Hilary term

Some notes, close to the material delivered. This is drawn from old course material from a module taught by Conor Houghton and then by me. The notes were prepared by Conor.
Ordinary differential equations: linear first order, second order homogenous. PDF
Ordinary differential equations: second order inhomogenous. PDF
Ordinary differential equations: Greens function and Wronskian, Euler's equation. PDF
Ordinary differential equations: Hermite equation, series solutions. PDF
Ordinary differential equations: Frobenius series solutions. PDF
Numerical ODEs: euler method and errors PDF
Numerical ODEs: Higher-order methods PDF
Numerical ODEs: Beyond 1st order ODEs PDF