Math 313-1, R. Clark Robinson
(Approximate) Class Assignments, Winter 2003

Book: "An Introduction to Dynamical Systems: Iteration of Functions"
by R. Clark Robinson

Homework 200
Midterm Test 1 100
Midterm Test 2 100
Final 200
Total 600

DateSection and Homework
Jan 6Introduction, Chapter 1, (ASY 1.1)
7Video
8Periodic points 2.1, (ASY 1.6)
10Graphical method 2.2, (ASY 1.2)
13Stability 2.3, (ASY 1.3 & 1.4)
14Homework 1: 2.1.2, 2.1.3, 2.1.4, 2.2.1
15Logistic family 2.3.2, (ASY 1.5)
17Logistic family 2.3.2, (ASY 1.5)
20Period doubling 2.5, (ASY 1.5 & 12.1)
21Homework 2: 2.3.1, 2.3.6, 2.3.8, 2.3.9
22 Schwarzian derivative 2.4, (ASY 3.5)
24Applications 2.7:
27Review
28Test 1 (covers sections 2.1 to 2.5 and 2.7); Homework 3: 2.4.1, 2.4.2, 2.7.1
29Conjugacy 2.6, (ASY 3.3)
31 Transition graphs 3.1 (ASY 1.8)



Math 313-1, Winter 2003

Feb 3 Transition graphs 3.1 (ASY 1.8)
4Homework 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:
11Homework 5: 3.1.1, 3.1.3, 3.2.1ab, 3.2.3
12Sensitive dependence 3.3, (ASY 1.7)
14 Cantor sets 3.4, (ASY 4.1)
17 Subshifts 3.5, (ASY 6.3)
18Homework 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:
24Review
25Test 2; Homework 7: 3.5.1
26Limit sets 4.1, (ASY 6.1)
28 Chaotic attractors 4.2, (ASY 6.2);
Mar 3 Expanding maps with discontinuites 4.2.1
4Homework 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)
10Review
11No Class; Problems to work but not turn in: 4.2.2, 4.2.3, 4.3.1
12Review
14Review
21 Final, 9-11 AM (Final cannot be rescheduled)

Updates: http://www.math.northwestern.edu/~clark/313/2001/hw1.html