67-717: Nonlinear Dynamics and Chaos (SUMMER 2007)


COURSE SYLLABUS: - HTML - PDF


MAPLE WORKSHEETS:


Maple Basics for Differential Equations - PDF - HTML

Here is a Java application for plotting slope fields, phase portraits and solution curves for differential equations and much more. The author is Dr. John Polking of Rice University. To access it click here.

Maple Worksheet 1: Logistic Model - MWS
Maple Worksheet 2: Graphical iteration of a quadratic map - MWS
Maple Worksheet 3: Graphical iteration of the logistic map - MWS
Maple Bifurcation Diagrams - MWS
Maple Worksheet 4: Graph Arrays - MWS
Maple Worksheet 5: CobWebb Diagrams Animation - MWS
Worksheets 1 through 4 are adapted from S. Lynch "Dynamical Systems with Maple" Book and Worksheet 5 is adapted from D. Richards "Advanced Mathematical Methods with Maple" Book.
Lecture Notes on the Logistic Equation - PDF
Maple worksheet 6: Using the DEtools package -MWS

MAPLE EXERCISES:
Maple Problem Set 1 Solutions: - MWS
Maple Problem Set 2 Solutions: - MWS

HOMEWORK:
Homework Set 1: -
PDF
Homework Set 2: - PDF PLEASE HAND IN PROBLEMS 6,9,11,18,22.
Homework Set 3: -
PDF PLEASE HAND IN PROBLEMS 1, 6, 13, 14, 16, 17, 18, 21, 22, 23

HOMEWORK SOLUTIONS

Homework Set 1 Solutions: - PDF
Homework Set 2 Solutions: -PDF
Homework Set 3 Solutions: -PDF

TEST SOLUTIONS
Test 1 Solutions: -
PDF
Test 2 Solutions: -PDF