MA22034: Mathematical methods for the life sciences 2
[Page last updated: 03 June 2024]
| Academic Year: | 2024/25 |
| Owning Department/School: | Department of Mathematical Sciences |
| Credits: | 5 [equivalent to 10 CATS credits] |
| Notional Study Hours: | 100 |
| Level: | Intermediate (FHEQ level 5) |
| Period: |
- Semester 1
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| Assessment Summary: | EXOB 100% |
| Assessment Detail: |
- Open-book written examination (EXOB 100%)
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| Supplementary Assessment: |
- Like-for-like reassessment (where allowed by programme regulations)
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| Requisites: |
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| Learning Outcomes: |
At the end of this unit, students should be able to:
- Use a range of mathematical techniques associated with solving multi-variable equations;
- Identify and solve a range of partial differential equations commonly used in the life sciences;
- Interpret solutions in contexts relevant to the life sciences.
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| Synopsis: | This unit will extend your mathematical skills so that you can use mathematical equations to describe processes in the life sciences that vary over time and over space. You will explore how these equations are used in the life sciences and will learn to interpret solutions to the equations in context.
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| Content: | Multi-variable calculus:
Double and triple integrals, change of variable using the Jacobian, polar and spherical coordinates, line integrals,
surfaces and surface integrals; relevance to the life sciences.
Vector calculus:
Gradient, divergence, curl, statement and application of the divergence theorem, statement and application of Stoke's theorem; relevance to the life sciences.
PDEs:
Conservation equations in 1-d - derivation; common flux terms; boundary conditions; steady state distributions; life sciences context
Diffusion equation in 1-d: solution by separation of variables, fundamental solution, comparison of methods
Laplace equation (2-d) as the steady state solution to the diffusion equation; solution in square or circular domains
Solution of the wave equation using d'Alembert's formula and method of characteristics.
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| Course availability: |
MA22034 is Optional on the following courses:
Department of Chemistry
- USSC-AFB10 : BSc(Hons) Natural Sciences (Biochemistry and Chemistry) (Year 2)
- USSC-AKB10 : BSc(Hons) Natural Sciences (Biochemistry and Chemistry) with Study year abroad (Year 2)
- USSC-AKB10 : BSc(Hons) Natural Sciences (Biochemistry and Chemistry) with professional placement (Year 2)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Biology and Chemistry) (Year 2)
- USSC-AKB10 : BSc(Hons) Natural Sciences (Biology and Chemistry) with Study year abroad (Year 2)
- USSC-AKB10 : BSc(Hons) Natural Sciences (Biology and Chemistry) with professional placement (Year 2)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Chemistry and Pharmacology) (Year 2)
- USSC-AKB10 : BSc(Hons) Natural Sciences (Chemistry and Pharmacology) with Study year abroad (Year 2)
- USSC-AKB10 : BSc(Hons) Natural Sciences (Chemistry and Pharmacology) with professional placement (Year 2)
- USSC-AFM10 : MSci(Hons) Natural Sciences (Biochemistry and Chemistry) (Year 2)
- USSC-AKM10 : MSci(Hons) Natural Sciences (Biochemistry and Chemistry) with professional placement (Year 2)
- USSC-AKM10 : MSci(Hons) Natural Sciences (Biochemistry with Chemistry stream) with Study year abroad (Year 2)
- USSC-AFM10 : MSci(Hons) Natural Sciences (Biology and Chemistry) (Year 2)
- USSC-AKM10 : MSci(Hons) Natural Sciences (Biology and Chemistry) with Study year abroad (Year 2)
- USSC-AKM10 : MSci(Hons) Natural Sciences (Biology and Chemistry) with professional placement (Year 2)
- USSC-AFM10 : MSci(Hons) Natural Sciences (Chemistry and Pharmacology) (Year 2)
- USSC-AKM10 : MSci(Hons) Natural Sciences (Chemistry and Pharmacology) with Study year abroad (Year 2)
- USSC-AKM10 : MSci(Hons) Natural Sciences (Chemistry and Pharmacology) with professional placement (Year 2)
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Notes: - This unit catalogue is applicable for the 2024/25 academic year only. Students continuing their studies into 2025/26 and beyond should not assume that this unit will be available in future years in the format displayed here for 2024/25.
- Courses 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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