| |
Date |
Lecture Topic |
Assignment / Reading |
| Tue |
17-Jan |
1. Introduction to PDEs |
Read General PDE Notes |
| Thu |
19-Jan |
2. Classification and Characteristics |
M&M Chapter 1 |
| Tue |
24-Jan |
3. Heat Equation |
Read Finite Difference Notes I
M&M Chapter 2 |
| Thu |
26-Jan |
4. Analysis of Explicit FD Method |
M&M Chapter 2
HW 1 assigned |
| Tue |
31-Jan |
5. Fourier Analysis of FD Method |
M&M Chapter 2 |
| Thu |
2-Feb |
6. Method of Lines |
M&M Chapter 2 |
| Tue |
7-Feb |
7. Maximum Principal |
M&M Chapter 2 |
| Thu |
9-Feb |
8. Non-Dirichlet Boundary Conditions |
HW 1 due by 5 PM |
| Tue |
14-Feb |
9. General Linear Problems |
M&M Chapter 2 |
| Thu |
16-Feb |
10. Higher Dimensions |
M&M Chapter 3
HW2 assigned |
| Tue |
21-Feb |
11. Curved Boundaries |
Quiz 1 (covers M&M Chapter 2) |
| Thu |
23-Feb |
12. Hyperbolic Equations |
M&M Chapter 4 |
| Tue |
28-Feb |
13. Conservation Laws (De Sterck's Notes) |
Guest Lecturer: Luke Olson |
| Thu |
2-Mar |
14. Hyperbolic Equations |
HW 2 due by 5 PM |
| Tue |
7-Mar |
15. ** Midterm Exam ** |
Max 99, Min 30, Mean 86.6, Median 94, Count 24 |
| Thu |
9-Mar |
16. Hyperbolic Equations |
M&M Chapter 4
HW 3 assigned |
| Fri |
10-Mar |
Drop Deadline |
| Tue |
14-Mar |
17. Hyperbolic Equations |
|
| Thu |
16-Mar |
18. Elliptic Equations |
|
| Tue |
21-Mar |
Spring Vacation |
| Thu |
23-Mar |
| Tue |
28-Mar |
19. Elliptic Equations |
|
| Thu |
30-Mar |
20. Quadratic Functionals |
HW 3 due by 5 PM |
| Tue |
4-Apr |
21. Quadratic Functionals |
|
| Thu |
6-Apr |
22. Euler-Lagrange |
Quiz 2 (Covers M&M 4.6, 4.7, 6.1 - 6.5)
HW4 assigned |
| Tue |
11-Apr |
23. Variational Formulation |
|
| Thu |
13-Apr |
24. Greens Divergence Theorem |
|
| Tue |
18-Apr |
25. Programming the Finite Element Method |
HW 4 due by 5 PM |
| Thu |
20-Apr |
26. Programming the Finite Element Method |
|
| Tue |
25-Apr |
27. |
|
| Thu |
27-Apr |
28. |
|
| Tue |
2-May |
29. |
HW5 due by 5 PM |
| Thu |
11-May |
Final Exam (7:00 - 10:00 PM, 1105 Siebel Center) |