Homework | 200 |
Midterm Test 1 | 100 |
Midterm Test 2 | 100 |
Final | 200 |
Total | 600 |
Date | Section and Homework |
---|---|
Jan 6 | Introduction, Chapter 1, (ASY 1.1) |
7 | Video |
8 | Periodic points 2.1, (ASY 1.6) |
10 | Graphical method 2.2, (ASY 1.2) |
13 | Stability 2.3, (ASY 1.3 & 1.4) |
14 | Homework 1: 2.1.2, 2.1.3, 2.1.4, 2.2.1 |
15 | Logistic family 2.3.2, (ASY 1.5) |
17 | Logistic family 2.3.2, (ASY 1.5) |
20 | Period doubling 2.5, (ASY 1.5 & 12.1) |
21 | Homework 2: 2.3.1, 2.3.6, 2.3.8, 2.3.9 |
22 | Schwarzian derivative 2.4, (ASY 3.5) |
24 | Applications 2.7: |
27 | Review |
28 | Test 1 (covers sections 2.1 to 2.5 and 2.7); Homework 3: 2.4.1, 2.4.2, 2.7.1 |
29 | Conjugacy 2.6, (ASY 3.3) |
31 | Transition graphs 3.1 (ASY 1.8) |
Feb 3 | Transition graphs 3.1 (ASY 1.8) | |
4 | Homework 4: 2.5.1, 2.6.1, 3.1.2 | |
5 | Sharkovskii Theorem 3.1.1 (ASY Challenges 1 & 3) | |
7 | Topological transitivity 3.2: | |
Feb 10 | Topological transitivity 3.2: | |
11 | Homework 5: 3.1.1, 3.1.3, 3.2.1ab, 3.2.3 | |
12 | Sensitive dependence 3.3, (ASY 1.7) | |
14 | Cantor sets 3.4, (ASY 4.1) | |
17 | Subshifts 3.5, (ASY 6.3) | |
18 | Homework 6: 3.3.1 (see corrections for correct statement), 3.3.5 (extra), 3.4.1, 3.4.2 | |
19 | Subshifts for logistic map 3.5.1: Subshifts of finite type3.5.2: | |
21 | Applications 3.6: | |
24 | Review | |
25 | Test 2; Homework 7: 3.5.1 | |
26 | Limit sets 4.1, (ASY 6.1) | |
28 | Chaotic attractors 4.2, (ASY 6.2); | |
Mar 3 | Expanding maps with discontinuites 4.2.1 | |
4 | Homework 8: 4.1.1, 4.2.1, 4.2.6 (extra) | |
5 | Lyapunov exponents 4.3, (ASY 5.1) | |
7 | Lyapunov exponents 4.3, (ASY 5.1) | |
10 | Review | |
11 | No Class; Problems to work but not turn in: 4.2.2, 4.2.3, 4.3.1 | |
12 | Review | |
14 | Review | |
21 | Final, 9-11 AM (Final cannot be rescheduled) |