| Jan 23 - Jan 27 | Finite difference methods for IVP's |
| Jan 30 - Feb 3 | Multistep methods, order and stability |
| Feb 6 - Feb 10 | Stability regions & stiff problems |
| Feb 13 - Feb 17 | Hamiltonian problems & dynamical systems |
| Feb 20 - Feb 24 | Differential algebraic equations (prelim 1 this week) |
| Feb 27 - Mar 3 | The diffusion equation & the wave equation |
| Mar 6 - Mar 10 | Finite difference methods for PDE's |
| Mar 13 - Mar 17 | Fourier analysis |
| Mar 20 - Mar 24 | Spring break |
| Mar 27 - Mar 31 | Von Neumann stability & CFL stability (prelim 2 this week) |
| Apr 3 - Apr 7 | Hyperbolic conservation laws & shock waves |
| Apr 10 - Apr 14 | L1 contraction and nonlinear stability |
| Apr 17 - Apr 21 | Boundary value problems & the finite element method |
| Apr 24 - Apr 28 | Isoparametric elements & mesh generation |
| May 1 - May 5 | Multigrid |