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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Mathematical Biology (MATH10013)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 10 (Year 4 Undergraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryCourse 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
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Honours Differential Equations (MATH10066) AND Honours Complex Variables (MATH10067)
Co-requisites
Prohibited Combinations Other requirements None
Information for Visiting Students
Pre-requisitesNone
Course Delivery Information
Not being delivered
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
Course URL https://info.maths.ed.ac.uk/teaching.html
Graduate Attributes and Skills Not entered
KeywordsMBi
Contacts
Course organiserDr Martin Dindos
Tel:
Email: M.Dindos@ed.ac.uk
Course secretaryMrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk
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