### 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) 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)