A Collection of Course Notes

This is a selection of notes I've written for some of the courses I've taught over the years. More to come.

• outreach: fractals part 1 and fractals part 2. These notes are aimed at bright high school (secondary school) students, intended for an after-school enrichment program.
• analysis II (University of Cork, Ireland): background material, derivatives part 1, derivatives part 2, the implicit function theorem
• differential equations: second order differential equations part 1, second order differential equations part 2, Fourier series solutions to the heat equation
• MAM1044 at UCT (ostensibly, first year applied mathematics): preliminaries, matrix operations, linear equations, matrix inversion, linear mappings, determinants, eigenvalues and eigenvectors, graph theory, counting,and probability
• partial differential equation (honors course at UCT): background, introductory material, and the Laplace operator, the maximum principle for elliptic operators.
• second year linear algebra at UCT
• second year differential and difference equations at UCT: part 1, part 2, part 3, part 4, part 5, part 6