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School of Mathematics, Applied Mathematics, and Statistics Orientation Session, March 5, 2012

School of Mathematics, Applied Mathematics, and Statistics Orientation Session, March 5, 2012. Degree Programmes. Mathematical Sciences Financial Mathematics and Actuarial Science Mathematics and Physics (Joint Honours) Applied Mathematics and Physics (Joint Honours).

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School of Mathematics, Applied Mathematics, and Statistics Orientation Session, March 5, 2012

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  1. School of Mathematics, Applied Mathematics, and StatisticsOrientation Session, March 5, 2012

  2. Degree Programmes • Mathematical Sciences • Financial Mathematics and Actuarial Science • Mathematics and Physics (Joint Honours) • Applied Mathematics and Physics (Joint Honours)

  3. 1. Mathematical Sciences Second Year Options • 25 credits AM + 25 credits MA + 10 credits ST • 25 credits AM + 15 credits MA + 20 credits ST • 15 credits AM + 25 credits MA + 20 credits ST • 20 credits AM + 20 credits MA + 20 credits ST

  4. 1. Mathematical Sciences Third and Fourth Year Options Majoring in one subject • 30 credits MA + at least 10 credits of AM & ST • 30 credits AM + … • 30 credits ST + … Majoring in two subjects • 30 credits MA + 30 credits ST • …

  5. Important rules • In order to major in any subject in Third and Fourth year, you have to take at least 20 credits of that subject in Second year • In order to major in any subject in Fourth year, you have to major in that subject in Third year

  6. 2. FMAS Second Year: • 5 credits AM + 20 credits MA + 20 credits MF + 15 credits ST • No choice offered in second year

  7. FMAS cont’d Third and Fourth Year: • Mix of AM/MA/MF/ST and electives • Careful choice here can maximise chances for actuarial exemptions. • Alternatively, can take more AM/MA/ST modules useful for Financial Mathematics

  8. 3+4. Joint Honours with Physics Second, Third and Fourth Years: 30 credits of PY modules + 30 credits AM or 30 credits of MA modules No choice of AM/MA modules. Choice of PY in Third and Fourth years. Must have taken PY1052+PY1053 to take these degrees

  9. Careers

  10. Careers for Mathematical Sciences/FMAS/JH Graduates • Our graduates are employed in a wide variety of careers. • These typically involve the use of the skills developed by the graduates in: problem solving, analysis, mathematical modelling, computing, data analysis, and communication.

  11. Careers for Mathematical Sciences Graduates • Some area of employment of recent graduates: • information and communication technologies • software/computing • engineering industries (e.g., electronics, aerospace, automobile) • geophysical prospecting • management consulting • pharmaceutical and biotechnology industries • government (official statistics, weather forecasting) • research (scientific, social, economic, engineering, computing, industrial, fisheries) • teaching in secondary schools and universities • financial institutions

  12. Applied Mathematics

  13. Applied Mathematics Equations Solutions Interpretation data Model • Exact • Asymptotic • Numerical

  14. Applied Mathematics • 1st year: Introduction to Mechanics • Point mechanics • Fluid mechanics • Partial differential equations

  15. Applied Mathematics “Mathematics is the language of Nature” (and of science and technology and finance...)

  16. Wave energy

  17. Applied Mathematics • 1st year: Mathematical Software • Introduction to Mathematical Modelling • Computer modelling and programming • Computational techniques • Numerical techniques • Mathematical modelling – for biological and • environmental sciences, medicine, photonics,...

  18. Photonics and optical ICT

  19. Epidemiology, toxicology

  20. Ecology

  21. Applied Mathematics • Mathematical tools • Chaos, complexity and fractals • Stochastic dynamics • Asymptotic methods • Optimisation and Control

  22. Applied Mathematics Nonlinear Dynamics The butterfly attractor “Does the flap of a butterfly’s wings in Brazil set off a tornado in Texas?” Ed Lorenz

  23. Erdős-Rényi random networks Scale-free networks Applied Mathematics The effect of uncertainty

  24. Financial Mathematics and Actuarial Science

  25. Actuarial Science What is an Actuary? “An actuary is someone who has a thorough grounding in economics, statistics, and the mathematics of finance, and who uses these skills to solve business problems.” Actuarial Examinations – 8 Core Technical Stage Mathematical Sciences at UCC 25

  26. Actuarial Science The established profession of Actuary Exemptions Examinations FMAS degree Institute of Actuaries (Professional qualification) Mathematical Sciences at UCC 26

  27. FINANCIAL MATHEMATICS mathematical techniques (new and old) modern financial applications: investment banking pension fund and asset management risk analysis Mathematical Sciences at UCC 27

  28. The Mathematics Involved Actuarial Science • Statistics • Data Analysis • Probability Theory • Analysis • Applied Mathematics • Computational methods Financial Applications Mathematical Sciences at UCC 28

  29. Graduates in FMAS: where did they go? Data compiled by Mr Damian Conway, Department of Statistics based on Graduates from 2006 to 2011.

  30. Questions & Answers

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