Department of Mathematical Sciences, Unit Catalogue 2011/12 

Credits:  6 
Level:  Masters UG & PG (FHEQ level 7) 
Period: 
Semester 1 
Assessment:  CW 100% 
Supplementary Assessment:  Likeforlike reassessment (where allowed by programme regulations) 
Requisites:  Before taking this unit you must take MA30047 and take MA30063 or equivalent units from another institution. MA30047 and MA30063 will be available as presessional distance learning material for MSc students. Students will require skills in MATLAB which they may achieve for example by taking MA50174 concurrently. 
Description:  Aims: To study current problems in the biological and life sciences using mathematical modelling techniques. Learning Outcomes: After taking this unit, students should be able to: * Build a mathematical model to address a particular research question in the biological and life sciences; * Use a range of mathematical techniques to critically analyse the model; * Interpret and present findings from the modelling in a manner appropriate to the audience; * Read and summarise a research papers; learn to critically discuss and evaluate their quality as a publication in the field of Mathematical Biology * Prepare and present a seminar. Skills: Modelling biological systems (model formulation, analysis, interpretation, refinement) (T, F, A); Critical analysis of research papers (T, A); Presentation skills (T, F, A). Content: * Biological concepts will include a selection from: biological control; contact networks; ecological interactions; epidemiological dynamics; evolutionary theory; populations structured by age, space or other characteristics; transient behaviour; tumour development. Case studies will be used to highlight current research interests. * Modelling approaches will include a selection from: cellular automata; control systems; dynamical systems; network structures; reactiondiffusion equations; simulation. * Mathematical techniques will include a selection from: bifurcation theory; bounds and stability; numerical solution (using and adapting MATLAB programs); perturbation theory. * Research techniques will include a selection from: reading and summarising research papers; preparing and giving seminars; producing and presenting technical posters. 
Programme availability: 
MA40197 is Compulsory on the following programmes:Department of Mathematical Sciences
MA40197 is Optional on the following programmes:Programmes in Natural Sciences
