|
Date |
|
Day |
Chap |
Topic |
|
Aug |
22 |
R |
1
|
Intro - BVPs and PDEs, Heat Equation |
| |
27 |
T |
1 |
Separation of Variables - Heat Equation |
| |
29 |
R |
1 |
Wave Equation - d'Alembert's Solution |
|
Sep |
2 |
M |
|
Labor Day |
| |
3 |
T |
1 |
Semi-infinite/Finite String |
|
|
5 |
R |
1 |
Classification of Second Order PDEs |
| |
10 |
T |
1 |
Nonhomogeneous Heat Equation, BCs |
| |
12 |
R |
1 |
Duhamel's Principle |
| |
17 |
T |
1 |
Laplace's Equation in 2D |
| |
19 |
R |
2 |
Fourier Series |
| |
24 |
T |
2 |
Examples |
|
|
26 |
R |
2 |
Fourier Sine/Cosine Series |
| Oct
|
1 |
T |
2 |
Solutions of Heat and Wave
Eqns/Numerical Solutions |
|
|
3 |
R |
3 |
Numerical Solution of PDEs -
Finite Differences/Stability |
|
|
8 |
T |
3 |
Stability Analysis/MATLAB |
| |
10 |
R |
|
Fall Vacation |
| |
11 |
F |
|
Fall Vacation |
|
|
15 |
T |
|
Midterm |
|
|
17 |
R |
4 |
Sturm-Liouville BVPs |
| |
22 |
T |
4 |
Properties of SL BVPs |
|
|
24 |
R |
4 |
Eigenfunction Expansions |
| |
29 |
T |
5 |
Function Spaces |
| |
31 |
R |
5 |
Classical Orthogonal Polynomials |
| |
5 |
T |
5 |
Legendre Polynomials/Bessel Functions |
| Nov |
7 |
R |
6 |
2D Wave Eq: Rectangular Membrane |
|
|
12 |
T |
6 |
Circular Symmetry/Poisson Integral Formula |
|
|
14 |
R |
6 |
3D Laplace Equation/Spherical Symmetry |
| |
19 |
T |
6 |
Spherical Harmonics |
| |
21 |
R |
7 |
1D - Quasilinear PDEs |
| |
26 |
T |
7 |
Conservation Laws and Shocks |
| |
27 |
W |
|
Thanksgiving |
| |
28 |
R |
|
Thanksgiving |
| |
29 |
F |
|
Thanksgiving |
|
|
3 |
T |
7 |
Nonlinear PDEs and Beyond |
|
Dec |
12 |
R |
|
Final Exam
- 8:00 AM |