Courses / Module

MATHEMATICAL BIOLOGY

Module code: MT481S
Credits: 5
Semester: 2
Department: MATHEMATICS AND STATISTICS
International:

	Overview
	Module Objective: To demonstrate how Mathematics can be used in Biology. Single species models, continuous and discrete models, exponential, logistic and difference equation models. Steady states and stability, introduction to qualitative methods. Models for interacting species, Lotka-Volterra equations, qualitative behaviour of solutions of linear systems, predator-prey systems, harvesting. Structured population models, epidemic models. Deterministic modelling (ordinary differential equations and difference equations).

Overview

Module Objective:

To demonstrate how Mathematics can be used in Biology.

Single species models, continuous and discrete models, exponential, logistic and difference equation models. Steady states and stability, introduction to qualitative methods. Models for interacting species, Lotka-Volterra equations, qualitative behaviour of solutions of linear systems, predator-prey systems, harvesting. Structured population models, epidemic models. Deterministic modelling (ordinary differential equations and difference equations).

	Learning Outcomes
	On successful completion of the module, students should be able to: Model a variety of biological phenomena. Use these models to predict future behaviour. Decide whether the model is appropriate for the given system. Solve various ordinary differential equations. Apply basic qualitative techniques to continuous-time and discrete-time models arising in Biology. Use methods from the course to solve problems.

Learning Outcomes

Teaching & Learning methods

Assessment

	Autumn Supplementals/Resits
	Are supplemental/resit registrations permitted? Yes Continuous assessment mark is carried forward to the Autumn. University scheduled written examination (Autumn): 120 minutes, On-campus

	Pre-Requisites
	MT301C or equivalent.

Timetable

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Courses / Module

MATHEMATICAL BIOLOGY

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