MTH 542/URI
Global Character of Difference Equations I
Course Information, Fall 2013
Text: M. R. S. Kulenovic and O. Merino, Advanced Topics in Difference Equations (manuscript in progress) and handouts
Supporting literature:
M. R. S. Kulenovic and O. Merino, Discrete
Dynamical Systems and Difference Equations with
Mathematica,
Chapman&Hall/CRC Press, 2002.
S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos
Prerequisites: Graduate standing , exposure to advanced calculus and linear algebra
Exams and Grading:
Course grade will be determined based on
homework (40%) and mid-term exam (30%) and final project (30%).
The topics that will be covered are:
elements of stability theory
invariant manifolds
global attractivity results
Lyapunov's second method and first integrals
applications to population dynamics
Computer Requirements
The use of computer algebra systems such as MATHEMATICA, MAPLE,
and Scientific Notebook is encouraged. Some computer lectures in some of these
systems will be presented, and provided. Comprehensive MATHEMATICA packages will be provided through SAKAI.
Instructor: M. Kulenovic
e-mail: kulenm@math.uri.edu
Online information: www.math.uri.edu/courses
or www.math.uri.edu/~kulenm
Office hours: M,W,F: 11 – 12 and by appointment.
Time: M,W: 4:30PM - 5:45
Room: Lippitt Hall room 201