|Assessment Type||Assessment length / details||Proportion|
|Semester Assessment||Computer prac Report on a computer investigation||10%|
|Semester Assessment||Problem Sheets Three assessed problem sheets.||30%|
|Semester Exam||2 Hours Exam Semester Examination||60%|
|Supplementary Exam||2 Hours Resit Resit||100%|
On successful completion of this module students should be able to:
Explain the biological relevance of parameters in a mathematical model of a complex system
Calculate the stability of the steady-state solutions to a mathematical model of a biological system.
Find travelling wave solutions of a differential equation.
Use a computer to explore the dynamics of a complex system.
The course aims to develop students' ability to identify the key parameters in a complex system and create and solve a comparatively simple model, the results of which can then be related back to the original system. Examples will include chaotic population models and waves in reaction-diffusion systems which lead to pattern formation.
Mathematical Biology is an area of interest that is growing rapidly in popularity; with a little knowledge of biology, mathematicians are now able to develop appropriate models of biological phenomena which are also of mathematical interest in their own right. Mathematicians who are familiar with rigorous biological modelling have extremely attractive employment prospects in this and related areas such as medicine.
Two species population models; Lotka Volterra; Predator Prey.
Spread of Epidemics; Cellular automata.
Reaction Diffusion Equations; Propagating Wave Solutions; Travelling Fronts; Spatial Pattern Formation; Animal Coat Patterns.
|Skills Type||Skills details|
|Problem Solving is required for each of the Assessed Problem Sheets.|
|Develop mathematical skills in developing and solving models|
|Required for the assessed computer practical|
This module is at CQFW Level 6