The mathematical toolkit of the physicist — dimensional analysis and estimation, vectors and complex numbers, then the partial differential equations, eigenfunction expansions, Green's functions and tensors that the later modules lean on.

This subject course follows the topic vertically, across the years it spans. The lessons are still being written — each is shown as a placeholder.

Year 1 — Mathematical Methods I

1. Dimensional Analysis
2. Orders of Magnitude and Estimation
3. Measurement and Uncertainty
4. Vectors in Physics
5. Complex Numbers in Physics
6. Coordinate Systems in Physics

Year 2 — Mathematical Methods II

1. Separation of Variables
2. Boundary-Value Problems and Eigenfunctions
3. Green's Functions: An Introduction
4. Tensors in Physics