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MA10201: Modelling the dynamics of life 1

[Page last updated: 15 October 2020]

Follow this link for further information on academic years Academic Year: 2020/1
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 1
Further information on unit assessment Assessment Summary: CW 100%
Further information on unit assessment Assessment Detail:
  • Coursework (CW 100%)
Further information on supplementary assessment Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Further information on requisites Requisites: You must have A level Mathematics to take this unit
Description: Aims:
To provide students with the necessary mathematical background to be able to model simple processes in the life sciences.

Learning Outcomes:
At the end of this unit, students should be able to:
* manipulate, sketch and make effective use of a range of standard mathematical functions;
* analyse first order dynamical systems using a range of techniques;
* write down and analyse a range of simple mathematical models and interpret the results biologically.

Skills:
Dynamical systems (T, A); Mathematical modelling (T, F, A)

Content:
Revision of A level material: exponentials, logarithms and trigonometric functions; techniques of differentiation & integration.
Curve sketching: exponential functions; trigonometric functions; saturating functions.
Mathematical modelling: formulation, Occam's razor; analysis; validation; modification.
First-order difference equations: solutions, cobweb diagrams, steady states, stability; biological applications
First-order ordinary differential equations; solution by separation of variables, integrating factor; steady states, stability; biological applications.
Further information on programme availabilityProgramme availability:

MA10201 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)

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