|
Date |
|
Day |
Sec |
Topic |
|
Aug |
18 |
R |
1.2-1.3 |
Heat Equation |
| |
23 |
T |
1.4 |
BCs and Equilibrium Solutions |
| |
25 |
R |
1.4-1.5 |
Higher Dimensional Heat
Equation |
| |
30 |
T |
2.1-2.3 |
Separation of Variables |
|
Sep |
1 |
R |
2.4 |
Heat Equation Examples |
|
|
5 |
M |
|
Labor Day |
| |
6 |
T |
2.5 |
Laplace's Equation - 2D |
| |
8 |
R |
2.5 |
Polar Form/Maximum Principle |
| |
13 |
T |
|
Hurricane |
| |
15 |
R |
|
Hurricane |
| |
20 |
T |
3.1 |
Fourier Series |
|
|
22 |
R |
3.2 |
Convergence Theorems |
|
|
27 |
T |
3.3 |
Even/Odd Extensions |
| |
29 |
R |
3.4-3.5 |
Diff/Int of Fourier Series |
|
Oct |
4 |
T |
|
Midterm |
| |
6 |
R |
|
Fall Vacation |
| |
7 |
F |
|
Fall Vacation |
| |
11 |
T |
4.1-4.3 |
Wave Equation Derivation/BCs |
| |
13 |
R |
4.4-4.5 |
Solutions of Wave Equations |
|
|
18 |
T |
5.1-5.3 |
Sturm-Liouville Problems |
| |
X |
X |
5.4-5.5 |
Examples/Self-Adjoint
Operators |
| |
20 |
R |
5.6-5.8 |
SL Theory/Other Problems |
| |
25 |
T |
6.1-6.3 |
Finite Difference Method |
| |
X |
X |
6.3 |
Matlab Implementation |
| |
27 |
R |
6.3 |
Difference Equations/Stability |
|
Nov |
1 |
T |
7.1-7.3 |
Higher Dims/Rectangular
Membranes |
| |
3 |
R |
7.4-7.6 |
Helmholtz Equation |
| |
8 |
T |
7.7 |
Circular Membranes |
| |
10 |
R |
7.7-7.8 |
Bessel Functions |
| |
15 |
T |
7.9 |
Laplace's Equation -
Cylindrical |
| |
17 |
R |
7.10 |
Spherical Problems |
| |
22 |
T |
7.10 |
Legendre Polynomials |
| |
23 |
W |
|
Thanksgiving |
| |
24 |
R |
|
Thanksgiving |
| |
25 |
F |
|
Thanksgiving |
|
|
29 |
T |
7.10 |
Spherical Harmonics |
|
Dec |
1 |
R |
7.10 |
Radial Functions |
|
Dec |
9 |
F |
|
Final Exam
- 3:00 |