Student Records
Programme & Unit Catalogues

## MA10202: Modelling the dynamics of life 2

Owning Department/School: Department of Mathematical Sciences
Credits: 6      [equivalent to 12 CATS credits]
Notional Study Hours: 120
Level: Certificate (FHEQ level 4)
Period:
Semester 2
Assessment Summary: CW 25%, EX 75%
Assessment Detail:
• Coursework (CW 25%)
• Examination (EX 75%)
Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Requisites: Before taking this module you must take MA10201 OR take PH20019
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.
Programme availability:

#### MA10202 is Optional on the following programmes:

Department of Biology & Biochemistry
• USBB-AFB03 : BSc(Hons) Biology (Year 2)
• USBB-AKB07 : BSc(Hons) Biology with Professional Placement (Year 2)
• USBB-AFB05 : BSc(Hons) Molecular and Cellular Biology (Year 2)
• USBB-AKB08 : BSc(Hons) Molecular and Cellular Biology with Professional Placement (Year 2)
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 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 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 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 (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: This unit catalogue is applicable for the 2018/19 academic year only. Students continuing their studies into 2019/20 and beyond should not assume that this unit will be available in future years in the format displayed here for 2018/19. Programmes and units are subject to change in accordance with normal University procedures. Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules. Undergraduates: Find out more about these and other important University terms and conditions here. Postgraduates: Find out more about these and other important University terms and conditions here.