| Date |
|
Day |
Topics
|
| Jan |
7 |
W |
Introduction |
|
9 |
F |
Separable Equations |
|
12 |
M |
First Order Equations |
|
14 |
W |
Free Fall/Mixing |
|
16 |
F |
Population/Autonomous Eqns |
| |
19 |
M |
Holiday |
|
21 |
W |
Software for ODEs |
|
23 |
F |
Bifurcations |
|
26 |
M |
Second Order -Const Coeff I |
|
28 |
W |
Linear Independence/Wronskian |
|
30 |
F |
Reduction of Order |
| Feb |
2 |
M |
Const Coeff II - Complex Roots |
|
4 |
W |
Review |
| |
6 |
F |
Exam I |
|
9 |
M |
Undetermined Coeffs |
|
11 |
W |
Variation of Parameters |
|
13 |
F |
Simple Harmonic Motion |
|
16 |
M |
Resonance |
|
18 |
W |
Euler's Method |
|
20 |
F |
Rung-Kutta Method |
|
23 |
M |
Taylor Series Method |
|
25 |
W |
Power Series Method |
|
27 |
F |
Cauchy-Euler Equations |
| Mar |
1 |
M |
Frobenius Method |
|
3 |
W |
Review |
| |
5 |
F |
Exam II |
|
Spring Vacation - March 6-14
|
|
15 |
M |
Legendre's Equation |
|
17 |
W |
Legendre Polynomials |
|
19 |
F |
Bessel's Equation |
|
22 |
M |
Bessel Functions |
|
24 |
W |
Laplace Transform |
|
26 |
F |
Solution of IVPs |
|
29 |
M |
Heaviside Function |
|
31 |
W |
Impulse Function |
| Apr |
4 |
F |
Convolution |
|
5 |
M |
Review |
| |
7 |
W |
Exam III |
| |
8 |
R |
Vacation |
| |
9 |
F |
Vacation |
|
12 |
M |
Systems of ODEs |
| |
14 |
W |
General Solutions |
|
16 |
F |
System Examples |
|
19 |
M |
Stability/Phase Portrait |
|
21 |
W |
Matrix Methods |
|
23 |
F |
Eigenvalue Problems |
|
26 |
M |
Nonlinear Systems and Beyond |