Math 313-2 Class Assignments

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