Math 313-2, R. Clark Robinson Class Assignments, Spring 2003

Book: Notes to be available on Blackboard

 Homework 200 Midterm Test 100 Project 50 Final 200 Total 550

DateSection and Homework
Mar 314.4.1 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)
8Homework 1: 4.4.1, 4.4.2, 4.4.3 (see prob.pdf for these last two problems)
95.1 Dynamics of Linear Maps (ASY 2.3 & 2.4)
115.1 Dynamics of Linear Maps (ASY 2.3 & 2.4)
145.2 Stability of periodic points (ASY 2.5)
15Homework 2: 5.1.1 (see chapter handout or prob.pdf)
165.3 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
216.1 Geometric horseshoe (ASY 5.6)
22Homework 3: 5.2.3, 5.2.6, 5.3.1
236.2.1 Correctly aligned boxes (ASY 5.4)
256.2.2 Markov partitions (ASY 5.5)
286.3 Homoclinic points and horseshoes (ASY 10.2)
29Homework 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)

Math 313-2, Spring 2003

 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