The following schedule is only tentative and is subject to change. Get in the habit of checking the last time the page was updated: Monday, February 12, 2007, 4:15 PM.
|
Wk |
D |
Date |
Due |
|
Topic |
|
1 |
M |
1/8 |
|
1.1 |
Modeling
with Differential Equations |
|
W |
1/10 |
Lab 0: Ready, set, go |
1.2 |
Analytic
tools: Separation of Variables |
|
|
2 |
M |
1/15 |
Tue 1/16: HW 1.1,1.2 |
|
** MLK day ** |
|
W |
1/17 |
Lab 1.1 Learning |
1.3, 1.4 |
Geometry+Numerics:
Slope+Euler |
|
|
3 |
M |
1/22 |
H 1.3, 1.4 |
1.5 |
Existence
and Uniqueness |
|
W |
1/24 |
L 1.3 Harvesting |
1.6 |
Phase
Line and Equilibria. |
|
|
4 |
M |
1/29 |
H 1.5, 1.6, 1.7 |
1.7 |
Bifurcations |
|
W |
1/31 |
L (IDE) Bifurcations |
1.8 |
Linear Nonhomogeneous |
|
|
5 |
M |
2/5 |
H 1.8, 1.9 |
1.9 |
Integrating
Factors |
|
W |
2/7 |
|
2.1 |
Modeling
with Systems |
|
|
6 |
M |
2/12 |
H 2.1, 2.2 |
2.2 |
Geometry
of Systems: Direction Fields |
|
W |
2/14 |
L 2.1 Magnets |
2.3, 2.4 |
Analytic
Solutions. Numerical tools |
|
|
7 |
M |
2/19 |
H 2.2-2.4 |
3.1 |
Linear Systems. Linearity Principle
|
|
W |
2/21 |
L 2.2 Species |
Test 1 |
Chapters 1 and 2
|
|
|
8 drop |
M |
2/26 |
H 2.5, 3.1 |
3.2 |
Straight
Solutions (real Eigenvalues) |
|
W |
2/28 |
L 3.3 Mass in Space |
3.3 |
Phase
Plane Portraits |
|
|
9 |
M |
3/5 |
|
|
** Spring Break ** |
|
W |
3/7 |
|
|
** Spring Break ** |
|
|
10 |
M |
3/12 |
H 3.2, 3.3 |
3.4, Appx
B |
Complex
Eigenvalues. Portraits |
|
W |
3/14 |
L 16 Lin Classified |
3.5, 3.7 |
Double
Roots. Classification |
|
|
11 |
M |
3/19 |
H 3.5, 3.7 |
3.6 |
Second-Order |
|
W |
3/21 |
L 3.4 3-D Classified |
4.1, 4.2 |
Forced
Oscillations |
|
|
12 |
M |
3/26 |
H 3.5, 4.1 |
4.2, 4.3 |
Resonance:
Numerical Approach |
|
W |
3/28 |
L 4.1 Magnets kicked |
4.3 |
Resonance:
Analytical Approach |
|
|
13 |
M |
4/2 |
H 4.2, 4.3 |
5.1 |
Nonlinear:
Equilibrium Analysis |
|
W |
4/4 |
L 5.3 Predator-Prey |
5.2 |
Nonlinear:
Qualitative Analysis |
|
|
14 |
M |
4/9 |
H 5.1, 5.2 |
5.3 (5.5) |
Hamiltonian
(Lorenz) |
|
W |
4/11 |
L 5.2 Swing High |
8.1 |
Discrete
Logistic |
|
|
15 |
M |
4/16 |
Test 2 |
8.2 |
Fixed and
Periodic Points |
|
W |
4/18 |
L 8.1 |
8.3 |
Discrete
Bifurcations |
|
|
16 |
M |
4/23 |
H 8.1-8.3 |
8.4, 8.5 |
Chaos |
|
W |
4/25 |
Lab of your choice |
|
**
Reading Day ** |
|
|
Fin |
Fri |
4/27 |
1:15-3:45 pm |
|
** Final
test ** |