APPM 3010 Schedule (Fall 2016) |
Wk |
Date |
Ch |
Sec |
Topic |
Assignments |
Due |
1 |
Aug 22 |
1 |
|
Terminology |
|
|
|
|
24 |
2 |
2,4 |
One-D flows, qualitative analysis |
|
|
|
|
26 |
|
|
Chaos, the video |
Ch 2 |
§1 #1, 2, 4; §2 #3, 8; §3 #6; §4 #4; §8 #2, 6 |
7-Sep |
2 |
29 |
|
|
Discussion Groups—Video |
|
|
|
|
31 |
|
4,8 |
Linear Stability, Numerics |
|
|
|
|
Sept 2 |
3 |
1,2 |
Bifurcations: Saddle Node & transcritical |
|
|
|
3 |
Sept 5 |
|
LABOR DAY |
|
|
|
|
7 |
|
|
HW Presentations, Bifurcation Theory |
|
|
|
|
9 |
3 |
4,5 |
Bead on a Wire |
Ch 3 |
§1 #1, 2, 5; §2 #4, 5; §4 #4, 12; §5 #4; §7 #5 |
23-Sep |
4 |
12 |
|
5,6 |
Catastrophe (cusp bifurcations) |
|
|
|
|
14 |
10 |
1 |
Fixed Points, and Cobwebs |
|
|
|
|
16 |
|
2 |
Bifurcations etc. Logistic Map |
|
|
|
5 |
19 |
|
2 |
Logistic Map, Part II |
|
|
|
|
21 |
|
|
Logistic Lab Logistic Map: Computer Lab |
Meet in Claire Rm 111 at Noon!!! |
Lab is HW#3 |
3-Oct |
|
23 |
|
3 |
HW Presentations and Period 2 |
|
|
|
6 |
26 |
|
4 |
Period 3 -> Chaos |
|
|
|
|
28 |
|
5 |
Lyapunov Exponents |
|
|
|
|
30 |
|
6 |
Lyapunov and Chaos |
|
|
|
7 |
Oct 3 |
|
4 |
Periodic Windows |
Ch 10 |
§1 #10,11; §2 #4,6,8; §3 #3,7; §4 #2,6; §6 #5 |
14-Oct |
|
5 |
|
6 |
Universality |
|
|
|
|
7 |
|
7 |
Renormalization |
|
|
|
8 |
10 |
|
|
Arcadia by Tom Stoppard |
A class reading of several scenes |
|
|
|
12 |
11 |
|
Fractals |
The Hidden Dimension-Nova Video |
|
|
|
14 |
|
1,2 |
Cantor Sets, Uncountability |
|
|
|
|
17 |
|
3 |
Self-Similarity, Dimension |
|
|
|
9 |
19 |
5 |
|
Classification of Linear Systems |
Ch 5 |
§1 #7,10; §2 #4,8,10 E.C. #14 |
Nov-9 |
|
21 |
6 |
1,2 |
Linear systems, Nullclines |
Ch 6 |
§1 #4,10; §3: #2,6,7, §5: #7 |
Nov-9 |
10 |
24 |
|
|
Computer Demos, Phase Plane |
|
|
|
|
26 |
|
3 |
Linearization about Fixed Points |
|
|
|
|
28 |
|
5 |
Conservative Systems |
|
Project Proposal Due! |
|
11 |
31 |
7 |
1 |
Limit Cycles Def. |
|
|
|
|
Nov 2 |
|
|
Gradient Systems and Lyapunov Functions |
|
|
|
|
4 |
|
2 |
Poincare Bendixson Theorem |
|
|
|
12 |
7 |
|
3 |
Lorenz Model-the Water wheel |
|
|
|
|
9 |
9 |
1 |
HW in class |
|
|
|
|
11 |
|
2 |
Lorenz Analysis |
|
|
|
13 |
14 |
|
|
Lorenz Analysis-Lyapunov |
|
|
|
|
16 |
|
|
Poincare & Stoboscopic Maps, Std Map |
|
|
|
|
18 |
|
|
Fixed Points and Stability |
|
|
|
14 |
|
|
|
FALL BREAK |
|
23 |
|
|
FALL BREAK |
|
25 |
|
|
FALL BREAK |
15 |
28 |
|
|
Henon Attractor, Dimension |
|
|
Dec 2 |
|
30 |
12 |
2 |
Std Map Lab |
Meet in Claire Rm 111 at Noon!!! |
|
|
|
Dec 2 |
12 |
1 |
Baker's Transformation, Horseshoe |
|
|
|
16 |
5 |
|
|
Presentations |
Justin Tyse and Elliot Shugerman |
|
|
|
7 |
|
|
Presentations |
Cody Sharp and Maria Pazos |
|
|
|
9 |
|
|
Presentations |
Kevin Powell and Rachel Robey |
|
Written Projects Due |
|
13 |
|
Final |
Presentations 1:30-5:00PM |
Everyone Else |
|
|