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2014/15 Undergraduate Module Catalogue

MATH3565 Mathematical Biology

15 creditsClass Size: 70

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

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2014/15

Pre-requisite qualifications

MATH2391 or MATH2431 or MATH2375 or equivalent.

This module is mutually exclusive with

MATH5566M

Advanced Mathematical Biology

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 time Markov chains;
- continuous time Markov chains;
- 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
- Revision of probability, random variables and stochastic processes
- Discrete and continuous time Markov chains: extinction
- Branching processes in discrete time
- Brownian motion and associated differential equations
- Spatially extended systems, Turing phenomenon and 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

Reading list

The reading list is available from the Library website

Last updated: 05/02/2015

Disclaimer

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