su jits maths talks

8/18/2019 Su Jits Maths Talks

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Mathematics, Actuarial

Science and StatisticsUniversity of Southampton

Dr Sujit SahuSchool of Mathematics


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2

School of Mathematics

• Large student centred school

• Expertise across mathematicalphysics, applied mathematics,

operational research, puremathematics and statistics

• Active lins !ith "usiness,industry, science and technology

• A centre for interdisciplinaryresearch and teaching

• Large graduate school !ith threethriving MSc programmes andmany research students


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#

Mathematics students

$ %%& MMath ' (Sc students

$ )% MSc students

$ *) +hD students


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*

eaching ' Assessment

$ Lectures

$ utorials

$ Supervisions

$ -omputing La"s

$ -onsolidation -lass

$ +rivate study

$ Exams

$ -ourse!or

$ +rojects

$ +resentations$ .n/class tests


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%

-ourse structure

Alge"ra Analysis

-alculusDifferential E0uations

1eometry Mathematical Modelling

+ro"a"ility and Statistics

Rings and Fields

Topology

Relativity, Black Holes and Cosmology

Number Theory and Cryptography

Simulation and Queues esign and !nalysis o" #$periments

%ptimi&ation

'athematical Finance

!pplications o" 'athematics in Biology

'etric Spaces

Hyperbolic (eometry

(roups and Symmetry

Comple$ Function Theoryi)erential (eometry and its !pplications

(ravitational *aves

'athematical +rogramming


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+rogrammes of Study

$ Single 3onours4

5 (Sc4 Mathematics

5 MMath4 Mathematics

5 (Sc4 Mathematical Studies

$ Mathematics for (usiness4

5 Mathematics !ith45 Actuarial Science, Economics, 6inance

5 Management Sciences, Statistics,

5 7perational 8esearch, -omputer Science

$ Mathematics for Arts4

5 Mathematics !ith Music

5 Mathematics and 6rench, 1erman, Spanish

$ Mathematics for Science4

5 Mathematics !ith4

5 Astronomy, (iology

5 +hysics, -omputer Science


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Some money maing ideas !ith Mathematics

$ 1oogle search

$ +ricing financial options

$ i+od and M+#

$ 91reen logistics:

$ 6ormula ; pit stop strategies

$ 6inancial +ortfolios$ Encryption of credit cards

$ Airline pricing

$ Linear Alge"ra

$ Differential E0uations

$ Analysis

$ 7perational 8esearch

$ 7ptimi


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Mathematics !ith Actuarial Science

$ 7ur most popular programme>

$ Lets learn a "it more a"out it>


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!ctuarial Science

*hy choose 'athematics ith !ctuarial Science-

. !ctuarial Studies "ocus on the study o" 'athematics andStatistics integrated ith/

. #conomics,

. Finance,

. emography and

. !ctuarial Science

. For most people the e$cellent career prospects are themain reason "or choosing 'athematics 0 !ctuarial Science


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E?AM+LES 76 A-UA8.AL S-.E=-E

@UES.7=S

$ Mr +atel is % and had a heart attac # years ago 5 ho! much shouldhis travel insurance to the USA for 2 !ees cost

$ 3o! many children in .ndia !ill re0uire elementary schooling in 2&;%

$ -ould health insurance for my pet cat "e included free as part of myhouse insurance

$ 3o! much !ill it cost if it rains at the 7lympics in 2&;2

$ 3o! much funding should the .ndian 1overnment put aside for "uilding ne! roads for the next ;& years


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ES B7U8SELCES

$ Should health insurance "e cheaper or more expensive for smoers

MU-3 -3EA+E8

$ 3o! old do you have to "e to have a %&F chance of dying in the next months

;

$ .f you are )& !hat chance do you have of living until );

GHF


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3o! much do Actuaries earn

$ Lots>

$ ypical Actuarial salaries start at a"out I&,&&& J8s *) LahK

$ Many Actuaries earn !ell over I;%&,&&& J8s ;2 -rore>K

$ he profession is very carefully regulated

$ .t also has a high professional profile

$ And high professional standards

$ /Actuaries are needed !orld!ide


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Does .ndia need more Actuaries

$ here are a"out &&& professional actuaries for croreU citi


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op ten su"jects studied "y ne! entrants to the Actuarial profession in 2&&*/H

Mathematics #%&

Actuarial Science ;G)

Mathematics and other )G

Mathematics and Statistics %#

Economics *#

Statistics 2G

+hysics #;

Actuarial Maths and Statistics #&

Actuarial Science and Statistics 2

Mathematical Science 2#


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3o! does the system of exemptions !or

$ 7ne of the major attractions of a Mathematics !ith ActuarialScience programme is the 9exemptions:

$ he professional examinations to "ecome a fully/0ualified

Actuary are long and difficult

$ If a degree programme grants exemptions from some ofthese then it may be possible to qualify as an Actuary muchquicker than normal

$ A Southampton Maths !ith Actuarial Science graduate canearn the maximum num"er of exemptions>


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#$emptions "rom !ctuarial +ro"essional

#$aminations The ne e$amination structure consists o"/

$ 1 e$ams at Core Technical stage 2CT3 to CT14

$ 5 e$ams at Core !pplications stage 2C!3 to C!54

$ 6 e$ams at Specialist Technical stage 26 "rom ST3 to ST74

$ 3 e$am at Specialist !pplication stage 23 "rom S!3 to S!74

! total o" 38 e$aminations must there"ore be passed to 9uali"yas an !ctuary:

#$emption "rom some o" the Specialist e$ams by undertaking a course o" study or a research dissertation as an alternative isno possible:


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!ctuarial +ro"essional #$aminations/

CT stageCT1 Financial Mathematics

CT2 Finance and Financial Reporting

CT3 Probability and Mathematical Statistics

CT4 Models

CT5 Contingencies

CT Statistical Methods

CT! "conomics

CT# Financial "conomics


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Agreement !ith the .oA

;t has been agreed ith the ;nstitute o" !ctuaries thatstudents achieving a suitable per"ormance in certain units

ill get an e$emption "rom the corresponding sub


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hat a"out Statistics

“All knowledge is, in fnal analysis,history .

All sciences are, in the abstract,mathematics. All judgements are in, in their rationale,

statistics.”

+ro" C: R: Rao


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hat is Statistics

$ Statistics is the scientific application of mathematical principles tothe collection, analysis, and presentation of numerical data, and

the interpretation of the results.

$ Statisticians provide crucial guidance in determining whatinformation is reliable and which predictions can be trusted. They

often help search for clues to the solution of a scientific mystery

and sometimes keep investigators from being misled by false

impressions.$ Many economic, social, political, and military decisions cannot be made without statistical techniques, such as the design of

experiments to gain government approval of a newly

manufactured drug.


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What Do Statisticians Do?

+roduce trust!orthy data

Analyse data to mae their meaning clear

Dra! practical conclusions from data

+rinciples of */8Ns4 8eading, !8iting, a8ithmetic and

98easoning under Uncertainty:


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Job Characteristics

$ Use data to solve pro"lems in a !ide variety of fields

$ Apply mathematical and statistical no!ledge to social, economic, medical,political, and ecological pro"lems

$ or individually andOor as part of an interdisciplinary team

$ ravel to consult !ith other professionals or attend conferences, seminars,and continuing education activities

$ Advance the frontiers of statistics, mathematics, and pro"a"ility through

education and research

$ If you en,oy any of these- a career in statistics may be right for you.


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Examples of Statistics -areersMedicine

Search for improved medical treatments "ased on carefully designed experiments

Environent

+roduce data on the a"undance and location of plants and animals, on the spread ofpollution from its sources, and on the possi"le effects of changes in human activities

!ndustry

Maintain 0uality of goods and services and the efficiency !ith !hich they areproduced and delivered

"overnent Surveys3o! many people are unemployed this month hat do !e export to -hina, and

!hat do !e import Are rates of violent crime increasing or decreasing

Mar#et $esearch

Are consumer tastes in television programs changing hat are promising locations

for a ne! retail outlet


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hat do . do as a Statistician

$ Sulfate pollution map of the Eastern US in 2&&;


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Annual map for the =orth Atlantic 7cean


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Mean Starting Salaries in Matheatics

Southampton I2;,G*)

8ussell 1roup I2&,))

7thers I;),*);

* Source: HESA 2006 & Soton data


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Southampton MathematicsDepartment is 2nd in the

-ountry for graduateemployment months after

graduationwww.unistats.com (2008)

2Better than Bristol, Cambridge, urham, #dinburgh, ;mperial, Nottingham, %$"ord and *arick4

http://www.unistats.com/http://www.unistats.com/


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Destinations

Academia, Accountancy , Actuarial, Aircraft Design,(aning, (roerage, -ity @uant, -rime Analysis, -omputer 1ame Design,

6inancial Analysis, 6usion 8esearch, Jex/K 3ome Secretary , ., Logistics,

Management -onsultancy , Mareting, Medical8esearch, Merchant (aning, Meteorology , 7ceanography , 7il .ndustry ,

+harmaceuticals, Security Service, Simulation, Statistician, Systems

Analysis, ax, eaching, ransport +lanner, Under!riter,Uranium production


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hat !e offer

$ A student centred community

$ A caring staff, committed to teaching and sustaining an

active learning environment

$ An international research programme inspiring a leadingedge curriculum

$ An extremely "road undergraduate curriculum, feedinginto a range of postgraduate opportunities

$ A trac record of success in graduate employment andtraining

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