# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2015/2016

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# Undergraduate Course: Mathematical Biology (MATH10013)

 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
 Pre-requisites Students MUST have passed: Honours Differential Equations (MATH10066) AND Honours Complex Variables (MATH10067) Co-requisites Prohibited Combinations Other requirements None
 Pre-requisites None High Demand Course? Yes
 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 Exam Information Exam Diet Paper Name Hours & Minutes Main Exam Diet S1 (December) Mathematical Biology (MATH10013) 2:00
 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
 Mathematical Biology I. An Introduction, 3rd Edition, J.D. Murray, Springer (2008)
 Graduate Attributes and Skills Not entered Keywords MBi
 Course organiser Dr Tom Mackay Tel: (0131 6)50 5058 Email: T.Mackay@ed.ac.uk Course secretary Mrs Alison Fairgrieve Tel: (0131 6)50 5045 Email: Alison.Fairgrieve@ed.ac.uk
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