MATH 2030

Dynamical Systems

A series of 12 Mathematica notebooks with links to the Experiments in our text.

Date	Topics	Notebooks
29, 31 Oct.	Chap. 10: Chaos	Chaos Slides
2 Nov	Chaos Examples	Examples Chaos
5 Nov	Histograms: Sensitivity	Histogram
7 Nov	Chap 11: Period Three	Period Three Notes
	Example: No Period Three	No Period Three
Homework: Extra Credit - Due, 9 Nov.	Chapter 10	p. 131: 1, 4, 8, 21-23
	Example: Period Three Window: Subshift	Finite Type Subshift
9 Nov	Chapter 11: Orbits	Orbit Diagram
12 Nov	Chapter 11: Period Order
Homework: Extra Credit - Due, 14 Nov.	Chapter 11	p. 151: 1,4,7, 10-14
14 Nov	Hour Test Review	Exam 2 Review
16 Nov	Second Hour Test: Chap. 7-11	Exam Answers
19 Nov	Chapter 13: Newton	Newton Method
21 Nov	Chapter 14: Iterated Function Systems	Examples: Yale Course
Nov. 28, 30	Chapter 15: Complex Functions
Dec. 1, 3, 5	Chapter 16: Julia Sets	Additional Notebooks
Tues., Dec 11	Final Exam: 5:30- 7:30 pm

Date	Topics	Notebooks
27 &29, August	Chapter II:	Babylonian Root Method
31 August	Chapter III: Orbit Examples	Orbits: NestList
4 September	Chapter Three: Orbits under Iteration	Iteration
6 September	Chapter IV: Graphical Analyis & Cobwebs	Mathematica: Cobwebs

10 September	Many Cobwebs	In Class:10 Sept.
12 September	V: Rates Of Convergence	Examples
	Function Definition: Cases	Cases
19 September	Fixed Point Theorem	Notes
24 September	Bifurcation: Chap 6	Bifurcation Cobwebs
28 September	Homework II answers	Answers in Mathematica
	Cantor Map	Cantor Map
3 October	Cantor/Hour Exam Review	Review
10 October	First Hour Exam

15 October	First Hour Exam Answers	Written Answers
		Computational Ans.
19 October	Function: Cantor is non-wandering set	Cantor
	Sequence Space Notes	Lecture
Homework	Chap. 7: 8,10,11,14,15,21; Chap. 9:2,6,7,10,12,14,17,18	Due: Oct. 29
24 October	Sequences & Qc Iterates	Quad Cantor Seq.
Tues., Dec 11	Final Exam: 5:30- 7:30 pm

Neal W. Stoltzfus Fall 2007