Undergraduate Course: Mathematical Biology (MATH10013)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 10 (Year 4 Undergraduate) |
Availability | Available to all students |
| SCQF Credits | 10 |
ECTS Credits | 5 |
| Summary | 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. |
| Course description |
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
|
Information for Visiting Students
| Pre-requisites | None |
| High Demand Course? |
Yes |
Course Delivery Information
|
| Academic year 2015/16, Available to all students (SV1)
|
Quota: None |
| Course Start |
Semester 1 |
Timetable |
Timetable |
| Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 5,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
69 )
|
| Assessment (Further Info) |
Written Exam
95 %,
Coursework
5 %,
Practical Exam
0 %
|
| Additional Information (Assessment) |
Coursework 5%, Examination 95%
|
| Feedback |
Not entered |
| No Exam Information |
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
|
Reading List
| Mathematical Biology I. An Introduction, 3rd Edition, J.D. Murray, Springer (2008) |
Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | MBi |
Contacts
| Course organiser | Dr Tom Mackay
Tel: (0131 6)50 5058
Email: |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: |
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