mathematics undergraduate brochure

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SCHOOL OF ENGINEERING aND MatHEMatICaL SCIENCES BSc/MMath Mathematical Science BSc/MMath Mathematical Science with Computer Science BSc/MMath Mathematical Science with Finance and Economics BSc/MMath Mathematical Science with Statistics BSc/MMath Mathematics and Finance Mathematics UNDERGRaDUatE COURSES The University for business and the professions Find out more at: www.city.ac.uk/ engineering- maths/ undergraduate Email enquiries: semsug@ city.ac.uk Phone enquiries: +44 (0) 20 7040 6050 City University London Northampton Square London EC1V 0HB United Kingdom

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Find out more at: www.city.ac.uk/ engineering- maths/ undergraduate Phone enquiries: +44 (0) 20 7040 6050 City University London Northampton Square London EC1V 0HB United Kingdom Email enquiries: semsug@ city.ac.uk SCHOOL OF ENGINEERING aND MatHEMatICaL SCIENCES The University for business and the professions

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Page 1: Mathematics Undergraduate Brochure

SCHOOL OF ENGINEERING aND MatHEMatICaL SCIENCES

BSc/MMath Mathematical Science

BSc/MMath Mathematical Science with Computer Science

BSc/MMath Mathematical Science with Finance and Economics

BSc/MMath Mathematical Science with Statistics

BSc/MMath Mathematics and Finance

MathematicsUNDERGRaDUatE COURSES

The University for business and the professions

Find out more at:www.city.ac.uk/engineering-maths/undergraduate

Email enquiries:[email protected]

Phoneenquiries:+44 (0) 20 7040 6050

City University LondonNorthampton SquareLondonEC1V 0HBUnited Kingdom

Page 2: Mathematics Undergraduate Brochure

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ContentsCourses

45

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SCHOOL OF ENGINEERING aNDMatHEMatICaL SCIENCES

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

MatheMatics aeronautical and air transportBEng/MEng AeronauticalEngineering

BEng/MEng Air TransportEngineering

BSc Air Transport Operations with ATPL

BioMedical engineeringBEng Biomedical Engineering

civil engineeringMEng/BEng Civil Engineering

MEng/BEng Civil Engineering with Architecture

MEng/BEng Civil Engineering with Surveying

electrical and electronic engineeringBEng Computer SystemsEngineering

BEng/MEng Electrical andElectronic Engineering

BEng Telecommunications

engineering with ManageMentand entrepreneurshipBEng Engineering with Management and Entrepreneurship

Mechanical, energy and autoMotive BEng/MEng Automotive and Motorsport Engineering

BEng/MEng Energy Engineering

BEng/MEng Mechanical Engineering

BSc/MMathMathematical Science

BSc/MMathMathematical Sciencewith Computer Science

BSc/MMathMathematical Science with Finance and Economics

BSc/MMathMathematical Sciencewith Statistics

BSc/MMath Mathematics and Finance

contentsWelcome 2Why study at City? 3Discover Mathematics at City 4Entry requirements and scholarships 5CoursesMathematical Science 6Mathematical Science 8with Computer ScienceMathematical Science 10with Finance and EconomicsMathematical Science 12with Statistics

Mathematics and Finance 14About MMath degrees in Mathematics 16Employability through experience 17Talking about work placements 18Graduate careers 19Research in Mathematics 20Meet the Mathematics 22academic teamA truly international outlook 25Student life at City 27How to apply 28Map and contacts 29

City University London is offering Scholarships of up to £3,000 per year to UK and EU undergraduate students achieving AAB or above at A-level orequivalent qualifications. Please refer to page 5for more information.

Page 3: Mathematics Undergraduate Brochure

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: introduction

32

Why study at City?about the School of Engineering and Mathematical SciencesCity University London is different. We provide exceptionalgraduate employment prospects as a result of our commitmentto academic excellence, focus on business and the professions,and the benefits of our central London location.

tradition and heritageEngineering andmathematical scienceshave been taught at City for over 100 years.

central londonlocationWe are located in the heart of London, close to the capital’s leadinginstitutions and thefinancial district of the City of London. Bothprofessionally andpersonally, you will havethe opportunity to benefitfrom all that London has to offer.

For more informationplease visitwww.city.ac.uk/visitus

exceptionaleMployMent prospectsWe are ranked 10th in the UK for both graduateemployability (The TimesGood University Guide2011) and graduate startingsalaries (The Sunday TimesUniversity Guide 2011).

Business linksThe School has stronglinks with Cass BusinessSchool and the EconomicsDepartment, who providemodules on several of our programmes.

acadeMic excellence and researchOur staff and students are actively involved inpioneering research. In the Government’s latestResearch AssessmentExercise (RAE), ourresearch in fifteen subjectareas was rated by expertpanels as amongst the best in the world.

Find out more atwww.city.ac.uk/engineering-maths/research

interdisciplinaryThe School stronglypromotes theinterdisciplinary approachto mathematics. It reflects the requirements ofindustry and the job markettoday, in its undergraduateteaching, in the breadth of its postgraduateprogrammes and especiallyin its research whichrecognises that muchinnovation and excitementlies at the interfaces oftraditional disciplines.

placeMentsStudents on ourprogrammes may take a one-year placement in industry between the 2nd and 3rd year of theirBSc/MMath. During their1st and especially their 2nd year BSc/MMathstudents will receiveextensive careers supporttargeted at identifying job opportunities formathematicians andapplying for jobs.

excellentBursary/scholarshipprovisionsWe offer a range of merit-based scholarships,bursaries and awards forstudents who demonstrateexceptional potential. They not only recogniseoutstanding ability but enable studentsexperiencing financialhardship to study at City.

For more information go to www.city.ac.uk/engineering-maths/scholarships

rewarding excellenceCity University London isoffering Scholarships of up to £3,000 per year to UK and EU undergraduatestudents achieving AAB or above at A-level orequivalent qualifications.

Please refer to page 5for more information.

Mathematics is fundamentalto our society and themodern technologicalenvironment. It underpinsmany of the most importantrecent innovations ofmodern life – from mobilephones and the internet tothe analysis of genetic data.Both through its applicationsand as a subject of beauty in its own right, mathematicshas a key role to play in the future.

At its heart, mathematics is truly international in itsscope, its impact and in thepeople who undertake it –contributing enormously to making our modern world what it is. Studyingmathematics develops anability to think logically and analyse complexsituations – both key skillsthat underpin an enormousvariety of interesting and successful careers.

I am delighted that you are considering studyingmathematics to becomeinvolved in a subject that isfundamental to many of the key professions of today.

A degree in mathematicsfrom City University Londonwill equip you for a role to bea driver of future change andallow you to make your markon a rapidly changing world.That builds on our long and distinguished tradition,stretching back for nearly 120 years, of training the best mathematicians andengineers at City UniversityLondon to change the world– we are immensely proud of the way that our graduateshave been at the forefront of industry and academia in the UK and worldwideover that time.

Mathematicians who have graduated from City University London –whichever of our degreeprogrammes they havestudied – inhabit the realworld which throws up abreadth of mathematicalchallenges arising from the fundamental role thatmathematics plays in a wide variety of careersincluding (but by no means restricted to) those in finance, economics,government service and

in academia. Building a broad understanding and seeking a mastery of the field is essential formathematicians to maketheir mark on the world.

Most especially, a training in mathematics is a path tobeing a leader in tomorrow’scomplex world – a leader in applying logical problem-solving techniques andsolutions, a leader instrategic thinking, a leader in innovation and a leader in communication. Our roleat City University London is to develop and instil thoseskills in our graduates and fit them to take up thoseopportunities – our degreeprogrammes have beendesigned to prepare you for this.

I challenge you to come onthe journey that will take you to a rewarding, aninteresting and an excitingcareer which will change the world in the twenty firstcentury – through equippingyourself with the breadth ofskills you will need and thata City University London

degree in mathematics willgive you. I challenge you to make the most of theopportunities that this canoffer and to recognise thecrucial and transformativerole that a qualification inmathematics can make to your life.

I look forward to welcomingyou as a student of theSchool of Engineering andMathematical Sciences atCity University London.

Professor Kenneth Grattan FREngDean of the School of Engineering and Mathematical Sciences

Mathematics combines an understanding of abstract subject matter with a wealth of applications which have transformedsociety in areas such as communications,health, security and finance.

Welcome to the School of Engineering andMathematical Sciences

Page 4: Mathematics Undergraduate Brochure

City University London offers the following degree courses with or without a placementyear at Industry:

Bsc/MMath MatheMatical science

Bsc/MMath MatheMatical science with coMputer science

Bsc/MMath MatheMatical science with Finance and econoMics

Bsc/MMath MatheMatical science with statistics

Bsc/MMath MatheMatics and Finance

Every course is a standard three year BSc but can also be extended to a four year MMath (see page 16).

More detailed information about the modulecontent of each of these courses can befound in the following pages. In the nextparagraphs we will briefly describe the maindifferences between the various courses.

The contents of the three courses in the middle of the list above overlapsubstantially with each other and with that of the Mathematical Science BSc. Allfour courses provide a thorough groundingin University level mathematics and aremainly a Mathematical Science BSc with aspecialisation to Statistics, Computer Scienceor Finance and Economics, respectively.

The Mathematics and Finance BSc is slightly different in its structure as it containsless core mathematics and more finance.About half of the course is mathematics with the other half devoted to a particulararea of finance known as Actuarial Science.There is also some Economics in year one.

This course is particularly well suited for students who are good at Statistics, as much of the finance involved is ofstatistical type. It provides a good startingpoint for students who wish to qualify asActuarial in future, as they may obtain amaximum of three exemptions from theInstitute of Actuaries examinations.

The Mathematical Science with Finance andEconomics BSc is a less specialised degree,particularly suited for students who likemathematics as their main subject but also want to get a basic introduction tovarious areas of finance and economics.

Discover Mathematics at City

Mathematics plays a fundamental role in many areas of our lives. The civilservice, government agencies, businesses and research establishments all need capable mathematicians, as do large corporations, public utilities and financial companies. Mathematics based degrees at City help studentsacquire some of the skills most valued by employers: knowledge of advanced mathematics, problem-solving and communication skills.

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

54

Typical offers requireone of the following:A/AS-level: 360 UCAS tariff points with an A in mathematics or further mathematics at A-level. Point scores excludegeneral studies and keyskills. A/AS-levels in amother tongue other thanEnglish count at half value.

IB: 32, with 6 in Higher Level mathematics.

14-19 Advanced Diploma:Engineering or businessadministration and financeat grade B/250; A-levelmathematics at grade A/120.

English languagerequirements:• IELTS: 6.0 • TOEFL: 87

internet-based total• GCSE: English

language grade C.

the city universitylondon scholarshipFor acadeMicexcellence

Supporting you in your studies, City UniversityLondon is offering a Scholarship of upto £3,000 per year to UK and EUundergraduatestudents achieving AAB or above at A-level.

Your exceptional academicperformance should berewarded and recognised.

Achieve AAB or above in your A-levels, or equivalent*, and it will be.

To acknowledge yourachievement we haveestablished the City UniversityLondon Scholarship forAcademic Excellence for UK and EU students starting an undergraduate programme of study at City in 2012. The award will be grantedsubject to confirmation of your A-level results (orequivalent qualifications).

As a Student in the School ofEngineering and MathematicalSciences you will be eligible for £3,000 a year if you achieveA*AA standard in your three best A-levels or equivalentqualifications, £2000 if you achieve AAA standard, and £1000 if you achieve AAB standard.

The Scholarship extends over three or four years subject to satisfactoryacademic performance with the exception ofplacement years.

You do not need to apply –once your qualifications areconfirmed in August 2012 an award will be made. Allapplicants achieving therequired level will automaticallybe awarded the Scholarship.

General Studies A-level is excluded.

note:The 2012 City University LondonScholarships arrangements aresubject to final approval in theUniversity and we reserve the right to make changes and thesewill appear on our website soplease check back regularly.

*For full terms and conditions, seewww.city.ac.uk/study/undergraduate/scholarships/terms-and-conditions

course ucas code

BSc/MMath Mathematical Science G100

BSc/MMath Mathematical Science with Computer Science G1G4

BSc/MMath Mathematical Science with Finance and Economics G1L1

BSc/MMath Mathematical Science with Statistics G1G3

BSc/MMath Mathematics and Finance GN13

Email enquiries:[email protected]

Phone enquiries:+44 (0) 20 7040 6050

Find out more at:www.city.ac.uk/engineering-maths/undergraduate

NExt StEpSOpen Days:Visit www.city.ac.uk/engineering-maths/undergraduate/opendays

How to apply:See page 28.

Entry requirementsand scholarships

ENtRYREqUIREMENtS2012/13

Page 5: Mathematics Undergraduate Brochure

Next steps:Open Days:Visit www.city.ac.uk/engineering-maths/undergraduate/opendays

How to apply:See page 28.

6

Helen Hoang

“I am a third year student studyingMathematical Science. I enjoy beinga student at City University Londonbecause the people are friendly, the lecturers are supportive and the environment is vibrant. CityUniversity London has given me an amazing experience and Irecommend studying here becauseyou will have a fantastic time!”

BSc Mathematical Science

This course provides a thorough grounding in university level Mathematics,together with elements of Statistics and Computing.

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

course overviewThe principal aim of this course is tointroduce students to a variety of differentaspects of modern Mathematics. City’scourse has a particular focus on appliedMathematics, although students are alsointroduced to several aspects of pureMathematics throughout the degree.

Students in this course receive training in advanced Mathematicaltechniques and develop problem solvingand communication skills much valued by employers. Our students have gone on to a wide variety of careers in business,finance, the civil service, teaching andaccountancy, and also to further study inMathematics at the MSc and PhD level.

The first year of the course is devoted to core material, including BasicProgramming and Statistics that is needed by all Mathematics graduates.

In the second and third year the proportionof the course that is core decreases, andstudents can chose from an increasing rangeof options. The proportion of time devoted to the various subjects is indicated in theadjacent table, together with a selection of the options available in each year.

A distinctive feature of the course is the finalyear group project, which provides studentswith the opportunity to write a technicalreport and give individual presentations.The summer teaching term in the first twoyears is also designed around project work and presentation skills.

For entry requirements, please see page 5.

The course may be extended to four yearsleading to a MMath (see page 16).

7

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

Email enquiries:[email protected]

Phone enquiries:+44 (0) 20 7040 6050

Find out more at:www.city.ac.uk/engineering-maths/undergraduate

year one year two year three

Functions, vectors and calculus

algeBra

introduction toproBaBility and statistics

prograMMing

MatheMaticalcoMMunication

coMputational MatheMatics

ciphers and nuMBer theory

calculus and vector calculus

linear algeBra

coMplex variaBle

real analysis

three MatheMatics options

MatheMatical Methods

group project

Five MatheMatics options

Modules

options*

DynamicalSystemsAppliedMathematicsNumericalMathematicsDecision Analysis

options*

DiscreteMathematicsDifferentialEquations forFinanceFluid DynamicsMathematicalBiologyOperationalResearchStochastic Models

*These are indicative and not the complete list.

Page 6: Mathematics Undergraduate Brochure

Aizhan Rymbek

“I enjoy studying at City UniversityLondon. What I love about City isthe international community: youcan meet some of the best studentscoming from all over the world. In such a diverse environment theexperience is very enriching not only your studies, but in general for your life. Studying at City is verychallenging and it requires workinghard in order to get good results,however it is an experience I wouldrecommend to everyone who wants to study Mathematics.”

BSc Mathematical Science with Computer Science

This course gives a general introduction to Mathematics, combined withelements from modern Computer Science.

8

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

9

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

course overviewThis course has much in common with the BSc Mathematical Science, the maindifference being a greater emphasis onComputer Science. The mathematical focusis as for Mathematical Science, while theComputer Science component covers a rangeof topics in modern computing. The majorityof the Computer Science options are takenfrom the various Computer Science degreesin the School of Informatics.

Students in this course acquire a similar setof skills as in the BSc Mathematical Science,but with a greater emphasis on applicationsin Computer Science. While students can go on to a wide range of careers, most haveentered careers in computing or computing-related areas in business and in finance.

The first year of the course is devoted to corematerial, and is similar to the MathematicalScience first year, but with a greater emphasison Computer Science.

At the end of the first year it is possible forstudents to change course to MathematicalScience if they so wish. In the second andthird year the proportion of the course thatis core decreases, and students can chosefrom an increasing range of options. Theproportion of time devoted to the varioussubjects is indicated in the adjacent table,together with a selection of the optionsavailable in each year.

A distinctive feature of the course is the finalyear group project, which provides studentswith the opportunity to write a technicalreport and give individual presentations.The summer teaching term in the first twoyears is also designed around project workand presentation skills.

For entry requirements, please see page 5.

The course may be extended to four yearsleading to a MMath (see page 16).

Next steps:Open Days:Visit www.city.ac.uk/engineering-maths/undergraduate/opendays

How to apply:See page 28.

Email enquiries:[email protected]

Phone enquiries:+44 (0) 20 7040 6050

Find out more at:www.city.ac.uk/engineering-maths/undergraduate

year one year two year three

java prograMMing

algeBra

MatheMaticalcoMMunication

coMputational MatheMatics

coMputation and reasoning

calculus and vector calculus

linear algeBra

coMplex variaBle

systeMs architecture

networks and operating systeMs

MatheMatical Methods

group project

three MatheMatics options

Modules

options*

MathsDynamicalSystemsReal AnalysisAppliedMathematicsNumericalMathematics

Computing SoftwareEngineeringFunctionalProgrammingLanguageProcessors

options*

MathsDiscreteMathematicsDifferentialEquations for FinanceFluid DynamicsMathematicalBiologyGroups andSymmetry

Computing Objected OrientedProgramming in C++Data Structure and AlgorithmsIntroduction toData MiningHuman ComputerInteraction

*These are indicative and not the complete list.

one MatheMatics option

one coMputing option

two coMputing options

Functions, vectors and calculus

Page 7: Mathematics Undergraduate Brochure

Karan Pattni

“I have thoroughly enjoyed studying mathematics at City. The lecturers are enthusiastic and support you all the way. You get to meet some of the smartest people and make goodfriends with them. The location gives you the benefit of taking full advantage of what London has to offer.”

BSc Mathematical Science with Finance and Economics

This course combines Mathematics with various aspects of Finance andEconomics and offers a broad range of topics in areas such as financialmarkets, corporate finance and various kinds of economics.

10

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

11

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

course overviewThis course introduces students to the core concepts of Mathematical Science,together with a range of topics from Financeand from Economics. The mathematicalfocus is as for Mathematical Science, whilethe Finance and Economics options aredesigned to introduce students to a widerange of areas across the different parts of modern business. All of the Finance and Economics modules are delivered by Cass Business School or the EconomicsDepartment, and are taken from the degree programmes in Actuarial Science and in Economics.

Students in this course acquire a similar set of skills as in the BSc MathematicalScience, together with an understanding of the wide range of topics that make upmodern Finance and Economics. This leaves students well qualified for a range of careers, particularly in the Finance and Business sectors.

The first year of the course is devoted to core material, and is similar to theMathematical Science first year, but with a greater emphasis on economics. At the end of the first year it is possible for studentsto change course to Mathematical Science if they so wish. In the second and third yearthe proportion of the course that is coredecreases, and students can chose from anincreasing range of options. The proportionof time devoted to the various subjects isindicated in the adjacent table, togetherwith a selection of the options available in each year.

A distinctive feature of the course is the final year group project, which providesstudents with the opportunity to write atechnical report and give individualpresentations. The summer teaching term in the first two years is also designedaround project work and presentation skills.

For entry requirements, please see page 5.

The course may be extended to four yearsleading to a MMath (see page 16).

Next steps:Open Days:Visit www.city.ac.uk/engineering-maths/undergraduate/opendays

How to apply:See page 28.

Email enquiries:[email protected]

Phone enquiries:+44 (0) 20 7040 6050

Find out more at:www.city.ac.uk/engineering-maths/undergraduate

year one year two year three

Functions, vectors and calculus

algeBra

introduction toproBaBility and statistics

prograMMing

MatheMaticalcoMMunication

introduction toMicroeconoMics

introduction toMacroeconoMics

calculus and vector calculus

linear algeBra

coMplex variaBle

Finance and Financialreporting a

interMediate Micro/Macro econoMics

MatheMatical Methods

group project

one econoMics options

Modules

options*

MathsDynamicalSystemsReal AnalysisAppliedMathematicsNumericalMathematics

options*

MathsDiscreteMathematicsDifferentialEquations for FinanceFluid DynamicsMathematicalBiologyGroups andSymmetry

Finance Introduction to FinancialDerivativesCorporateFinanceInternationalFinance

EconomicsLabourEconomicsEconomicsof AddictionDevelopmentEconomics

*These are indicative and not the complete list.

one MatheMatics option

two Finance options

two MatheMatics options

Page 8: Mathematics Undergraduate Brochure

Next steps:Open Days:Visit www.city.ac.uk/engineering-maths/undergraduate/opendays

How to apply:See page 28.

Email enquiries:[email protected]

Phone enquiries:+44 (0) 20 7040 6050

Find out more at:www.city.ac.uk/engineering-maths/undergraduate

BSc Mathematical Science with Statistics

This course gives a general introduction to Mathematics but with particularemphasis on those aspects concerned with Statistics.

12

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

13

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

course overviewThis course has much in common with the BSc Mathematical Science, the maindifference being a greater emphasis onStatistics. The mathematical focus is as forMathematical Science, while the Statisticscomponent covers a range of topics inModern Statistics, with a particular focus on applied topics in Business and Finance.The majority of the Statistics options are taken from Cass Business School.

Students in this course acquire a similar setof skills as in the BSc Mathematical Scienceand have gone on to work in a similar rangeof careers. The extra emphasis of the courseon Statistics provides a particularly goodstarting point for any jobs involving thestatistical analysis of large sets of data, as may be found in Marketing, Insuranceand particular areas of Finance.

The first year of the course is devoted to corematerial, and is similar to the MathematicalScience first year, but with a greater emphasison statistics. At the end of the first year it is possible for students to change course toMathematical Science if they so wish. In thesecond and third year the proportion of thecourse that is core decreases, and studentscan chose from an increasing range ofoptions. The proportion of time devoted to the various subjects is indicated in theadjacent table, together with a selection of the options available in each year.

A distinctive feature of the course is the finalyear group project, which provides studentswith the opportunity to write a technicalreport and give individual presentations.The summer teaching term in the first twoyears is also designed around project workand presentation skills.

For entry requirements, please see page 5.

The course may be extended to four yearsleading to a MMath (see page 16).

year one year two year three

Functions, vectors and calculus

algeBra

proBaBility and statistics 1

prograMMing

MatheMaticalcoMMunication

coMputational MatheMatics

calculus and vector calculus

linear algeBra

coMplex variaBle

stochastic Models

proBaBility and statistics 2

Modules

options*

DynamicalSystemsReal AnalysisAppliedMathematicsNumericalMathematics

options*

MathsDiscreteMathematicsDifferentialEquations forFinanceFluid DynamicsMathematicalBiologyGroups andSymmetry

Statistics OperationalResearchExtreme EventStatisticsStatistics andProbabilityModelling forInsurance

*These are indicative and not the complete list.

one MatheMatics option

MatheMatical Methods

group project

three MatheMatics options

two statistics options

Lucinda Thompson Mainland

“The course is a standardmathematics course, however itprovides a great level of choice in the final year, which stands out fromother universities. This means youcan choose elements which are based on practical aspects of thesubject which may make you moreemployable. The careers departmentat City has a really good track recordfor graduates finding work and has many contacts with the City.”

Page 9: Mathematics Undergraduate Brochure

Beata Kilkiewicz,Research Associate, IHS Screen Digest

“I work in a research company. My expertise lies in Central andEastern European advertisingmarkets. Communication skills and ability to think analytically werecrucial during my job interview. Now Iapply these skills at work, along withsome others, e.g. ability to work bothindependently and in a group, logicaland abstract thinking. I also use myknowledge of Macroeconomics andStatistics. I am very happy that Ichose City University London – notonly did I learn a lot, but also I metsome fantastic people and mostimportantly – I secured a position in the job market.”

BSc Mathematics and Finance

This course combines Mathematics with various aspects of Finance and Economics, and focuses particularly on Actuarial Science.

14

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

15

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

course overviewThis course is a little different in focus from the other degrees in Mathematics, as it is best regarded as a hybrid betweenMathematical Science and the BSc inActuarial Science offered by Cass BusinessSchool. The mathematical focus is as forMathematical Science, but the Financeaspects focus on the particular area ofFinance which is used in the actuarialprofession. There is a greater proportion of Finance (and a smaller proportion of Mathematics) than in any of the otherdegree programmes. As for the degree in Mathematical Science with Finance and Economics, the Finance and Economics modules are delivered by staff from Cass Business School and the Economics Department.

Students in this course acquire a core set of skills in Mathematical Science,together with the basics in ActuarialScience. This provides a particularly good starting point for a career in thefinancial sector, especially in the areas of risk assessment, insurance, and statistical finance. However, students have gone on to work in a similar range of careers both in the financial sector and beyond.

The first year of the course is devoted to corematerial, and is similar to the MathematicalScience first year, but with a greateremphasis on economics and actuarialscience. At the end of the first year it ispossible for students to change course to Mathematical Science or MathematicalScience with Finance and Economics if they so wish. In the second and third year the proportion of the course that is core decreases, and students can chose from an increasing range of options. Theproportion of time devoted to the varioussubjects is indicated in the adjacent table,together with a selection of the optionsavailable in each year.

A distinctive feature of the course is the finalyear group project, which provides studentswith the opportunity to write a technicalreport and give individual presentations.The summer teaching term in the first twoyears is also designed around project workand presentation skills.

For entry requirements, please see page 5.

The course may be extended to four yearsleading to a MMath (see page 16). Next steps:

Open Days:Visit www.city.ac.uk/engineering-maths/undergraduate/opendays

How to apply:See page 28.

Email enquiries:[email protected]

Phone enquiries:+44 (0) 20 7040 6050

Find out more at:www.city.ac.uk/engineering-maths/undergraduate

year one year two year three

Functions, vectors and calculus

algeBra

introduction toproBaBility and statistics

prograMMing

Finance and investMentMatheMatics a

introduction toMicroeconoMics

introduction toMacroeconoMics

calculus and vector calculus

linear algeBra

coMplex variaBle

Finance and Financialreporting a

Finance and Financialreporting B

MatheMatical Methods

group project

two Finance options

Modules

options*

DynamicalSystemsReal AnalysisAppliedMathematicsNumericalMathematics

options*

MathsDiscreteMathematicsDifferentialEquations forFinanceFluid DynamicsMathematicalBiologyGroups andSymmetry

Finance InvestmentGeneral InsuranceCorporate RiskManagementIntroduction to FinancialDerivatives

one MatheMatics option

Finance and investMentMatheMatics B

two MatheMatics options

diFFerential equations For Finance

*These are indicative and not the complete list.

Page 10: Mathematics Undergraduate Brochure

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

17

industrial placeMentsOur one year industrial placement schemeenables you to apply the skills and knowledgethat you have developed at University to manage real challenges in the workplace.

A year spent in industry is a valuable opportunity to develop your technical skills and businessknowledge and it can often lead to sponsorship and future graduate employment.

After the successful completion of your secondyear of study you can opt to undertake a period of paid work lasting between nine and twelvemonths. Salaries vary but you would typically be paid between £15,000 and £22,000 pro rata per year while on placement. You will then return to University to complete your studies.

We find that placement students return toUniversity with more maturity, motivation, and a much better understanding of key concepts, having applied them on placement. This often leads to the attainment of a higher class of degree.

Frequently askedquestionsWhat support is there for finding a placement? Our dedicated team ofplacement specialists, the Professional LiaisonUnit (PLU), have extensiveexperience in helpingstudents to secureplacement employmentacross a range of industries.

The PLU sources exclusiveopportunities with a widerange of employers as wellas advertising vacanciesfrom the major recruiters.Placements are notguaranteed, you will need to apply directly to companies that interest you.

The unit runs workshopsand one-to-one guidancesessions to prepare you for making successfulapplications and preparing for interviews.

What support is providedwhile I am on placement?Your personal tutor will meet with you twice during the year to help you to maximise yourprofessional and academicachievements and ensurethat you are undertakingproperly supervised work.

“Placement and internshipprogrammes were animportant source of freshtalent in 2009. 84.3% of AGRemployers converted someof their students or internsinto graduate recruits.”The AGR Graduate RecruitmentSurvey 2010 Summer Review

“Placement students weremore likely to be employedsix months after graduatingand to have higher salariesthan the average.”Attainment in higher education Erasmus andplacement students. HEFCENovember 2009/44

Employabilitythrough experience

Entry to the MMath isopen to all students whoachieve a 2:1 standard atthe end of their secondyear, and still allowsstudents the possibility to graduate at the end ofthe third year with a BSc.

entry requireMentsAll of our degree programmesinclude the option to transferat the end of the second year from the BSc to the MMath degree.

The MMath is a higher levelqualification that is particularlywell suited for students who are considering further study in Mathematics.

Students on the MMath degreestake additional, higher level,modules during their third andfourth years, while also taking thevarious modules available on thecorresponding BSc degree. TheMMath modules introduce studentsto a broad range of modern

mathematics: recent modules haveincluded Mathematical Biology,Integrable Systems, and Topology.There is also an individual projectin each of the two years, whichallows students to develop in detailtheir knowledge of a particular area of mathematics.

about MMath degrees in Mathematics

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SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

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Mathematics programmesprepare students for futureemployment by providingthem with key skills highlyvalued by employers. Our graduates are verysuccessful at findingemployment in a widerange of areas.

Students receive trainingin advanced mathematicaltechniques, learn to thinkabstractly and logicallyand to recast problems in a variety of fields inmathematical language.They are also givenopportunities to work in a group and to develop oral presentation skills.Finally, they receivespecialised careers advicethroughout their degree.

Many of our graduatessecure jobs in the financialsector. Some of thefinancial institutionsrecent graduates havegone on to work for are Lloyds TSB, KPMG,

Citigroup, Santander, TBS, Comerzbank andNatwest. Typical jobswithin the financial sectorhave included FinancialConsultant, InvestmentBanker, Customer ServiceOfficer, Sales Assistant and Customer Assistant.

Former students have also gone on to do finance-related work such asaccounting or bankingmanagement for othertypes of institutions.Recent examples includethe British Museum, The National Children’sBureau, the UK BorderAgency and a largenumber of retailers such as Orange, JD Sports or Sainsbury’s.

A significant number of graduates go on to dofurther study in the form of an MSc or a PhD in aMathematics related areaor to receive specialisttraining for particularprofessions. Among theMSc and PhD destinationswe find many Universities,including City itself,Oxford, University College London and theuniversities of Kent, toname but a few. Examplesof specialist training arethe PGCE (PostgraduateCertificate in Education),Chartered FinancialAnalyst and CharteredAccountant.

Gaurav Kalia2007 Graduate BSc Mathematic and Finance, FX trainee and CFA candidate

“After graduating and takingsabbatical as Student UnionPresident, I worked at the Bankof England and interned atDeutsche Bank in New Yorkbefore contracting at GoldmanSachs and Morgan Stanley. My advice to you is to apply –aim high and get involved withstudent life at University.”

Graduate careers

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SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMaticsSCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

talking about work placements

George SymeonidesIntern at Strategic Investmentand Risk Management, Legal & General InvestmentManagement

“The work experience at Legal & GeneralInvestment Management is an amazing experience. I am learning and gainingexperience by working onthe frontline of Financialmarkets but mostimportantly it is helpingme understand thatInvestment Management is what I really want to do.City University London isone of the few Universitiesto offer such a scheme andstudents should make themost of it. Taking a yearout is my number onerecommendation for anystudent in any field.”

Anneka RupareliaFinance Business Analyst(Intern), Harrods

“Located in the heart ofLondon, City UniversityLondon has excellent linksto major employers, andthis was one of the keyfactors that attracted me to study Mathematics here.The lecturers are alwayswilling to give you furthersupport with your studies,if required. The careersdepartment organise aseries of workshops andpresentations by leadingtop firms, and it wasthrough their great advicethat I was able to secure aplacement year at Harrodsas an Assistant BusinessAnalyst in their Financedepartment. I’m lookingforward to returning next year to complete my degree.”

Alena ShunkevichAnalyst, Barclays Capital

“The main reasons I chose City University London to readMathematics were its strong links with the industry and excellentgraduate employment statistics.However, I have found much more than I expected: helpful and approachable lecturers, vibrant University life with a multitude of societies, events and new people to meet.

Since graduating I have joinedBarclays Capital graduate program in Technology and have done 2 half-year rotations in CreditCorrelation and CommoditiesDerivatives departments.

My work has been very varied,ranging from improving the stability of IT systems to calculating risks on exotic options. I am now about to join an Algorithmic Trading desk in Cash Equities as a permanent analyst, but I have enjoyed the University experience so much that I am planning to returnnext year as a Masters student.”

Page 12: Mathematics Undergraduate Brochure

Our research covers fourmain areas of pure andapplied mathematics briefly described below.Undergraduate students will experience someaspects of our researchactivity within the MMath programme.

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Research constitutes a very important part of the work carried out byacademics at the Centre for Mathematical Science. The research is oftenconducted in collaboration with researchers at other institutions and with PhD students based at City. It regularly leads to publications in journals of international prestige and to presentations at international conferences.

Research in Mathematics SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: research in MatheMaticsSCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: research in MatheMatics

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quantuM Field theory: The mathematical physics group focuses onquantum mechanics, quantum field theory and string theory. The distinguishing feature of the mathematical physics group is its strongexpertise on integrable systems.

MatheMatical Biology: The Mathematical Biologygroup uses game theory and related mathematicalmethods to model biologicalpopulations. Key areasinclude multi-player game theory, evolutionarymodels on graphs, and the modelling of specificbehaviours such askleptoparasitism andevolutionary signallingstrategies in response to predators.

Fluid dynaMics: The fluid dynamics groupconducts fundamentalresearch in appliedmathematics in areas of thermal convection,boundary layer theory,double diffusive convection,vortex flows, patternformation andmagnetohydrodynamics.Both analytical andcomputational methods areemployed, includingextensive use of techniquesbased on stability theoryand asymptotic analysis.

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algeBraicrepresentation theory: The representation theorygroup focuses on modernaspects of the representationtheory of finite groups,algebraic groups and relatedalgebras, drawing motivationfrom geometry, statisticalmechanics and string theory.

For more informationplease visit:www.city.ac.uk/engineering-maths/research/mathematics-centre

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SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

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dr Marcos alvarezDr Alvarez’s research lies in the areas ofMathematical Physics,Quantum Field Theory andStatistical Mechanics. He is especially interested in effects which depend on the topology of space, such as the existence ofmagnetic fluxes and theirquantisation. His researchin Statistical Mechanicsincludes the application of algebraic methods, in particular diagramalgebras, to the study ofexactly solvable models.He is also Exams Officer for the Centre forMathematical Science and coordinates examsmatters with ExternalExaminers, and with therest of the University.

proF Mark BrooMProfessor Broom appliesgame theory to themathematical modelling of biology, especially using the concept of theEvolutionarily StableStrategy (ESS). Hisresearch includes purelymathematical work on the theory of games in an evolutionary context,including multiplayergames and evolutionarygraph theory, and morespecific problems when a particular animalbehaviour or trait isconcerned, for examplefood stealing or the co-evolution of defenceand signalling behaviour.

dr olalla castro-alvaredoDr Castro-Alvaredo is amember of the QuantumField Theory researchgroup. She is an expert on a particular type of theories known asQuantum IntegrableModels. The main subjectof her research is thecomputation of certainfunctions known as formfactors and correlationsfunctions in particularmodels. These functionscarry information aboutmany physical propertiesof the models underinvestigation. Dr Castro-Alvaredo teaches variousfirst and second yearmathematics modulessuch as Programming,Calculus and DynamicalSystems. She is alsoadmissions tutor for Mathematics.

dr vincent caudrelierDr Caudrelier’s researchinterests lie in the field of mathematical physicscalled integrable systems.He uses a large variety oftechniques from quantummechanics, quantum field theory and algebra to study the effects ofboundaries and defects on such systems. Hecontributed to developnew theoretical methods to tackle these problems.He teaches variousmodules in Mathematics,mainly mathematicalmethods. He conveys hispassion for Mathematicsand is a firm believer inchallenging students tohelp them reach their true potential. He is also in charge of final year projects.

proF joseph chuangJoseph Chuang studiessymmetry and related ideasin pure mathematics. Hisresearch interests includethe representation theory of finite groups and relatedalgebras, homologicalalgebra and triangulatedcategories, and homotopyalgebras and operads. He currently lectures ongeometry, analysis anddifferential equations.

dr anton coxDr Cox carries out researchin algebraic Lie theory, anarea of pure mathematicswhich looks at howalgebraic objects representthemselves throughactions on other objects.His work has shown howthis approach can beextended to new familiesof algebras of interest inmathematics and physics.He is head of the Centre forMathematical Science, andlectures on a variety ofundergraduate modules.

dr Maud de visscherDr De Visscher’s expertiselies in the field of algebraicrepresentation theory, with a particular focus on algebraic structuresarising in Lie theory andStatistical Mechanics. Shelectures on various aspectsof Pure Mathematics, such as Logic, Set theoryand Group theory. She also coordinates allpersonal and professionaldevelopment activitieswithin the undergraduateprogrammes.

proF andreas FringProfessor Fring carries outresearch in various areaswithin MathematicalPhysics. His main field ofinterest is quantum fieldtheory with a particularfocus on integrable modelsin one time and one spacedimension. He also keepsan active interest in highenergy laser physics andmore recently in non-Hermitian Hamiltoniansystems. He lecturesvarious courses within theMathematics programmeand is assistant dean for research of the Schoolof Engineering andMathematical Sciences.

Meet the Mathematics academic team

Page 14: Mathematics Undergraduate Brochure

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: internationalSCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

We offer an internationally focused learning environment. This is primarily achieved by establishing flagship partnerships in teaching and research with appropriate high profile international organisations in countries and regions of strategic importance.The School has extensive partnerships with high profile overseas institutions engaging in a wide range of collaborative activities in undergraduate taughtprogrammes, Continuing Professional Development, joint research, student and staff exchanges.

These include working with key partners in China, India, Russia, Korea, USA, Hong Kong and most of the EU countries. Such links provide students with excellentopportunities to take part in international exchangeprogrammes, placement opportunities, joint research and other similar provisions that are becoming vitallyimportant for 21st century graduates operating in an increasingly global employment market.

a truly international outlook

dr yang-hui he Dr He studies someexciting topics at theinterface betweentheoretical physics andmathematics, especiallythe cross-fertilization ofstring theory and gaugetheory with algebraicgeometry and numbertheory. He is also anadvanced fellow of the UK Science andTechnology FacilitiesCouncil and holds theChangjiang visiting ChairProfessorship at NankaiUniversity, China.

dr oliver kerrDr Kerr’s research lies inthe field of theoretical fluiddynamics. His primaryinterest lies in double-diffusive convection-predicting how fluids move when driven by variationsin heat and salt. He is alsointerested in more generalproblems in theoreticalfluid dynamics, such asinvestigating the stabilityof various flows. Inparticular he is interestedin the stability of flowswhich are evolving in time.

dr lara silversDr Silvers conductsresearch in the area ofmagnetohydrodynamics.Her research primarilyinvolves usingmathematical andcomputational techniques to deepen our understanding of theinside of stars, such as the Sun, and she currentlyhas a PhD student workingwith her in this area. Dr Silvers is one of theundergraduate personaltutors in the Centre forMathematical Sciencesand she is the lecturer forsome of the undergraduatemathematics modules. She also supervises 3rd year and 4th yearundergraduate studentprojects on a variety of different topics.

dr Bogdan steFanskiDr Stefanski is an EPSRCAdvanced Fellow andUniversity Lecturer, havingarrived at City in 2009 from MIT. His research isfocused on a number ofareas within string theory.Most recently he has been interested in anequivalence betweenquantum gravity theoriesand quantum gaugetheories (theories similar to those describing nuclearinteractions), and the way string theory explains these dualities.

Meet the Mathematics academic team

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SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: student liFe

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central locationWe are located in the heartof London, close to thecapital’s leading financial,legal, media and medicalinstitutions. You can takeadvantage of London’sfamous cultural, sportingand social opportunities.

student centreOur Student Centre offerspractical help with yourfinances, learning, healthand housing. They canalso help with advice onyour course, career andUniversity facilities.

Visit www.city.ac.uk/studentcentre for more information

sports activitiesWe support a range of sporting activitiesincluding badminton,basketball, cricket,fencing, football, hockey, netball, rugby,squash and table tennis.

accoMModation Whether you want to live in halls of residence or private rentedaccommodation, ourStudent Centres housingadvisers can help.

For further details please visitwww.city.ac.uk/accommodation

liBrary servicesThe main University library occupies five floorsin the NorthamptonSquare building. Ourlibrary stock is more than280,000 volumes and you can borrow up to 15 books for as long as 3 weeks.

Please seewww.city.ac.uk/library

state-oF-the-artFacilitiesWe recently undertook a multi-million poundproject to refit all ourlecture theatres with state-of-the-art audio-visual equipment and provide over 1,000Windows PCs, 200 Apple Macs and 57 Linux workstations.

careers servicesOur professional networkshelp to build your skillsand gain industry insights.You can discuss yourcareer plans in one-to-oneappointments and exploreour extensive careersresources includingcomputer-aided guidancepackages and aptitudetesting systems. In theautumn and spring termsmajor employers visit the University to givepresentations and run skills sessions.

Find out more atwww.city.ac.uk/careers

ALUMNIWhen you embark on yourcourse with us, you begin a lifelong association withboth the University and its wider community of former students.

Find more information atwww.city.ac.uk/alumni

a great studentexperienceWe seek to provide highquality equipment andfacilities to enhance your learning experience. The Students’ Unionorganises a wide range of social events to keep you entertained and wehave over 50 clubs andsocieties which cater for a broad range of interests.If that isn’t enough theLondon nightlife isfamous, there are manyvenues to visit, some ofwhich are discounted or free for students.

Student life at City

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contacting usYou can contact ourUndergraduate Admissionsteam as follows:

undergraduateadMissions teaMProgrammes OfficeSchool of Engineering andMathematical SciencesCity University LondonNorthampton SquareLondon EC1V 0HBUnited Kingdom

T: +44 (0) 20 7040 6050 E: [email protected]

If you are enquiring about the progress of anapplication you have madethrough UCAS, pleaseremember to provide yourUCAS application number.

additionalinForMation You can find moreinformation on ourundergraduate web page at www.city.ac.uk/engineering-maths/undergraduate

Map and contacts

CITYUNIVERSITYLONDON

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: contacts

disclaiMerThe information contained in this brochure is correct at the time of going to press (October 2011). The University reserves the right, arising fromunforeseen events or circumstances beyond our control, to add to or remove courses, and to make changes in regulations, syllabuses, courseoptions, timetables, modules and fees etc, without prior notice. Complaints concerning the accuracy of information provided by the University inthis brochure and in related publications should be made to the Academic Registrar. Any persons who feel their complaints have not been dealtwith satisfactorily may write to the Quality Assurance Agency for Higher Education.

General information about the University including fees, general entry requirements, accommodation and social and welfare services, is given in the undergraduate prospectus, which can be viewed or ordered online on the University’s website www.city.ac.uk/study.

design: pslondonwww.pslondon.co.uk

You can apply through your school or college using the UCAS Apply system at www.ucas.com/students/apply/

when to applyApplications for entry September 2012should arrive between 1 September 2011 and 15 January 2012.

When your application has been acknowledged by UCAS you will receive a personal identificationnumber so that you can access your records via ‘Track’ at www.ucas.com/students/track/ on the UCAS website.

enquiriesIf you have any questionsabout the admissionsprocess please contactthe UndergraduateAdmissions Office:

T: +44 (0) 20 7040 6050 E: [email protected]

Further inForMation• You can apply for up

to five universities

• Take care when entering your course code

• UCAS has an ‘invisibilitychoices’ policy, meaning eachuniversity can only see theirentry and not those of otheruniversities you have chosen

• Submit your completedapplication to UCAS with a £21 application fee

• If you only wish to apply for City you can make a single choice application at a reduced rate of £11

• The University code for CityUniversity London is C60

ucas contact detailsUniversities and CollegesAdmissions Service (UCAS)www.ucas.com

Callers in the UK T: 0871 468 0468

Callers outside the UK T: +44 (0) 871 468 0468

internationalstudentsWe have put together somepractical information tohelp you when planningyour arrival to the UK and City University London please visit www.city.ac.uk/international/international-students

scholarships Bursaries and awardsCity University London has a range of scholarshipsand prizes available forundergraduate students.Some of these aregenerously funded bycharitable foundations,former students, and otherbodies and can be appliedfor each academic year.

Visit www.city.ac.uk/engineering-maths/scholarships for more information.

Financial supportThere are a range ofoptions available to you to help you cover yourliving costs while youstudy at City UniversityLondon. For informationon Government support as well as other potentialsources of funding please visitwww.city.ac.uk/study

How to apply to City

Applications fordegree coursesmust be madethrough UCAS.

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: next steps

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