Homework | 200 |
Midterm Test | 100 |
Project | 50 |
Final | 200 |
Total | 550 |
Date | Section and Homework | |
---|---|---|
Mar 31 | 4.4.1 Measures (ASY 6.4) | |
April 2 | Frequency measures 4.4.2, (ASY 6.5) | |
4 | 4.4.2 Frequency measures (ASY 6.5) | |
7 | 4.4.3, Invariant measures for expanding maps (ASY 6.6) | |
8 | Homework 1: 4.4.1, 4.4.2, 4.4.3 (see prob.pdf for these last two problems) | |
9 | 5.1 Dynamics of Linear Maps (ASY 2.3 & 2.4) | |
11 | 5.1 Dynamics of Linear Maps (ASY 2.3 & 2.4) | |
14 | 5.2 Stability of periodic points (ASY 2.5) | |
15 | Homework 2: 5.1.1 (see chapter handout or prob.pdf) | |
16 | 5.3 Stable manifolds (ASY 2.6 & 10.1) | |
18 | 5.3.1, 5.3.2 (ASY 10.5), & 5.3.3 Other topics about stable manifolds | |
21 | 6.1 Geometric horseshoe (ASY 5.6) | |
22 | Homework 3: 5.2.3, 5.2.6, 5.3.1 | |
23 | 6.2.1 Correctly aligned boxes (ASY 5.4) | |
25 | 6.2.2 Markov partitions (ASY 5.5) | |
28 | 6.3 Homoclinic points and horseshoes (ASY 10.2) | |
29 | Homework 4: 6.1.1, 6.1.3, 6.2.1, 6.3.1 (6.2.2 on latest version of chapter) | |
30 | 6.3 Homoclinic points and horseshoes (ASY 10.2) | |
May 2 | 6.6: Attractors (ASY 6.1) |
May 5 | 6.4.1 Sensitive dependence and chaotic attractors (ASY 6.2) | |
6 | Test; No homework | |
7 | 6.5 Lyapunov exponents (ASY 2.7 & 5.1 ) | |
9 | 6.5 Lyapunov exponents (ASY 5.1 & 5.2 ) | |
12 | 6.5 Lyapunov exponents (ASY 5.1 & 5.2 ); 6.6 Applications | |
13 | Homework 5: 6.3.1 (heteroclinic points), 6.4.1, 6.4.4 (modified solenoid), 6.5.2, 6.5.3 | |
14 | 7.1 Box dimension (ASY 4.5) | |
16 | 7.1 Box dimension (ASY 4.5) | |
19 | 7.3 Iterated function systems (ASY 4.2) | |
20 | Homework 6: 7.1.1, 7.1.2, 7.1.6, 7.1.7 | |
21 | 7.3 Iterated function systems (ASY 4.2) | |
23 | 7.3 Iterated function systems (ASY 4.2) | |
26 | Memorial Day | |
27 | Homework 7: 7.3.1, 7.3.3, 7.3.6 | |
28 | Poincare map of a system of differential equations, topic will not be on final | |
30 | Reconstructing an attractor from data (ASY Chapter 13), topic will not be on final | |
June 2 | Review | |
3 | No Class | |
4 | Review | |
6 | Review | |
10 | Final, 9-11 AM |