MTH 442
Introduction to Difference Equations

Course Information and Syllabus, Spring 2006


M. R. S. Kulenovic and Orlando Merino, Discrete Dynamical Systems and Difference Equations with Mathematica, 
Chapman&Hall/CRC Press, 2002.    

Lecture Notes  by E.A. Grove, M. R. S. Kulenovic and G. Ladas 

Prerequisites:  MTH 243

Exams and Grading:

Course grade will be determined based on homework, 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 


FINAL PROJECT: 20 percent 

The topics that will be covered are:

basic theory for linear difference equations
stability theory
periodic points
chaos for first order difference equations

Computer Requirements

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 be MAPLE-aid exams.

Instructor: Dr. M. Kulenovic                               Office: Tyler 216

Phone: 44436                                           
Online information: or

Office hours: M, T, W: 1-2  and by appointment. 

Time:  T,Th: 2-3:15  

Useful links

1.  Difference Equations at URI

2.  The Dynamical Systems at Boston University

3.  Sprott's gateway

4.  Fractint 

  Maple worksheets:

Maple  format:

Stair-step diagrams 

Time Series Plots 

Second Order Equations and Systems