MATU9MM - Mathematical Modelling
SCQF Level: 10
Course Co-ordinator: Prof Rachel Norman
Lecturers: Prof Rachel Norman
Course Prerequisite: MATU9M4
SCQF Credit Value: 10 (1 module)
This module will be motivated by real life examples from Biology and Medicine. In particular, different mathematical modelling techniques will be studied and applied.
Students should be able to:
- Analyse the long term behaviour of sets of nonlinear differential equations; write down and analyse the Leslie matrix of a system; solve recurrence relations, find equilibria and test stability of recurrence relations and describe the nature of relationships between different species.
- Demonstrate the ability to apply theory and techniques to realistic problems and to work independently or as part of a team under a time constraint. The student should also be able to write up their results in a professional fashion and be able to present their findings to a select audience.
- Mathematical modelling: introduction
- Discrete time models; equilibria, time delays
- Matrices in modelling; Leslie matrix
- Continuous time models; equilibria
- Multi-species models; symbiotics, predator-prey, SIR model, R0
Problem solving; information retrieval; computing; analytical skills; group working; presentational skills; report writing.
There will be three 1-hour lectures and one 1 1/2 hour practical per week.
1/3 coursework (1 practical project) and 2/3 examination.