Course overview
This course develops fundamental concepts in ordinary differential equations (ODEs) and introduces partial differential equations (PDEs). A range of methods for solving first-order ODEs (using both analytic and numerical techniques) will be developed and their qualitative solution behaviour will be investigated. These concepts will be extended to linear coupled first-order ODEs and second order ODEs. PDEs will be introduced and the heat, wave and Laplace equations will be solved using separation of variables.