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Introduction to interacting populations

This is a course in mathematical methods.  It introduces partial differentiation and Taylor series in one and two dimensions, together with second order linear constant coefficient differential equations. It also introduces the phase plane for coupled non-linear equations

The first practical class concentrates on how conic sections can be sketched by hand and by computer

Introduction to Interacting Populations Practical 1 [ConicDemo.m]

The second and third practicals use a custom written interface to investigate the behaviour of coupled non-linear systems in two dimensions

Using ODE_Interface [ODE_Interface.mODE_Interface.fig]

Introduction to Interacting Populations Practical 2

Introduction to Interacting Populations Practical 3