| Lecture | Date | Main Topic |
| 1 | Tu 01/30 | Overview, basic types of differential equations and applications |
| 2 | Th 02/01 | Numerical methods for o.d.e.'s: methods, accuracy and stability |
| 3 | Tu 02/06 | Review of numerical differentiation and integration |
| 4 | Th 02/08 | Classification of partial differential equations |
| 5 | Tu 02/13 | Theoretical properties of partial differential equations |
| 6 | Th 02/15 | Poisson equation: finite differences, solution of linear systems |
| 7 | Tu 02/20 | Review of direct and iterative methods for systems of equations |
| 8 | Th 02/22 | Poisson equation: finite elements |
| 9 | Tu 02/27 | Heat equation: applications and properties, finite differences |
| 10 | Th 03/01 | Heat equation: method of lines, finite elements |
| 11 | Tu 03/06 | Numerical methods for the transport equation, Burgers' equation |
| 12 | Th 03/08 | Review |
| 13 | Tu 03/13 | Midterm exam |
| 14 | Th 03/15 | Final project |
| Tu 03/20 | Spring Break | |
| Th 03/22 | Spring Break | |
| 15 | Th 05/03 | Project presentations |
| 16 | Tu 05/08 | Project presentations |
| 17 | Th 05/10 | Project presentations |
| 18 | Tu 05/15 | Review |