- Student Records
Programme & Unit Catalogues


MA10202: Modelling the dynamics of life 2

Follow this link for further information on academic years Academic Year: 2019/0
Further information on owning departmentsOwning Department/School: Department of Mathematical Sciences
Further information on credits Credits: 6      [equivalent to 12 CATS credits]
Further information on notional study hours Notional Study Hours: 120
Further information on unit levels Level: Certificate (FHEQ level 4)
Further information on teaching periods Period:
Semester 2
Further information on unit assessment Assessment Summary: CW 25%, EX 75%
Further information on unit assessment Assessment Detail:
  • Coursework (CW 25%)
  • Examination (EX 75%)
Further information on supplementary assessment Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Further information on requisites Requisites: Before taking this module you must take MA10201 OR take PH20019
Further information on descriptions Description: Aims:
To provide students with the necessary mathematical background to be able to model simple processes involving interactions in the life sciences.

Learning Outcomes:
At the end of this unit, students should be able to:
* write down and analyse a range of classical mathematical models used to describe biological processes;
* carry out a range of techniques from matrix algebra and dynamical systems and understand their role in analysing biological models;
* work competently with complex numbers;
* make use of a computer package to simulate biological processes

Skills:
Matrix algebra (T, A); dynamical systems (T,A); use of a computer package (T, A); mathematical modelling (T, F, A).

Content:
Matrices and determinants: eigenvalues and eigenvectors, complex numbers; Leslie matrices, age-structured populations
Second order difference equations: solutions, steady states, stability, Jury conditions; host-parasitoid and other biological systems
Second order ordinary differential equations: solutions, system of two equations solved by writing as single second order differential equation, steady states, Jacobian, Routh-Hurwitz conditions, phase plane analysis; prey-predator, competition and other biological systems.
Simple examples of bifurcation scenarios.
Further information on programme availabilityProgramme availability:

MA10202 is Optional on the following programmes:

Department of Biology & Biochemistry Programmes in Natural Sciences
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Biochemistry with Chemistry stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Biochemistry with Chemistry stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Biochemistry with Chemistry stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Biochemistry with Environmental Science stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Biochemistry with Environmental Science stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Biochemistry with Environmental Science stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Biochemistry with Pharmacology stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Biochemistry with Pharmacology stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Biochemistry with Pharmacology stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Biology with Chemistry stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Biology with Chemistry stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Biology with Chemistry stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Biology with Environmental Science stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Biology with Environmental Science stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Biology with Environmental Science stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Biology with Pharmacology stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Biology with Pharmacology stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Biology with Pharmacology stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Chemistry with Biochemistry stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Chemistry with Biochemistry stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Chemistry with Biochemistry stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Chemistry with Biology stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Chemistry with Biology stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Chemistry with Biology stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Chemistry with Environmental Science stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Chemistry with Environmental Science stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Chemistry with Environmental Science stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Chemistry with Pharmacology stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Chemistry with Pharmacology stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Chemistry with Pharmacology stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Environmental Science with Biochemistry stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Environmental Science with Biochemistry stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Environmental Science with Biochemistry stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Environmental Science with Biology stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Environmental Science with Biology stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Environmental Science with Biology stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Environmental Science with Chemistry stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Environmental Science with Chemistry stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Environmental Science with Chemistry stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Pharmacology with Biochemistry stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Pharmacology with Biochemistry stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Pharmacology with Biochemistry stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Pharmacology with Biology stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Pharmacology with Biology stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Pharmacology with Biology stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Pharmacology with Chemistry stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Pharmacology with Chemistry stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Pharmacology with Chemistry stream) with Year long work placement (Year 1)
  • UXXX-AFM01 : MSci(Hons) Natural Sciences (Biochemistry with Chemistry stream) (Year 1)
  • UXXX-AAM02 : MSci(Hons) Natural Sciences (Biochemistry with Chemistry stream) with Study year abroad (Year 1)
  • UXXX-AKM02 : MSci(Hons) Natural Sciences (Biochemistry with Chemistry stream) with Professional Placement (Year 1)
  • UXXX-AFM01 : MSci(Hons) Natural Sciences (Biochemistry with Pharmacology stream) (Year 1)
  • UXXX-AAM02 : MSci(Hons) Natural Sciences (Biochemistry with Pharmacology stream) with Study year abroad (Year 1)
  • UXXX-AKM02 : MSci(Hons) Natural Sciences (Biochemistry with Pharmacology stream) with Professional Placement (Year 1)
  • UXXX-AFM01 : MSci(Hons) Natural Sciences (Biology with Chemistry stream) (Year 1)
  • UXXX-AAM02 : MSci(Hons) Natural Sciences (Biology with Chemistry stream) with Study year abroad (Year 1)
  • UXXX-AKM02 : MSci(Hons) Natural Sciences (Biology with Chemistry stream) with Professional Placement (Year 1)
  • UXXX-AFM01 : MSci(Hons) Natural Sciences (Biology with Pharmacology stream) (Year 1)
  • UXXX-AAM02 : MSci(Hons) Natural Sciences (Biology with Pharmacology stream) with Study year abroad (Year 1)
  • UXXX-AKM02 : MSci(Hons) Natural Sciences (Biology with Pharmacology stream) with Professional Placement (Year 1)
  • UXXX-AFM01 : MSci(Hons) Natural Sciences (Chemistry with Biochemistry stream) (Year 1)
  • UXXX-AAM02 : MSci(Hons) Natural Sciences (Chemistry with Biochemistry stream) with Study year abroad (Year 1)
  • UXXX-AKM02 : MSci(Hons) Natural Sciences (Chemistry with Biochemistry stream) with Professional Placement (Year 1)
  • UXXX-AFM01 : MSci(Hons) Natural Sciences (Chemistry with Biology stream) (Year 1)
  • UXXX-AAM02 : MSci(Hons) Natural Sciences (Chemistry with Biology stream) with Study year abroad (Year 1)
  • UXXX-AKM02 : MSci(Hons) Natural Sciences (Chemistry with Biology stream) with Professional Placement (Year 1)
  • UXXX-AFM01 : MSci(Hons) Natural Sciences (Chemistry with Pharmacology stream) (Year 1)
  • UXXX-AAM02 : MSci(Hons) Natural Sciences (Chemistry with Pharmacology stream) with Study year abroad (Year 1)
  • UXXX-AKM02 : MSci(Hons) Natural Sciences (Chemistry with Pharmacology stream) with Professional Placement (Year 1)

Notes: