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Learning activities
Learning outcomes
Construct and understand basic mathematical models of simple biological, environmental and other systems
Carry out mathematical analyses using a variety of mathematical methods, including some numerical methods. In particular, students should be able to: a. Solve certain classes of first order ordinary differential equations (ODE) b. Find general solutions to second order ODEs (including special cases of inhomogeneous ODEs) c. Find numerical solutions to first and second order initial value problems (IVPs) using Taylor’s theorem d. Use Laplace transforms to analyse IVPs, particularly with discontinuous forcing e. Use and analyse systems of linear first order ODEs as models of systems with interactions f. Classify 2nd order partial differential equations (PDEs) and numerically solve parabolic PDEs using finite differences
Interpret the results of a mathematical model.
Use numeric computational tools such as MATLAB and symbolic mathematics algebra systems in the analysis of differential equations models