SujitsMathsTalks _ www.bit.ly/taiho123

Mathematics, Actuarial Science and Statistics University of Southampton Dr Sujit Sahu School of Mathematics School of Mathematics • Large student centred school • Expertise across mathematical physics, applied mathematics, operational research, pure mathematics and statistics • Active links with business, industry, science and technology • A centre for interdisciplinary research and teaching • Large graduate school with three thriving MSc programmes and many research students Mathematics students • 550 MMath & BSc students • 85 MSc students • 48 PhD students Teaching & Assessment • Lectures • Tutorials • Supervisions • Computing Labs • Consolidation Class • Exams • Coursework • Projects • Presentations • In-class tests • Private study Course structure Topology Hyperbolic Geometry Simulation and Queues Mathematical Programming Design and Analysis of Experiments Algebra Number Theory and Cryptography Analysis Relativity, Black Holes and Cosmology Calculus Differential Equations Gravitational Waves Geometry Mathematical Modelling Metric Spaces Probability and Statistics Applications of Mathematics in Biology Mathematical Finance Rings and Fields Optimization Differential Geometry and its Applications Complex Function Theory Groups and Symmetry Programmes of Study • Single Honours: • Mathematics for Arts: – BSc: Mathematics – Mathematics with Music – MMath: Mathematics – Mathematics and French, German, Spanish – BSc: Mathematical Studies • Mathematics for Business: – Mathematics with: • Mathematics for Science: – Actuarial Science, Economics, Finance – Mathematics with: – Management Sciences, Statistics, – Astronomy, Biology – Operational Research, Computer Science– Physics, Computer Science Some money making ideas with Mathematics • Google search • Linear Algebra • Pricing financial options • Differential Equations • iPod and MP3 • Analysis • “Green logistics” • Formula pit stop strategies • Financial Portfolios • Encryption of credit cards • Airline pricing • Operational Research • Optimization • Statistics • Number Theory • Linear Programming Mathematics with Actuarial Science • Our most popular programme! • Lets learn a bit more about it! Actuarial Science Why choose Mathematics with Actuarial Science? • Actuarial Studies focus on the study of Mathematics and Statistics integrated with: • Economics, • Finance, • Demography and • Actuarial Science • For most people the excellent career prospects are the main reason for choosing Mathematics + Actuarial Science EXAMPLES OF ACTUARIAL SCIENCE QUESTIONS • Mr Patel is 65 and had a heart attack years ago – how much should his travel insurance to the USA for weeks cost? • How many children in India will require elementary schooling in 2015? • Could health insurance for my pet cat be included free as part of my house insurance? • How much will it cost if it rains at the Olympics in 2012? • How much funding should the Indian Government put aside for building new roads for the next 10 years? Actuarial Professional Examinations: CT stage CT1 Financial Mathematics CT2 Finance and Financial Reporting CT3 Probability and Mathematical Statistics CT4 Models CT5 Contingencies CT6 Statistical Methods CT7 Economics CT8 Financial Economics Agreement with the IoA It has been agreed with the Institute of Actuaries that students achieving a suitable performance in certain units will get an exemption from the corresponding subject in the professional examinations A maximum of exemptions out of the CT stage units is possible THE SOUTHAMPTON PROGRAMME OFFERS ALL EXEMPTIONS This means that after completing our programme you would be over half way to qualifying as an actuary What about Statistics? “All knowledge is, in final analysis, history All sciences are, in the abstract, mathematics All judgements are in, in their rationale, statistics.” Prof C R Rao What is Statistics? • Statistics is the scientific application of mathematical principles to the collection, analysis, and presentation of numerical data, and the interpretation of the results • Statisticians provide crucial guidance in determining what information 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 What Do Statisticians Do?  Produce trustworthy data  Analyse data to make their meaning clear  Draw practical conclusions from data Principles of 4-R’s: Reading, wRiting, aRithmetic and  “Reasoning under Uncertainty” Job Characteristics • Use data to solve problems in a wide variety of fields • Apply mathematical and statistical knowledge to social, economic, medical, political, and ecological problems • Work individually and/or as part of an interdisciplinary team • Travel to consult with other professionals or attend conferences, seminars, and continuing education activities • Advance the frontiers of statistics, mathematics, and probability through education and research • If you enjoy any of these, a career in statistics may be right for you! Examples of Statistics Careers  Medicine Search for improved medical treatments based on carefully designed experiments  Environment Produce data on the abundance and location of plants and animals, on the spread of pollution from its sources, and on the possible effects of changes in human activities  Industry Maintain quality of goods and services and the efficiency with which they are produced and delivered  Government Surveys How many people are unemployed this month? What we export to China, and what we import? Are rates of violent crime increasing or decreasing? What I as a Statistician? • Sulfate pollution map of the Eastern US in 2001 Annual map for the North Atlantic Ocean Scholarships and Bursaries Golden Jubilee Scholarships • Two scholarships comprising the full value of tuition fees for the normal duration of study in the School of Mathematics School Scholarships •Scholarships of up to £5,000 per annum will be awarded automatically to any international student who is accepted on an undergraduate degree Golden Jubilee Scholar programme These scholarships will be awarded Pradeep Subedi (06on the basis of examination performance: more 09) than 80% in XII exams What happens to our graduates? Mean Starting Salaries in Mathematics Southampton £21,948 Russell Group £20,688 Others £18,481 * Source: HESA 2006 & Soton data Southampton Mathematics nd Department is in the Country for graduate employment months after graduation (Better than Bristol, Cambridge, Durham, Edinburgh, Imperial, Nottingham, Oxford and Warwick) www.unistats.com (2008) Destinations Academia, Accountancy, Actuarial, Aircraft Design, Banking, Brokerage, City Quant, Crime Analysis, Computer Game Design, Financial Analysis, Fusion Research, (ex-) Home Secretary , IT, Logistics, Management Consultancy, Marketing, Medical Research, Merchant Banking, Meteorology, Oceanography, Oil Industry, Pharmaceuticals, Security Service Analysis, Tax, , Simulation, Statistician, Systems Teaching, Transport Planner, Underwriter, Uranium production What we offer • A student centred community • A caring staff, committed to teaching and sustaining an active learning environment • An international research programme inspiring a leading edge curriculum • An extremely broad undergraduate curriculum, feeding into a range of postgraduate opportunities • A track record of success in graduate employment and training