## MATH3565 Mathematical Biology

### 15 creditsClass Size: 95

Module manager: Professor Grant Lythe
Email: G.D.Lythe@leeds.ac.uk

Taught: Semester 1 View Timetable

Year running 2019/20

### Pre-requisite qualifications

MATH2391 or MATH2375 or equivalent.

### This module is mutually exclusive with

This module is approved as a discovery module

### Module summary

The physical sciences are underpinned by mathematics, both as a structure or language for the concise statement of the laws of nature, and as a tool for developing an understanding of new phenomena by modelling analysis. The introduction of mathematics to the biological and the medical sciences is still at an early stage, but it is becoming increasingly important in many areas. This module aims to introduce the student to some areas of mathematical biology and medicine.

### Objectives

On completion of this module, students should be able to model certain biological phenomena described by:

- ordinary differential equations;
- discrete and continuous time Markov processes
- branching processes;
- Brownian motion;
- partial differential equations.

### Syllabus

- Modelling biological phenomena from several areas of biology and medicine
- Ordinary differential equations and biological populations
- Steady states and stability in one and multiple dimensions
- Random variables and probability generating functions
- Birth and death processes
- Branching processes in discrete time
- Brownian motion and associated differential equations
- Spatially extended systems and the spread of epidemics

### Teaching methods

 Delivery type Number Length hours Student hours Lecture 33 1.00 33.00 Private study hours 117.00 Total Contact hours 33.00 Total hours (100hr per 10 credits) 150.00

### Private study

Studying and revising of course material.
Completing of assignments and assessments.

### Opportunities for Formative Feedback

Examples sheets and quizzes.

### Methods of assessment

Exams
 Exam type Exam duration % of formal assessment Standard exam (closed essays, MCQs etc) 2 hr 30 mins 100.00 Total percentage (Assessment Exams) 100.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated