2018/19 Taught Postgraduate Module Catalogue
MATH5566M Advanced Mathematical Biology
20 creditsClass Size: 30
Module manager: Professor Grant Lythe
Taught: Semester 1 View Timetable
Year running 2018/19
Pre-requisite qualificationsMATH2391 or MATH2375 or equivalent.
This module is mutually exclusive with
This module is approved as an Elective
Module summaryAll the major developments in 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 anearly 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 that give rise to exciting new developments and top some current challenges for mathematical biology.
ObjectivesOn completion of this module, students should be able to
a) model certain biological phenomena described by:
- ordinary differential equations;
- difference equations;
- discrete time Markov chains;
- continuous time Markov chains;
- discrete-time and continuous-time branching processes
- Brownian motion;
- partial differential equations.
b) model phenomena in infectious diseases.
- Modelling biological phenomena from several areas of biology and medicine.
- Ordinary differential equations in biology: population growth and molecular reactions.
- Steady states and stability in one and multiple dimensions.
- Probability, random variables and stochastic processes.
- Discrete and continuous time Markov chains: extinction.
- Branching processes in discrete time and continuous time.
- Brownian motion and associated differential equations.
- Spatially extended systems, Turing phenomenon, travelling waves and spread of epidemics.
|Delivery type||Number||Length hours||Student hours|
|Private study hours||156.00|
|Total Contact hours||44.00|
|Total hours (100hr per 10 credits)||200.00|
Private studyStudying and revising of course material.
Completing of assignments and assessments.
Opportunities for Formative FeedbackExample sheets and quizzes.
Methods of assessment
|Exam type||Exam duration||% of formal assessment|
|Standard exam (closed essays, MCQs etc)||3 hr 00 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 listThe reading list is available from the Library website
Last updated: 20/03/2018
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