Transcript Information Session 2012

School of Mathematics, Applied
Mathematics, and Statistics
Orientation 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 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
• …
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
data
Model
Equations
•Exact
Solutions •Asymptotic
•Numerical
Interpretation
Applied Mathematics
1st 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 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,...
Photonics and optical ICT
Epidemiology, toxicology
Ecology
Applied Mathematics
Mathematical tools
• Chaos, complexity and fractals
• Stochastic dynamics
• Asymptotic methods
• Optimisation and Control
Applied Mathematics
Nonlinear Dynamics
The butterfly attractor
dx
 10 y  10 z
dt
dy
 28 x  y  x z
dt
dz
 x y  83 z
dt
“Does the flap of a butterfly’s wings in Brazil set
off a tornado in Texas?” Ed Lorenz
Applied Mathematics
The effect of uncertainty
Erdős-Rényi random networks
Scale-free networks
Financial Mathematics and
Actuarial Science
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
Actuarial Science
The established profession of
Actuary
Exemptions
FMAS degree
Examinations
Institute of
Actuaries
(Professional qualification)
Mathematical Sciences at UCC
26
FINANCIAL MATHEMATICS
mathematical techniques
(new and old)
modern financial applications:
investment banking
pension fund and asset management
risk analysis
Mathematical Sciences at UCC
27
The Mathematics Involved
Actuarial
Science
Financial
Applications
• Statistics
• Data Analysis
• Probability Theory
• Analysis
• Applied Mathematics
• Computational
methods
Mathematical Sciences at UCC
28
Graduates in FMAS:
where did they go?
Others
Research
Teaching
Trading
Investment & Banking
Actuarial & Stat Consultancy
Insurance & Pensions
0
5
10
15
20
25
30
35
40
45
50
Data compiled by Mr Damian Conway, Department of Statistics based on
Graduates from 2006 to 2011.
Questions & Answers