MA10202: Modelling the dynamics of life 2
[Page last updated: 05 August 2021]
| Academic Year: | 2021/2 |
| 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
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| Assessment Summary: | CW 100% |
| Assessment Detail: | |
| Supplementary Assessment: |
- Like-for-like reassessment (where allowed by programme regulations)
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| Requisites: |
Before taking this module you must take MA10201 OR take PH20019
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| 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.
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| 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-AFM07 : MBiol(Hons) Biology (Year 2)
- USBB-AKM07 : MBiol(Hons) 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 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)
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Notes: - This unit catalogue is applicable for the 2021/22 academic year only. Students continuing their studies into 2022/23 and beyond should not assume that this unit will be available in future years in the format displayed here for 2021/22.
- 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.
- Find out more about these and other important University terms and conditions here.
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