment of student’s planning and delivery of special projects (40%); student’s oral presentation (20%).
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CM331A Special Relativity and Electromagnetism Lecturer: Dr A Recknagel Web page: http://www.mth.kcl.ac.uk/courses/cm331a.html Semester: First Teaching arrangements: Three hours of lectures per week (in the first semester); some lectures can be used as tutorials and question sessions. Prerequisites: Linear methods and vector calculus; Newtonian mechanics; elements of groups and symmetries. An interest for physical applications of mathematics helps. Assignments: There will be weekly assignments which all students should complete as far as possible. Solutions will be distributed the week after. Assessment: The course will be assessed by an examination in the summer examination period. Aims and objectives: The first part of the course aims at understanding electromagnetism, both in its unified description in terms of Maxwell's equations and at the level of simple phenomena from electrostatics, magnetostatics and wave propagation. The aim of the second part is to give an introduction to Einstein's concept of space-time and to discuss Lorentz transformations and their far-reaching consequences. Syllabus: Electric and magnetic fields; charge; Lorentz force. Maxwell's equations (in various forms). Electrostatics; magnetostatics; wave equation. Inertial frames, Newtonian space and time, Galilei transformations. Propagation of light and principle of relativity. Derivation of Lorentz transformations. Consequences: simultaneity, time dilation, length contraction, etc. Lorentz group; three- and four-vectors and -tensors. Relativistic mechanics: energy and momentum, E=mc2. Relativistic formulation of electrodynamics. Books, course material: Typed course notes, problem sheets and past exam papers are available on the course homepage. In addition, the following textbooks may be useful: J.D. Jackson, Classical Electrodynamics W. Rindler, Essential Relativity R. Feynman, Lectures on Physics, vols. I and II
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CM332C Introductory Quantum Theory
Lecturer: Dr I Runkel Web Page: http://www.mth.kcl.ac.uk/courses/cm332c.html (or via links from King’s Maths home page) Semester: First Teaching Arrangements: Two hours of lectures and one of tutorials each week. Prerequisites: Normally CM231A Intermediate Dynamics, CM222A Linear Algebra and CM211A Partial Differential Equations and Complex Variable. Assessment: The course will be assessed by a two-hour written examination at the end of the academic year. Aims and Objectives: This course provides a self-contained introduction to the theory of quantum mechanics, describing the basic formalism, where states are vectors in an infinite-dimensional space and observables such as position and momentum are operators on this space, and considers the dynamics of various simple quantum systems. It is shown how two of the key features of quantum mechanics - Heisenberg's uncertainty principle and the surprising discreteness of certain quantities - flow naturally from the formalism. Syllabus: The course starts with a historical account of the problems with classical physics which led to the development of quantum physics. The remainder of the course includes a development of the basic formalism of quantum mechanics and its probabilistic interpretation, examples of simple systems, the particular case of a particle in one dimension in a variety of potentials, the Dirac delta function, Heisenberg's and Schroedinger's equations of motion and the relationship between these two approaches, a derivation of Heisenberg's uncertainty principle for two observables which do not commute and a discussion of symmetry. Books: E Merzbacher: Quantum Mechanics, Wiley (1970) A Messiah: Quantum Mechanics (Vol 1+2 combined), Dover (1999) Course Materials: Skeletal course notes, tutorial exercises and solutions can be downloaded from the web page. Note: The tutorials for this course are regarded as essential elements of the course. Problems studied/discussed at the tutorials will be regarded as examinable material.
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CM334Z Space-Time Geometry and General Relativity Lecturer: Dr G M T Watts
Web page: via links from King's Maths home page
Semester: Second Teaching arrangements: Two hours of lectures each week, and one hour a week of mixed lecture/tutorial. Prerequisites: There are no formal prerequisites, but the course develops material encountered in ‘Geometry of Surfaces’ (CM223A) and "Special Relativity and Electromagnetism" (CM331A) Assessment: The courses will be assessed by a two hour written examination at the end of the academic year. Assignments: There will be five or six sets of exercises for the course, which will be handed out in class. I shall set a selection of questions from these exercises each week, to be covered in class the following week. These exercises and problems classes form an integral part of the course, and some of the examinable material will only be covered in the exercises and problems classes. Aims and objectives: The aim of the course is to show how the concept of a four-dimensional manifold provides an appropriate model for space-time, with the geometric notions of metric and curvature leading to Einstein's general theory of relativity, a geometric theory of gravity. The course develops differential geometry to include tensor calculus and covariant differentiation, as well as solutions to Einstein's field equations. Course outline: Equivalence principle, and the implications of formulating physics with no preferred inertial frames. Introduction to geometry; Embedded surfaces; Lengths of curves and geodesics, parallel transport. Tensors, particularly metric tensor; Covariant differentiation and the Riemann curvature; parallel transport and geodesics. The Bianchi identities & the Einstein tensor. Equivalence principle and local Lorentz frames. Metric for static/stationary fields as motivation for General Relativity. The Einstein field equations. Schwarzschild solution. Topics from: horizon, black holes and gravitational collapse, planar orbits, perihelion precession, deflection of light. Introduction to cosmology. Topics from: Robertson Walker metric, pseudo Newtonian theory, Friedmann models and other simple models. Books: The following books may prove useful. The lectures will follow material in Hughston & Tod. L.P. Hughston and K.P. Tod, An introduction to general relativity, CUP, 1990 R. D'Inverno, Introducing Einstein's Relativity, OUP, 1992 M. Berry, Principles of Cosmology and Gravitation, CUP, 1976 Notes: It is not possible to take the examinations in both this course and the physics course CP3630, General Relativity and Cosmology.
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CM338Z Financial Mathematics Lecturer: Dr I Buckley Web page: http://www.mth.kcl.ac.uk/courses/cm338z.html Semester: Second Teaching arrangements: Two hours of lectures and one of tutorial weekly. Prerequisites: CM141A (essential) 211A and 241X (advisable). Assessment: One 2 hour examination in May/June. Assignments: Exercise sheets will be given out regularly. In addition, it is essential that students work through the theory as the course progresses. Aims and objectives: An introductory but challenging course on the use of stochastic methods in modern finance. The problem is how to price derivatives and currency options. Some terms used in the financial market are explained. For example, a “risk free” investment is one that increases in value at the bank rate. An “investor” is someone with money who is prepared to invest, but who expects an average return greater than the bank-rate, in return for some risk; how much greater is called the risk premium. The dealer’s job is to eliminate his own risk by “hedging”. This is what determines the prices, assuming that we know the workings of the market. The most successful model is the “log-normal” or Black-Scholes-Merton model. The main tool used is the Ito calculus. This, and martingales, stochastic differential equations, and their relation to the heat equation, make up the body of the course. There is also an extended development of the so-called binomial model. Syllabus: Financial terminology, the binomial model, stochastic processes, Brownian motion, martingales, Ito calculus, stochastic differential equations, Black-Scholes-Merton model Books: A set of printed notes is available for students following this course
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6CCM354a (CM354X) Introduction to Optimisation
Lecturer: Dr AB Pushnitski Web Page: http://www.mth.kcl.ac.uk/courses/cm354x.html Email: mailto:[email protected] Semester: First Teaching arrangements: Two hours of lectures each week, together with a one-hour tutorial. Prerequisites: CM113A or equivalent – that is an elementary course in matrices, vectors, linear equations. 4CCM111a (CM111A) and CM112A Assessment: The course will be assessed by a two-hour written examination at the end of the academic year. Assignments: Exercise sheets will be made available regularly during the course. Solutions handed in will be marked, and the problems will be discussed in the tutorials. Aims and objectives: The aim of this course is to introduce the student to some basic ideas and techniques of optimisation. Syllabus: 1. Unconstrained optimisation. Optimisation with constraints: equality constraints, inequality constraints. Linear programming. Books: J.N. Franklin, Methods of Mathematical Economics D M Greig, Optimisation Lecture notes available online: P.E.Frandsen, K.Jonasson, H.B.Nielsen, O.Tingleff, Unconstrained Optimization K. Madsen, H.B. Nielsen, O. Tingleff, Optimization with Constraints H.B. Nielsen, Algorithms for Linear Optimization - an Introduction
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CM356Y Linear Systems with Control Theory Lecturer: Dr D A Lavis Web page: www.mth.kcl.ac.uk/courses/cm356y Semester: First Teaching arrangements: This course is taught for three hours per week during the second semester. Course notes and the weekly assignments are posted on the web page. One of the contact hours is used to discuss the assignments after which solutions are posted on the web page. Prerequisites: Undergraduate students taking this course must have taken CM131A Introduction to Dynamical Systems. (This restriction does not apply to postgraduate students who may take CM356Y as an allowed undergraduate course.) Assessment: The course is assessed by the sessional examination. Assignments: Weekly assignments are set. Aims and objectives: To develop the theory of the use of Laplace transforms for the solution of linear differential equations and to apply this knowledge to linear control theory. Syllabus: 1) Laplace transforms and Z transforms. 2) Transfer functions and feedback. 3) Controllability and observability. 4) Stability: the Routh-Hurwitz criterion. 5) Optimal control: Euler-Lagrange equations. 6) The Hamiltonian-Pontryagin method, bounded control functions and Pontryagin's principle; bang-bang control, switching curves. 7) Complex variable methods: the Nyquist criterion. 8) A brief introduction to non-linear systems. Books: S. Barnett and R. G. Cameron, Introduction to Mathematical Control Theory, O.U.P. (1985). (If you can get hold of a copy – it is now out of print.) Otherwise: O. L. R. Jacobs, Introduction to Control Theory, O.U.P. (1993).
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CM357Y Introduction to Linear Systems with Control Theory Lecturer: Dr D A Lavis Web page: www.mth.kcl.ac.uk/courses/cm357y Semester: First
Teaching arrangements: This course is taught for three hours per week during the second semester. Course notes and the weekly assignments are posted on the web page. One of the contact hours is used to discuss the assignments after which solutions are posted on the web page. Prerequisites: Undergraduate students taking this course must not have taken CM131A Introduction to Dynamical Systems. (Those who have should take CM356Y.) The only postgraduates permitted to take this course are diploma students. Assessment: The course is assessed by the sessional examination. Assignments: Weekly assignments are set. Aims and objectives: To develop the theory of the use of Laplace transforms for the solution of linear differential equations and to apply this knowledge to linear control theory. Syllabus: 1) Linear differential equations: integrating factors and the D-operator method. 2) Systems of linear differential equations: autonomous systems, bifurcations and the stability of equilibrium points. 3) Linearization of non-linear systems. 4) Laplace transforms and Z transforms. 5) Transfer functions and feedback. 6) Controllability and observability. 7) Stability: the Routh-Hurwitz criterion. 8) Optimal control: Euler-Lagrange equations. Books: S. Barnett and R. G. Cameron, Introduction to Mathematical Control Theory, O.U.P. (1985). (If you can get hold of a copy – it is now out of print.) Otherwise: O. L. R. Jacobs Introduction to Control Theory, O.U.P. (1993).
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6CCM359a (CM359X) Numerical Methods Lecturer: Dr J R Silvester Web page: http://www.mth.kcl.ac.uk/courses/cm359x.html (or via links from King’s Maths home page) Semester: First Teaching arrangements: Three hours of lectures each week. In each of the first two weeks there will also be a one-hour computer laboratory session. Prerequisites: Basic theory of polynomials, linear equations and matrices, calculus, intermediate value theorem, mean value theorem, Taylor’s theorem with remainder. First year course in Maple. (No previous knowledge of Excel is assumed.) Assessment: One 45-minute practical (computer based) Excel test near the end of the semester, which counts for 20% of the final mark. The remaining 80% of the course marks are assessed by a two-hour written examination at the end of the academic year. Assignments: Exercise sheets will be handed out weekly. For the first two weeks, homework must be submitted electronically (as email attachment). After that, work will not be collected, but solution sheets will be handed out and selected solutions covered in lectures. Exercise sheets and solutions sheets will also be placed on the web page, as the course proceeds. Aims and objectives: To learn the theory and practice of numerical problem solving; to learn to use Excel spreadsheets, and Maple. Syllabus: Solution of non-linear equations. Approximation of functions by polynomials. Numerical differentiation and integration. Numerical solution of ordinary differential equations, and systems of linear equations. Rates of convergence, and errors. The algorithms developed will be implemented in Excel spreadsheets or in Maple. Books: R Burden & J Faires, Numerical Methods (3ed), Brooks-Cole 2003 D Kincaid & W Cheney, Numerical Analysis (3ed), Brooks-Cole 2002 R Burden & J Faires, Numerical Analysis (7ed), Brooks-Cole 2001 E Joseph Billo, Excel for Scientists and Engineers: Numerical Methods, Wiley 2007
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CM360X History and Development of Mathematics Lecturer: Dr L Hodgkin Web page: http://www.mth.kcl.ac.uk/courses/cm360x.html Semester: Second Teaching arrangements: 2 hours of lectures per week. Prerequisites: none. Assessment: One assessed essay, 2000-2500 words (25% of credit). Two hour written examination (75% of credit). Assignments: Beyond the assessed essay, there are no set assignments. Aims and Objectives: This course aims to make you familiar with the broad outlines of the history of mathematics; to show how to interpret past mathematical writings, and how to construct a historical argument. Syllabus: Ancient mathematics; the Greeks; the Islamic world; medieval and Renaissance mathematics; the scientific revolution; the invention of the calculus; non-euclidean geometry; the rigorous approach and problems of foundations; the twentieth century. Books: The History of Mathematics --- A Reader, eds J Fauvel and J Gray, (Open University, 1987) (basic reference text, choice of readings) plus a choice of the following surveys: A History of Mathematics --- An Introduction, V J Katz (Addison-Wesley, 1998) A Concise History of Mathematics, D Struik (Dover, 1987) The History of Mathematics --- An Introduction, D M Burton (McGraw Hill, 1997) The Fontana History of the Mathematical Sciences, I Grattan-Guinness (Fontana 1997) A History of Mathematics, C Boyer and U Merzbach (Wiley, 1989) A Contextual History of Mathematics, R Calinger (Prentice-Hall, 1999) There will also be notes for the course on sale at the beginning of the semester.
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7CCMMS08 (CM414Z) Operator Theory Lecturer: Dr E Shargorodsky
Web page: http://www.mth.kcl.ac.uk/courses/cmms08/414Z.htm (or via links from King’s Maths home page) Semester: First Teaching arrangements: Two hours of lectures each week, together with a half hour informal tutorial. Prerequisites: CM321A and CM222A or equivalents (that is, a course in analysis using normed spaces and a course in linear algebra). Assessment: The course will be assessed by a two hour written examination at the end of the academic year. Assignments: Exercise sheets will be given out. Solutions handed in will be marked and difficulties discussed in class. In addition, it is essential that students work through the theory as the course progresses. Aims and objectives: This course will introduce you to the terminology, notation and the basic results and concepts of Banach and Hilbert spaces. The goal is to establish one major theoretical result (the spectral theorem for compact self-adjoint operators) and demonstrate some applications. The relation of the subject with other branches of mathematics (Fourier analysis, complex functions, differential equations) will be indicated. This course should prepare you for reading the literature of a wide variety of subjects in which Hilbert space ideas are used. Syllabus: Elementary properties of Hilbert and Banach spaces. Orthonormal bases. Fourier expansions. Riesz representation theorem. The adjoint. Orthogonal projections. Spectral theory of bounded linear operators. The spectral theorem for compact self-adjoint operators. Applications to differential and integral equations. Further topics as time permits chosen from: the spectral theorem for bounded selfadjoint operators; comments on unbounded operators and applications; Fredholm operators. Books: The course will be self-contained and there are no required texts. The following books are suitable for the course: 1. E. Kreyszig, Introductory Functional Analysis with Applications. Wiley. 2. B. Bollobas, Linear Analysis. Cambridge University Press. 3. H.G. Heuser, Functional Analysis. Wiley. 4. A.N. Kolmogorov and S.V. Fomin, Elements of the Theory of Functions and Functional Analysis. Vol. 1 Graylock, Vol. 2 Academic Press. Supplementary book list: 5. W. Rudin, Functional Analysis. Mc Graw-Hill Book Company. 6. M. Schechter, Principles of Functional Analysis. Academic Press. 7. G.K. Pedersen, Analysis Now. Springer-Verlag.
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CM418Z Fourier Analysis Lecturer: Professor E B Davies Web page: http://www.mth.kcl.ac.uk/~ysafarov/Lectures/Fourier/ (or via links from King’s Maths home page) Semester: Second Teaching arrangements: Two hours of lectures each week
Prerequisites: CM221A and CM321A or a similar analysis course using normed spaces. Assessment: The courses will be assessed by two hour written examinations at the end of the academic year. Assignments: Exercise sheets will be given out. Aims and objectives: The purpose of the course is to introduce the notions of Fourier series and Fourier transform and to study their basic properties. The main part of the course will be devoted to one dimensional case in order to simplify the definitions and proofs. Many multidimensional results are obtained in the same manner, and those results will also be stated. The Fourier technique is applied in various fields, in particular, in the theory of (partial) differential equations. It will be explained how one can solve differential equations and study the properties of their solutions using this technique.
Syllabus: Series expansions. Definition of Fourier series. Related expansions. Bessel's inequality. Pointwise and uniform convergence of Fourier series. Periodic solutions of differential equations. The vibrating string. Convolution equations. Mean square convergence. Schwartz space S. Fourier transform in S. Inverse Fourier transform. Parseval's formula. Sobolev spaces. Solutions of differential equations with constant coefficients. Books: A book covering most of the course is: H. Dym and P. McKean, Fourier series and integrals, Academic Press, 1972.
Notes: http://www.mth.kcl.ac.uk/~ysafarov/Lectures/Fourier/
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CM424Z Lie Groups and Lie Algebras Lecturer: Dr I Runkel Web page: Follow links from King’s Maths home page Semester: First Teaching arrangements: Two hours of lectures per week
Prerequisites: Basic knowledge of vector spaces, matrices, groups, real analysis Assessment: One two-hour written examination at the end of the academic year Assignments: Exercise sheet handed out each week. Solutions will be provided. Aims and objectives: This course gives an introduction to the theory of Lie groups, Lie algebras and their representations. Lie groups are essentially groups consisting of matrices satisfying certain conditions (e.g. that the matrices should be invertible, or unitary, or orthogonal). They arise in many parts of mathematics and physics. One of the beauties of the subject is the way that methods from many different areas of mathematics (algebra, geometry, analysis) are all brought in at the same time. The course should enable you to go on to further topics in group theory, differential geometry, string theory and other areas.
Syllabus: Examples of Lie groups and Lie algebras in physics. Matrix Lie groups, matrix Lie algebras, the exponential map, BCH formula. Abstract Lie algebras, examples: sl(2), sl(3), Poincare algebra. Representations of Lie algebras, sub-representations, Schur's Lemma, tensor products. Cartan-Weyl basis, classification of simple Lie algebras (without proof). Books: There is no book that covers all the material in the same way as the course, but the following may be useful: J. Fuchs, C. Schweigert, Symmetries, Lie algebras and representations, CUP 1997 H. Jones, Groups, Representations and Physics, IoP, 1998 A. Baker, Matrix groups, Springer, 2002
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7CCMMS38 (CM433Z) Advanced General Relativity Lecturer: Dr N Lambert Web page: http://www.mth.kcl.ac.uk/courses Semester: Second Teaching arrangements: Two hours of lectures each week Prerequisites: Students should be familiar with Special Relativity, Classical Lagrangian mechanics and ideally had some previous introduction to General Relativity.
Assessment: The course will be assessed by a two hour written examination at the end of the academic year.
Assignments: During the lectures problems will be given. Students are strongly recommended to hand in these problems for marking. Complete solutions will be provided and will be discussed in the lectures.
Aims and objectives: This course aims to provide an account of General Relativity that can be used as a basis for understanding the current research in this as well as related areas of theoretical physics.
Syllabus: An elementary introduction to manifolds and their tensor fields. Metrics, the Riemann and Ricci tensors, covariant derivatives and geodesics. Einstein's field equations, the weak field limit and tidal forces and Lagrangian formulation. Black hole solutions and causal structure. De Sitter, Anti-de Sitter and FRW spacetimes and their modern applications.
Reading List: The lecture notes taken during the lectures are the main source. However, some of the material is covered in: R. Wald, General Relativity, University of Chicago Press.
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CM435Z Point Particles and String Theory
Lecturer: Dr N Lambert Web page: http://www.mth.kcl.ac.uk/courses Semester: Second Teaching Arrangements: Two hours of lectures each week Prerequisites: The course assumes that the students have an understanding of special relativity and quantum field theory. In addition the student should be familiar with General Relativity, or be taking the Advanced General Relativity course concurrently. Assessment: The course will be assessed by a two-hour written examination at the end of the academic year. Assignments: Exercise sheets and solutions will be given out. Solutions handed in will be marked and discussed in class. It is essential that students work through the theory as the course progresses. Aims and Objectives: The main aim of the course is to give a first introduction to string theory which can be used as a basis for undertaking research in this and related subjects. Syllabus: Topics will include the following: classical and quantum dynamics of the point particle, classical and quantum dynamics of strings in spacetime, D-branes, the spacetime effective action, and compactification of higher dimensions. Reading List: The lecture notes taken during the lectures are the main source. However, some of the material is covered in: Green, Schwarz and Witten: String Theory 1, Cambridge University Press. B. Zwiebach: A First Course in String Theory, Cambridge University Press.
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CM436Z Quantum Mechanics II Lecturer: Dr A Recknagel Web page: http://www.mth.kcl.ac.uk/courses/cm436z.html Semester: First Teaching arrangements: Two or three hours of lectures per week; some lectures can be used as tutorials and question sessions. Prerequisites: Introductory quantum theory (as offered by the Maths or the Physics Department), some understanding of special relativity, groups and symmetries, and of Newtonian mechanics. Assignments: There will be weekly assignments which all students should complete as far as possible. Solutions will be distributed the week after. Assessment: The course will be assessed by an examination in the summer examination period. Aims and objectives: The course deals with selected chapters from quantum mechanics, building upon the notions introduced in introductory courses on quantum theory. Apart from discussing fundamental examples like the hydrogen atom and new phenomena like spin, the course also provides concepts and mathematical tools useful in more advanced areas like quantum field theory. Syllabus: Main topics will include bound states of the Hydrogen atom; angular momentum, spin, representations of SU(2); symmetries in quantum mechanics; relativistic quantum mechanics (Dirac equation); perturbative methods. Additional topics may include scattering states in central force problems; Feynman path integrals. Books, course material: Copies of lecture notes will be distributed to the students, along with problem sheets and solutions. Useful books are: B.H. Bransden, C.J. Joachain, Quantum Mechanics L.I. Schiff, Quantum Mechanics E. Merzbacher, Quantum Mechanics K. Hannabuss, An Introduction to Quantum Theory R. Feynman, Lectures on Physics, vol. III
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CM437Z Manifolds Lecturers: Dr F A Rogers Web page: http://www.mth.kcl.ac.uk/courses/cm437z.html Semester: First Teaching arrangements: Two hours of lectures each week. Prerequisites: Ideally CM211A, CM321A, CM222A and CM327Z, but a knowledge of multivariable calculus and basic linear algebra, together with a will to read up some topology and any other missing background, should be sufficient. Assessment: The course will be assessed by a two hour written examination at the end of the academic year. Assignments: Exercises will be set as the course proceeds. Solutions handed in will be marked and difficulties discussed in class and on an individual basis. Aims and objectives: This course aims to provide an introduction to differential geometry and topology, both for students whose interests lie in pure mathematics and also those interested in applied mathematics, in particular theoretical physics. The key concepts are differential manifolds, tensor calculus and differential forms. Applications to topology and theoretical physics will be discussed as time permits. Syllabus: Definition and examples of differential manifolds. Functions on and between manifolds. Tangent and co-Tangent bundles, vector and tensor fields. Covariant and Lie derivatives. Riemannian manifolds, the Levi-Civita connection, torsion, curvature and parallel transport. Differential forms, exterior calculus and integration on manifolds. If time permits we will discuss additional topics such as de Rham cohomology and fibre bundles. Books: C. Isham, Modern Differential Geometry for Physicists, World Scientific, 1989. M. Nakahara, Geometry, Topology and Physics, IOP, 1990. I. Madsen and J. Tornehave, From Calculus to Cohomology, CUP, 1997. M. Gockler and T. Schucker, Differential Geometry, Gauge Thoeries and Gravity, CUP, 1987. S. Kobayahi and K. Nomizu, Foundations of Differential Geometry, vol. I, Wiley, 1963.
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7CCMMS32 (CM438Z) Quantum Field Theory Lecturer: Professor G Papadopoulos Web page: http://www.mth.kcl.ac.uk/courses/ (or via links from King’s Mathematics Department home page) Semester: First Teaching arrangements: Two hours a week. There are no tutorials for this course. Assessment: The course will be assessed by a two-hour written examination at the end of the academic year. Assignment: Homework will be given out. Solutions handed in will be marked. Difficulties with the material will be explained during the course. The solutions to the homework questions will be provided. Aims and objectives: To provide basic foundational material in quantum field theory. Syllabus: Relativistic quantum mechanics: Klein-Gordon equation; Dirac equation. Classical field theory: Lagrangian; Hamiltonian; Noether theorems. Free field theory: Quantisation of scalar field; Fock spaces; Normal ordering; Time ordering; Feynman propagator. Interactions: perturbation; Wick’s Theorem; Feynman diagrams; regularization. Books: The course is not based on any particular book but it will be helpful to read parts of the following texts: J Bjorken and S Drell, Relativistic Quantum Mechanics and Relativistic Quantum Fields, McGraw-Hill C Itzykson and J-B Zuber, Quantum Field Theory, McGraw-Hill S Weinberg, The Quantum Theory of Fields, Vol 1, CUP
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7CCMMS40 (CM439Z) Introduction to Supersymmetry Lecturer: Dr N Lambert Web page: http://www.mth.kcl.ac.uk/courses Semester: Second Teaching arrangements: Two hours of lectures each week Prerequisites: Students should be familiar with quantum field theory, special relativity and field theory in the Lagrangian formalism. Knowledge of Lie algebras is also an advantage. Assessment: The courses will be assessed by a two hour written examination at the end of the academic year. Assignments: Exercise sheets and solutions will be given out. Solutions handed in will be marked and discussed in class. It is essential that students work through the theory as the course progresses. Aims and objectives: Supersymmetry is one of the most promising approaches to understanding particle physics beyond the ‘standard model' and is also the underpinning of the most recent ideas in theoretical physics such as superstring theories. This course provides the mathematical background to this area and to enable one both to appreciate some of the beauty of this subject and also to prepare one to study the current research literature in this area. Syllabus: The Coleman-Mandula Theorem and the four-dimensional N=1 supersymmetry algebra. The Wess-Zumino model in four dimensions. Extended supersymmetries and BPS states. Additional topics as time permits: auxiliary fields, superfields, and superpoint particle. Books: The lecture notes taken during the lectures are the main source. However, some of the material is covered in: P. West: Introduction to Supersymmetry, World Scientific S. Weinberg: The Quantum Theory of Fields, volume III, Cambridge University Press
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CM451Z Neural Networks Lecturer: Dr H C Rae Web page: http://www.mth.kcl.ac.uk/courses Semester: First Teaching arrangements: Two and a half hours of lectures each week, together with an informal tutorial class, by arrangement, at regular intervals. Prerequisites: A thorough knowledge of CM112A Calculus II, and of CM141A Probability & Statistics I; a knowledge of CM241X Probability & Statistics II would be advantageous, but is not essential. Students must be conversant with elementary Linear Algebra. If you are deficient in any of these areas you will find yourself in difficulty. An understanding of elementary electrical theory will be helpful if you are concerned to have a basic understanding of biological neurons ⎯ but this is certainly not necessary in order to understand this course. Assessment: The course will be assessed by a two hour written examination at the end of the academic year. Assignments: Exercises will be set as the theory is developed; you must make a serious attempt to do these. Solutions handed in will be marked and difficulties discussed in the tutorial class. In addition, it is essential that students work through the lectures as the course progresses. Aims and Objectives: The course aims to introduce you to the fundamental concepts of the theory of artificial Neural Networks. Starting from some basic facts concerning the behaviour of ‘real neurons’ we attempt to ‘model’, in an elementary sort of way, certain aspects of our own brains, for example our ability to ‘learn’ and our ability to ‘remember’. The course covers neural information processing, biological neurons and model neurons, layered neural networks and recurrent neural networks. The type of modelling encountered in this course will probably be new to you, especially if your experience of applied mathematics is solely in the area of physical applied mathematics. Syllabus: General Introduction: Neural information processing. Biological neurons and model neurons. Layered Neural Networks. Linear separability. Multi-layer networks. The perceptron, Learning in layered networks: error backpropagation. Dynamics of learning in large perceptrons. Recurrent Neural Networks: Noiseless recurrent neural networks: Interaction symmetry and its consequences. Dynamics of symmetric and non-symmetric attractor networks(sequential & parallel). Stationary states for Hopfield type models. Books:
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(1) Theory of Neural Information Processing Systems (Oxford U.P., 2005) by ACC Coolen, R Kühn and P Sollich
Details of the book are available at http://www.oup.co.uk/isbn/0-19-853024-2 This book covers various lecture courses taken by IPNN students, including Advanced Neural Networks, Statistical Mechanics of Neural Networks, and Information Theory and Neural Networks, as well as CM451Z. IPNN MSc students are strongly advised to acquire a copy. (2) Neural Networks, by B Muller, J Reinhardt, M T Strickland (Springer) Introduction to the Theory of Neural Computation, by J Hertz, A Krogh, R G Palmer (Addison Wesley) (3) An Introduction to Neural Networks, by James Anderson (Bradford Books MIT Press)
(4) Neural Networks, by Phil Picton (Palgrave) ⎯ this is rather elementary but has a ‘practical’ flavour which might be useful supplementary reading for someone with no prior knowledge of Neural Networks.
Supplementary Material: Extensive supplementary material and notes, including past examination papers and solutions, will be available on the course website.
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CM467Z Applied Probability and Stochastics Lecturer: Dr A Lökka Web page: http://www.mth.kcl.ac.uk/courses/cm467z.html Semester: First Teaching arrangements: Two hours of lectures each week. Prerequisites: None. Assessment: The course will be assessed by a two hour written examination at the end of the academic year. Assignments: Exercise sheets will be given out. Aims and objectives: The aim of this course it to introduce some of the basic concepts and techniques of measure theoretic probability and stochastic processes. An understanding of the ideas and the results developed in this course is essential in many areas of application, including mathematical finance.
Syllabus: Probability spaces, random variables, distributions, independence, product spaces. Expectation and conditional expectation. Moments, generating functions, characteristic functions. Random processes, filtrations and stopping times. Martingales, Brownian motion and the Poisson process. Elements of Itô integration.
Books: The course will be based mainly on lecture notes distributed in the lectures. The following books may be useful as background reading for the course: M. Capinski and E. Kopp (1999), Measure, Integral and Probability, Springer-Verlag. J. Jacod and P. Protter (2000), Probability Essentials, Springer-Verlag. D. Williams (1991), Probability with Martingales, Cambridge University Press. Further recommendations for reading may be made as the course progresses.
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7CCMMS05 (MS05) Basic Analysis
Lecturer: A Pushnitski
Web page: http://www.mth.kcl.ac.uk/courses/cmms05.html
Semester: First
Teaching arrangements: Two hours of lectures each week. Some exercises will be given during the lectures or posted on the web; these will be neither marked nor assessed and are for practice only.
Prerequisites: A rigorous analysis course and some knowledge of linear algebra.
Assessment: By a single 2 hour written examination in the summer term. There is no coursework component.
Aims and objectives: To discuss some fundamental aspects of functional analysis
Syllabus: The various topics to be discussed include metric spaces, continuous maps, normed spaces, completeness, bounded linear maps, Baire category theorem, Banach-Steinhaus theorem, open mapping theorem, closed graph theorem, compactness, Stone-Weierstrass theorem, Hahn-Banach theorem, the dual space. Instruction is by formal lectures.
Books: The course is essentially self-contained, but the following books provide good background reading:
M.Reed & B.Simon, Methods of modern mathematical physics, vol.1: Functional analysis; W.Rudin, Functional Analysis P.Lax, Functional Analysis A. Kolmogorov & S. Fomin, Introductory real analysis
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Projects The BSc Project Option (CM345C) Third year BSc students may elect to do a project as a half-unit option. The topic must be of a generally mathematical nature and the project must be supervised by a member of staff. Students are advised to discuss this option and obtain the agreement of a member of staff to act as supervisor before the beginning of their third year. A project title, outline and supervision plan must be agreed with the supervisor and a form submitted, signed by the supervisor, to Professor G Papadopoulos, by Monday 2 October 2006. Registration is not complete until this has been done. The results of the project must be submitted, as a dissertation of 5,000-10,000 words, to the project supervisor by 4pm on Wednesday 21 March 2007. Two copies are required. The dissertation will be examined by the project supervisor and a second examiner, the latter to be appointed by the Chairman of the Board. The two examiners will also conduct an oral examination of the candidate. A rough guide to the general areas in which members of staff may be willing and available to supervise projects in 2006/2007 is as follows: Algebra / Number Theory M Breuning, D Burns, F Diamond, P Kassaei, J R Silvester Analysis / Differential Equations E B Davies, E Shargorodsky, A Pushnitski Topology / Geometry WJ Harvey, A N Pressley, J R Silvester Mathematical Physics N Lambert, L J Landau, G Papadopoulos, A Recknagel, F A Rogers, G M T Watts Disordered Systems and Neural Networks ACC Coolen, R Kühn Computing S Fairthorne History of Mathematics S Fairthorne Financial Mathematics LP Hughston, I Buckley, A Lökka, M Pistorius, W Shaw Students should feel free to approach members of staff with topics from other areas. A document Information for Students on the Project Option is available from the Departmental Office. The MSci Project (CM461C) All fourth year MSci students are required to complete a project on a mathematical topic. This involves writing a report of between 5,000 and 10,000 words, preparing a poster that describes the work, and giving a twenty minute seminar to staff and fellow students. The project counts as a full unit, which makes it a very important part of the final year. Each student will have a supervisor; the supervisor’s task is to advise, not to direct the project, but students should feel free to consult as necessary, and in particular are advised to show
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the supervisor a draft of the report at an early stage. The choice of supervisor is by agreement between the student and the member of staff. At registration in the Department, each fourth year student will be given a form on which to state the topic and provisional title of his or her project. This must be signed by the supervisor and returned to Professor G Papadopoulos by Monday 2 October 2006. Registration is not complete until this has been done. There will be informal seminars during the revision period at the beginning of the second semester (i.e. the period 8-12 January). While it is not expected that the projects will be near completion at that point, students should be able to give at least an account of the background and an indication of what they hope to accomplish. The deadline for submission of projects is 4pm Wednesday 21 March 2007, i.e. two days before the end of the second term. The seminar and poster session will be held during the week immediately before the final examinations begin. 11. OPTIONAL EXTRAS TO SUPPLEMENT YOUR DEGREE PROGRAMME Associateship of King’s College (AKC) All King's students have the opportunity to study for this unique additional qualification alongside their chosen degree. The AKC complements the College's tradition of a broad-based education; it enables students from all disciplines to think about fundamental questions of theology, philosophy and ethics in a way appropriate to the new millennium. Participants attend a course of eighteen one-hour lectures each year for three years, the contents of which are examined annually by a two hour examination. The lectures are not propaganda but invite you to consider major issues in an informed and rational way. There is space for the AKC on timetables, and all students are encouraged to take advantage of this course, which is unique to King's College. English Language Centre This Centre teaches English as a foreign language to non-English speaking students from around the world. The Centre runs pre-sessional and in-sessional language classes for overseas students needing to gain an English language qualification or to improve upon their language skills. Workshops are also offered for English-speaking students who need help improving their communication skills for essay writing etc. Modern Language Centre The Modern Language Centre, which is part of the School of Humanities, offers a range of courses in modern foreign languages from complete beginner to degree level. Students can therefore undertake for credit, or just out of interest, an element of language training in their studies, whatever main subject they have chosen. It should be noted that language modules do not count towards satisfying the requirement that a candidate, for a first or upper second class honours degree, must pass at least 1.5 course units in the final year at or above the class of honours being awarded.
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Final-Year courses given elsewhere With the approval of the Programme Director, final-year single subject students may attend courses at other Colleges of the University. In particular, the Department has made special arrangements with University College, and the Programme Director will have details of the final-year Mathematics programme. Students should pay particular attention to the likelihood that the dates of semesters in other colleges will not coincide with our own. Some courses in the Computer Science Department at King's College are also suitable. It is the responsibility of each student to satisfy himself as to the time and location of any examinations. The courses being offered at UCL this year include: O1C327 Real Analysis (Semester 1) O1C365 Geometry of Numbers (Semester 1) O1C371 Analytic Number Theory (Semester 2) Further details may be found at: http://www.ucl.ac.uk/mathematics/courses/index.html http://www.ucl.ac.uk/mathematics/currentundergradinfo/timetable.html 12. TIMETABLE(S) 2006/2007
The Timetables will be issued as part of your induction programme. Occasionally, it is necessary to make amendments to the timetable once teaching has started, so it is important to check the notice board, outside Room 429, on a regular basis.
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13. CHANGE OF ADDRESS FORM You may tear this page out or photocopy it, as required.
School of Physical Sciences and Engineering Notification of Change of Address Name Course Year of Study (1st, 2nd etc.) Student Number New Address: if your address during term time is different to your address during vacation time, please indicate which address you are changing. TERM / VACATION Postcode: Telephone number: Date effective from: No forward dates please! Please hand or send the completed form to the School Office, Room 34B, King’s College London, Strand, London, WC2R 2LS
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14. STATEMENT ON PLAGIARISM Plagiarism is the taking of another person's thoughts, words, results, judgements, ideas, etc, and presenting them as your own. Plagiarism is a form of cheating and a serious academic offence. All allegations of plagiarism will be investigated and may result in action being taken under the College's Misconduct regulations. A substantiated charge of plagiarism will result in a penalty being ordered ranging from a mark of zero for the assessed work to expulsion from the College. Collusion is another form of cheating and is the unacknowledged use of material prepared by several persons working together. Students are reminded that all work that they submit as part of the requirements for any examination or assessment of the College or of the University of London must be expressed in their own words and incorporate their own ideas and judgements. Direct quotations from the published or unpublished work of others, including that of other students, must always be identified as such by being placed inside quotation marks with a full reference to the source provided in the proper form. Paraphrasing - using other words to express another person's ideas or judgements - must also be acknowledged (in a footnote or bracket following the paraphrasing) and referenced. In the same way, the authors of images and audiovisual presentations must be acknowledged. Students should take particular care to avoid plagiarism and collusion in coursework, essays and reports, especially when using electronic sources or when working in a group. Students should also take care in the use of their own work. Credit can only be given once for a particular piece of assessed work. Submitting the same piece of work (or a significant part thereof) twice for assessment will be regarded as cheating. Unacknowledged collaboration may result in a charge of plagiarism or in a charge of collusion. Students are advised to consult School and departmental guidance on the proper presentation of work and the most appropriate way to reference sources; they are required to sign and attach a statement to each piece of work submitted for assessment indicating that they have read and understood the College regulations on plagiarism. Students should be aware that academic staff have considerable expertise in identifying plagiarism and have access to electronic detection services to assist them. ______________________________________________________________________________ I confirm that, having read the above statement, I understand the nature of plagiarism and how to avoid it. Student name (in capitals) _________________________ Student reference number _________________________ Signature of student ______________________ Date __________________ Please hand in this form to your Departmental Office. Please note: this must be done for EACH YEAR of study. On completion, this form will be retained by your department.
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15. SAFETY CHECK LIST Please ensure that you have details of all the items listed below – ask your supervisor. You can either tick the box to show that you have been informed about the details, or make a note for your information.
Please hand a copy of this form, when completed, to your Departmental Office.
NAME (please print): Student ID: SUPERVISOR: Date:
Emergency Phone Number 2222
Health Centre Phone Number 020-7848 2613
Your Nearest Fire Extinguisher
Types of Fire Extinguishers
Your Fire Exit Route
Your Fire Assembly Area
Your Nearest First Aid Box
Your Nearest Spill-Kit
Names & Tel Numbers of First Aiders
Emergency Procedures
Lone Working
Smoking, Eating and Drinking
Lab Coats and Safety Spectacles
Tidiness DSE use (working at a computer)
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16. INDEX
Absence...............................................................................................................................7 Administrative Matters .........................................................................................................5 Associateship of King’s College.......................................................................................147 BSc/MSci Mathematics ................................................................................................51, 61 Candidate number .............................................................................................................25 Change of address ............................................................................................................24 Change of address form ..................................................................................................149 Change of Degree Course .................................................................................................88 Class Tests ........................................................................................................................34 Code of Conduct & Behaviour ...........................................................................................30 Computing Facilities.............................................................................................................7 Council Tax Exemption ......................................................................................................25 Course
Change of.......................................................................................................................24 Course Unit
Registration ....................................................................................................................22 Course Unit System...........................................................................................................22 Coursework........................................................................................................................32 Deadlines...........................................................................................................................25 Debtors ..............................................................................................................................26 Departmental Information ..................................................................................................27 Disclaimer .......................................................................................................................... vii Email..................................................................................................................................17 English Language Centre ................................................................................................147 Examination
Passport .........................................................................................................................25 Resit ...............................................................................................................................24
Examination Passport ........................................................................................................23 Examination Regulations ...................................................................................................37 Facilities and Services .........................................................................................................7 Fees
Resits .............................................................................................................................26 French and Mathematics BA.............................................................................................82 Further information ..............................................................................................................v Game Theory...................................................................................................................114 Grievance Procedure.........................................................................................................26 Help desks .........................................................................................................................20 ID Cards.............................................................................................................................25 Information Services Centres.............................................................................................17 Interruption of studies ........................................................................................................24 Introduction ..........................................................................................................................1 Introduction to Information Theory ...................................................................................116 ISS website........................................................................................................................16 Joint Honours Courses ......................................................................................................63 Journals .............................................................................................................................19 KCLSU...............................................................................................................................21 Letters................................................................................................................................25 Library catalogue ...............................................................................................................18
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LT Cards ............................................................................................................................25 Mathematics and Computer Science (Management) BSc .................................................70 Mathematics and Computer Science BSc..........................................................................64 Mathematics and Computer Science MSci ........................................................................67 Mathematics and Management BSc ..................................................................................72 Mathematics and Philosophy BA .......................................................................................85 Mathematics and Physics BSc...........................................................................................74 Mathematics and Physics MSci .........................................................................................77 Mathematics and Physics with Astrophysics BSc ..............................................................80 Mathematics with Education ..............................................................................................59 Mathematics with Philosophy of Mathematics ...................................................................55 MathSoc.............................................................................................................................20 Mission Statement ...............................................................................................................4 Modern Language Centre ................................................................................................147 Module ........................................................................................................ See Course Unit MSci in Mathematics..........................................................................................................51 Occurrences ......................................................................................................................22 Organisations.....................................................................................................................20 Passwords .........................................................................................................................19 PAWS ................................................................................................................................17 Plagiarism ........................................................................................................................150 Pop-In tutorials...................................................................................................................31 Prizes.................................................................................................................................28 Programme
Change of.......................................................................................................................24 Programmes Of Study .......................................................................................................49 Projects............................................................................................................................146 Projects and Essays ..........................................................................................................36 Safety Check List .............................................................................................................151 Safety Procedures .............................................................................................................27 School Office ..................................................................................................v, vii, 5, 50, 88 School Procedures ............................................................................................................21 Staff/Student Committee....................................................................................................27 Student Presentations........................................................................................................35 Term dates 2003-2004.........................................................................................................4 Timetable(s) 2003/2004...................................................................................................148 Transcripts ...................................................................................................................25, 26 Tutor System .......................................................................................................................5 Walk-in Tutorials ................................................................................................................31 Welfare Service .................................................................................................................15 Wireless network access ...................................................................................................17 Withdrawal from College....................................................................................................24 Workload............................................................................................................................35