Undergraduate Course: Mathematical Biology (MATH10013)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Available to all students |
| Credit level (Normal year taken) | SCQF Level 10 (Year 4 Undergraduate) |
Credits | 10 |
| Home subject area | Mathematics |
Other subject area | Specialist Mathematics & Statistics (Honours) |
| Course website |
https://info.maths.ed.ac.uk/teaching.html |
Taught in Gaelic? | No |
| Course description | Course for final year students in Honours programmes in Mathematics.
Continuous population models for a single species; delay-differential equations; biological waves in single-species models; biological oscillators and switches; the Hodgkin-Huxley model; dynamics of HIV. |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | Yes |
Course Delivery Information
| Not being delivered |
Summary of Intended Learning Outcomes
1. Finding the equilibria of a single-population model and their stability
2. Analysis of equilibria and stability of a delay-differential equation
3. Ability to analyse nonlinear PDE for travelling wave solution
4. Analysis and stability of equilibria of planar nonlinear system
5. Application of the Poincare-Bendixson theorem
6. Analysis and stability of equilibria of nonlinear systems in more than two variables.
7. Familiarity with biological applications as stated in the syllabus
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Assessment Information
Coursework 5%, Examination 95%
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Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Continuous models for a single species
Discrete population models for a single species
Models for interacting populations
Reaction-diffusion equations, chemotaxis and non-local mechanisms
Biological waves |
| Transferable skills |
Not entered |
| Reading list |
Mathematical Biology I. An Introduction, 3rd Edition, J.D. Murray, Springer (2008) |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | MBi |
Contacts
| Course organiser | Dr Martin Dindos
Tel:
Email: M.Dindos@ed.ac.uk |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk |
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