| Initial Value Problems |
| 1 | Differential Equations and Stable Difference Methods |
| 2 | Finite Differences: Accuracy, Stability, Convergence |
| 3 | The Wave Equation and von Neumann Stability |
| 4 | The Heat Equation and Convection-Diffusion |
| 5 | Maxwell's Equations and Staggered Leapfrog |
| 6 | Nonlinear Flow Equations |
| 7 | Separation of Variables and Spectral Methods |
| Solving Large Linear Systems |
| 8 | Elimination with Reordering |
| 9 | Iterative Methods |
| 10 | Multigrid Methods |
| 11 | Krylov Methods |
| 12 | Saddle Points and the Stokes Problem |
| 13 | Optimization |
| Project Reports |