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 Academic Year: | 2018/9 |
| Owning Department/School: | Department of Mathematical Sciences |
| Credits: | 6 [equivalent to 12 CATS credits] |
| Notional Study Hours: | 120 |
| Level: | Certificate (FHEQ level 4) |
| Period: |
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| Assessment Summary: | CW 25%, EX 75% |
| Assessment Detail: |
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| Supplementary Assessment: |
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| 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
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Notes:
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