|
Date |
|
Day |
Sec |
Topics |
| Jan |
20 |
W |
1.1 |
Introduction - Free Fall |
| |
22 |
F |
1.2.1 |
Separable ODEs |
| |
25 |
M |
1.2.2 |
Linear First Order ODEs |
| |
27 |
W |
1.2.3 |
Exact and Inexact Equations |
| |
29 |
F |
1.3 |
Growth and Decay,
Population, Cooling |
| Feb |
1 |
M |
1.3 |
Mixing, Orthogonal Families, Computer
Software |
| |
3 |
W |
2.1 |
Second Order ODEs |
|
5 |
F |
2.2 |
Theory - Linear Independence/Wronskian |
| |
8 |
M |
2.1 |
Constant Coefficient Equations -
Distinct, Real Roots |
| |
10 |
W |
2.2 |
Equal Roots and the Method of Reduction
of Order |
|
12 |
F |
2.2 |
Constant Coefficient Equations -
Complex Roots |
| |
15 |
M |
2.3 |
Applications (Harmonic Oscillators) |
|
|
17 |
W |
|
Exam I |
| |
19 |
F |
2.4.1 |
Method of Undetermined Coefficients |
| |
22 |
M |
2.4.4 |
Modified Method of Undetermined Coefficients/Simulink |
| |
24 |
W |
2.4.2 |
Method of Variation of Parameters |
| |
26 |
F |
2.5 |
Cauchy-Euler Equations |
| Mar |
1 |
M |
2.5/3.1 |
Forced Cauchy-Euler Equations, Numerical
Solutions |
|
3 |
W |
3.1 |
Euler's Method |
|
5 |
F |
3.2, 3.4 |
Runge-Kutta/Applications/Project Ideas |
|
|
8 |
M |
4.1 |
Taylor Series Method |
|
10 |
W |
4.2 |
Power Series Solutions |
|
12 |
F |
4.3/4.5 |
Legendre Polynomials,Regular and Singular Points |
| |
15 |
M |
4.4 |
Frobenius Method |
| |
17 |
W |
4.6-4.7 |
Bessel and Gamma Functions |
|
|
19 |
F |
|
Exam II |
| |
22 |
M |
5.1 |
Laplace Transform |
| |
24 |
W |
5.2 |
Laplace Transform Properties |
| |
26 |
F |
5.3 |
Solution of IVPs, Partial Fractions |
| |
29 |
M |
5.4.1 |
Heaviside function, Shift Properties |
| |
31 |
W |
5.4.3 |
Systems with Impulses |
|
Apr |
2 |
F |
|
No Class |
| |
5 |
M |
5.5 |
Convolution Theorem |
| |
7 |
W |
6.1 |
Linear Systems |
| |
9 |
F |
6.2 |
Direction Fields and Solution Behavior |
| |
12 |
M |
6.3 |
Matrix Formulation, Fundamental Solution |
| |
14 |
W |
6.4 |
Eigenvalue Problems |
| |
16 |
F |
6.5 |
More Linear Systems |
|
19 |
M |
6.61 |
Linear Systems Behavior - Summary |
|
|
21 |
W |
|
Exam III |
|
23 |
F |
7.2-7.4 |
First Order Autonomous Eqns and
Bifurcations |
| |
26 |
M |
7.6 |
Nonlinear Systems and Stability |
| |
28 |
W |
7.7 |
More Nonlinear Systems |
|
|
29 |
R |
|
Reading Day |
|
Apr |
30 |
F |
|
Final 8:00-11:00 AM |