MATU9MM - Mathematical Modelling

SCQF Level: 10
Course Co-ordinator: Prof Rachel Norman
Lecturers: Prof Rachel Norman
Availability: Spring
Course Prerequisite: MATU9M4
SCQF Credit Value: 10 (1 module)

Aims

This module will be motivated by real life examples from Biology and Medicine. In particular, different mathematical modelling techniques will be studied and applied.

Learning Outcomes

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.

Contents

  1. Mathematical modelling: introduction
  2. Discrete time models; equilibria, time delays
  3. Matrices in modelling; Leslie matrix
  4. Continuous time models; equilibria
  5. Multi-species models; symbiotics, predator-prey, SIR model, R0

Transferable Skills

Problem solving; information retrieval; computing; analytical skills; group working; presentational skills; report writing.

Teaching Format

There will be three 1-hour lectures and one 1 1/2 hour practical per week.

Assessment

1/3 coursework (1 practical project) and 2/3 examination.

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