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

Degree Programmes

1. Mathematical Sciences

2. Financial Mathematics and Actuarial Science

3. Mathematics and Physics (Joint Honours)

4. Applied Mathematics and Physics (Joint Honours)

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

1. Mathematical Sciences

Third and Fourth Year OptionsMajoring 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• …

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

2. FMAS

Second Year: • 5 credits AM + 20 credits MA + 20 credits MF

+ 15 credits ST

• No choice offered in second year

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

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

Careers

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.

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

Applied Mathematics

Applied Mathematics

Model

Equations

Solutions

Interpretation

•Exact•Asymptotic•Numerical

data

Applied Mathematics1st year: Introduction to Mechanics

• Point mechanics• Fluid mechanics• Partial differential equations

Applied Mathematics

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

Wave energy

Applied Mathematics1st year: Mathematical Software Introduction to Mathematical Modelling

• Computer modelling and programming• Computational techniques• Numerical techniques• Mathematical modelling – for biological and environmental sciences, medicine, photonics,...

Photonics and optical ICT

Epidemiology, toxicology

Ecology

Applied Mathematics

Mathematical tools

• Chaos, complexity and fractals• Stochastic dynamics• Asymptotic methods• Optimisation and Control

Applied MathematicsNonlinear Dynamics

83

10 10

28

dxy z

dtdy

x y x zdtdz

x y zdt

“Does the flap of a butterfly’s wings in Brazil set off a tornado in Texas?” Ed Lorenz

The butterfly attractor

Applied Mathematics

Scale-free networksErdős-Rényi random networks

The effect of uncertainty

Financial Mathematics and Actuarial Science

Mathematical Sciences at UCC 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 26

Actuarial Science

The established profession of Actuary

Institute of Actuaries

(Professional qualification)

Examinations

FMAS degree

Exemptions

Mathematical Sciences at UCC 27

FINANCIAL MATHEMATICSmathematical techniques

(new and old)

modern financial applications:investment banking

pension fund and asset managementrisk analysis

Mathematical Sciences at UCC 28

The Mathematics Involved

ActuarialScience

• Statistics • Data Analysis

Financial Application

s

• Probability Theory• Analysis• Applied Mathematics• Computational methods

Graduates in FMAS: where did they go?

Data compiled by Mr Damian Conway, Department of Statistics based on Graduates from 2006 to 2011.

Questions & Answers