Complex Numbers and Ordinary Differential Equations

James Binney, Michaelmas Term 2002

The course introduces complex numbers and differential equations at a level that will prepare student for the Maths 2 paper in Natural Sciences Prelims.

Three problem sets will be issued

1 Complex Numbers

2 Linear Differential Equations

3 Application to Oscillators

4 Systems of Linear DE's with Constant Coefficients

5 Non-Linear Equations

6 Green's Functions