M. R. S. Kulenovic and Orlando Merino, Discrete Dynamical Systems and Difference Equations with Mathematica,
Chapman&Hall/CRC Press, 2002. www.amazon.com
Lecture Notes by E.A. Grove, M. R. S. Kulenovic and G. Ladas
Prerequisites: MTH 142, 243
Exams and Grading:
Course grade will be determined based on homework, take home quizzes, mid-term and final exams, Maple projects and the final project. The exams could be in part of the take home variety.
TWO TESTS: 45 percent
Maple PROJECTS, QUIZZES, AND HOMEWORK: 35 percent
FINAL PROJECT: 20 percent
The topics that will be covered are:
basic theory for linear difference equations
chaos for first order difference equations
The use of computer algebra systems Maple
is required. Maple
worksheets dealing with the different problems in theory will be provided
and demonstrated in the class.
Most of the exams will require some Maple calculation.
Instructor: Dr. M. Kulenovic Office: Tyler 216
Online information: www.math.uri.edu/courses or www.math.uri.edu/~kulenm
Office hours: M, T, W 1-2 and by appointment.
Time: T,Th: 2-3:15
1. Difference Equations at URI
2. The Dynamical Systems at Boston University
3. Sprott's gateway
rsolve first order equations
rsolve higher order equations and systems
Time Series Plots
Second Order Equations and Systems