|
Date |
|
Day |
Section |
MAT
419/519 |
|
Jan |
12 |
R |
8.2 |
Nonhomogeneous BCs |
| |
16 |
M |
|
Holiday |
| |
17 |
T |
8.3 |
Eigenfunction Expansion Method |
| |
19 |
R |
8.3-8.4 |
Examples/Green's Formula |
| |
24 |
T |
8.5 |
Forced Membranes |
| |
26 |
R |
9.2 |
Influence Function |
| |
31 |
T |
9.3 |
Green's Functions for ODEs |
|
Feb |
2 |
R |
9.3 |
Dirac Delta Function |
| |
7 |
T |
9.3 |
Green's Functions - Properties |
| |
9 |
R |
9.4 |
Fredholm Alternative |
| |
14 |
T |
9.5 |
Poisson's Equation |
| |
16 |
R |
9.5 |
Method of Images |
| |
21 |
T |
|
Basic Complex Analysis |
| |
23 |
R |
|
Analytic Functions and Singularities |
| |
28 |
T |
|
Complex Path Integrals |
|
Mar |
2 |
R |
|
Residue Theorem |
|
Spring
Vacation - Mar 4-12 |
| |
14 |
T |
|
Applications |
|
|
16 |
R |
10.2-10.3 |
Fourier Transforms |
| |
21 |
T |
10.3 |
Transform Pairs |
| |
23 |
R |
10.4 |
Application to Heat Equation |
| |
28 |
T |
10.5 |
Fourier Sine and Cosine Transforms |
| |
30 |
R |
11.2 |
Green's Functions - Wave Equation |
|
Apr |
4 |
T |
12.2 |
Method of Characteristics - 1st Order |
| |
6 |
R |
12.3 |
d'Alembert's Solution |
|
|
11 |
T |
12.4-12.5 |
d'Alembert's Solution - Special Cases |
|
|
13 |
R |
|
Vacation |
|
|
14 |
F |
|
Vacation |
| |
18 |
T |
12.6 |
Quasilinear PDEs |
| |
20 |
R |
12.6 |
Rarefactions |
| |
25 |
T |
12.6 |
Shock Waves |
| |
27 |
R |
12.7 |
First Order - Nonlinear PDEs |