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## MA10201: Modelling the dynamics of life 1

[Page last updated: 15 October 2020]

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 1
Assessment Summary: CW 100%
Assessment Detail:
• Coursework (CW 100%)
Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
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.
Programme 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)

 Notes: This unit catalogue is applicable for the 2020/21 academic year only. Students continuing their studies into 2021/22 and beyond should not assume that this unit will be available in future years in the format displayed here for 2020/21. 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.