| |
Date |
Lecture Topic |
Assignment / Reading |
| Tue |
16-Jan |
1. Introduction to PDEs |
Read General PDE Notes |
| Thu |
18-Jan |
2. Classification and Characteristics |
M&M Chapter 1 |
| Tue |
23-Jan |
3. Heat Equation and Explicit FD Method |
Read Finite Difference Notes I
M&M Chapter 2 |
| Thu |
25-Jan |
4. Analysis of Implicit FD Method |
M&M Chapter 2
HW 1 assigned |
| Tue |
30-Jan |
5. Method of Lines |
M&M Chapter 2 |
| Thu |
1-Feb |
6. Maximum Principle |
M&M Chapter 2 |
| Tue |
6-Feb |
7. Non-Dirichlet BCs |
M&M Chapter 2 |
| Thu |
8-Feb |
8. General Linear Problems |
M&M Chapter 2 |
| Tue |
13-Feb |
9. Class Canceled, Snow Day! |
M&M Chapter 2 |
| Thu |
15-Feb |
10. Higher Dimensions |
M&M Chapter 3
HW 1 due by 5 PM
HW 2 assigned |
| Tue |
20-Feb |
11. Class postponed due to travel |
M&M Chapter 3 |
| Thu |
22-Feb |
12. Class postponed due to travel |
M&M Chapter 3 |
| Tue |
27-Feb |
13. Curved Boundaries |
M&M Chapter 3 |
| Thu |
1-Mar |
14. Hyperbolic Equations |
M&M Chapter 4 |
| Tue |
6-Mar |
15. Hyperbolic Equations |
HW 2 due by 5 PM |
| Thu |
8-Mar |
16. ** Midterm Exam ** |
|
| Fri |
9-Mar |
Drop Deadline |
| Tue |
13-Mar |
17. Hyperbolic Equations |
HW 3 assigned |
| Thu |
15-Mar |
18. Elliptic Equations |
|
| Tue |
20-Mar |
Spring Vacation |
| Thu |
22-Mar |
| Tue |
27-Mar |
19. Elliptic Equations |
|
| Thu |
29-Mar |
20. Quadratic Functionals |
|
| Tue |
3-Apr |
21. Quadratic Functionals |
HW 3 due by 5 PM
HW 4 assigned |
| Thu |
5-Apr |
22. Euler-Lagrange |
|
| Tue |
10-Apr |
23. Variational Formulation |
|
| Thu |
12-Apr |
24. Gauss Divergence Theorem |
|
| Tue |
17-Apr |
25. Programming the Finite Element Method |
HW 4 due by 5 PM
HW 5 assigned |
| Thu |
19-Apr |
26. Programming the Finite Element Method |
|
| Tue |
24-Apr |
27. Class postponed due to travel |
|
| Thu |
26-Apr |
28. Class postponed due to travel |
|
| Tue |
1-May |
29. |
HW5 due by 5 PM |
| Thu |
10-May |
Final Exam (8:00 - 11:00 AM) in 1105 SC |