|
Date |
|
|
Chap |
Topics |
|
Aug |
20 |
W |
1 |
First/Second Order ODE Review |
|
25 |
M |
1/2 |
Cauchy-Euler/Linear Systems/Equilibrium Solutions |
|
27 |
W |
2 |
Trajectories/Polar Forms/Direction Fields |
|
Sep |
1 |
M |
|
Labor Day |
|
3 |
W |
2 |
Maple/Matrix Formulation/Eigenvalue Problems |
|
8 |
M |
2 |
Fundamental and General Solutions |
|
10 |
W |
2 |
Nonhomogeneous Systems |
|
15 |
M |
2 |
Applications |
|
17 |
W |
3 |
Bifurcations |
|
22 |
M |
3 |
Nonlinear
Pendulum |
|
24 |
W |
3 |
Stability of Nonlinear Systems |
|
|
29 |
M |
3 |
Limit Cycles |
|
Oct |
1 |
W |
|
Midterm |
| |
6 |
M |
|
Vacation |
| |
7 |
T |
|
Vacation |
|
8 |
W |
4 |
BVPs and the Heat Equation |
|
13 |
M |
4 |
Linear Algebra/Eigenfunction Expansions |
|
15 |
W |
5 |
Fourier Series I |
|
20 |
M |
5 |
Fourier Series II |
|
22 |
W |
5 |
Sine and Cosine Series |
|
27 |
M |
6 |
Sturm-Liouville Theory I |
|
29 |
W |
6 |
Sturm-Liouville Theory II |
|
Nov |
3 |
M |
6 |
Eigenfunction Expansions |
|
5 |
W |
7 |
Classical Orthogonal Polynomials |
|
10 |
M |
7 |
Legendre Polynomials |
|
12 |
W |
7 |
Fourier-Legendre Series/Gamma Function/Bessel |
|
17 |
M |
7/8 |
Bessel Functions/Variation of Parameters |
|
19 |
W |
8 |
Temporal and BVP Green's Functions |
|
24 |
M |
8 |
BVP Green's Functions Properties |
| |
26 |
W |
|
Thanksgiving |
| |
27 |
R |
|
Thanksgiving |
| |
28 |
F |
|
Thanksgiving |
|
Dec |
1 |
M |
8 |
Dirac Delta Function |
|
3 |
W |
8 |
Series Representations - Green's Functions |
| |
5 |
|
|
Final Exam 7:00 PM |