MA10202: Modelling the dynamics of life 2
![]() | 2019/0 |
![]() | Department of Mathematical Sciences |
![]() | 6 [equivalent to 12 CATS credits] |
![]() | 120 |
![]() | Certificate (FHEQ level 4) |
![]() |
|
![]() | CW 25%, EX-TH 75%* |
![]() |
*Assessment updated due to Covid-19 disruptions |
![]() |
|
![]() | Before taking this module you must take MA10201 OR take PH20019 |
![]() | 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. |
![]() |
MA10202 is Optional on the following programmes:Department of Biology & Biochemistry
|
Notes:
|