The course covers problems in 4 broad sections:
1. Ordinary differential equations, such as those of classical mechanics.
2. Partial differential equations, such as Maxwell’s equations and the Diffusion and Schrödinger equations.
3. Matrix methods, such as systems of equations and eigenvalue problems applied to Poisson’s equation and electronic structure calculations.
4. Monte Carlo and other simulation methods, such as the Metropolis algorithm and molecular dynamics.