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 |