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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2019/2020

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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
High Demand Course? Yes
Course Delivery Information
Academic year 2019/20, 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)2:00
Learning Outcomes
On completion of this course, the student will be able to:
  1. Finding the equilibriums of population models and their stability.
  2. Analyse the equilibriums and stability of a delay-differential equation.
  3. Analyse nonlinear PDE for travelling wave solutions.
  4. Analyse planar nonlinear systems.
  5. Analyse systems of ODEs characterizing virus dynamics.
Reading List
Mathematical Biology I. An Introduction, 3rd Edition, J.D. Murray, Springer (2008)
Additional Information
Graduate Attributes and Skills Not entered
KeywordsMBi
Contacts
Course organiserDr Tom MacKay
Tel: (0131 6)50 5058
Email: T.Mackay@ed.ac.uk
Course secretaryMrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk
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