MTH 545/URI
Ordinary Differential Equations I
Course Information, Fall 2012
Text: L. Perko, Differential Equations and Dynamical Systems and handouts
Supporting literature:
W.
Kelley and A. Peterson, The
theory of Differential Equations, Classical and Qualitative, Springer, 2010.
S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos
Prerequisites: Graduate standing , exposure to basic ordinary differential equations and linear algebra
Exams and Grading:
Course grade will be determined based on homework
and mid-term exam and final project.
The topics that will be covered are:
existence and uniqueness theorems
continuous dependence on parameters and initial
conditions
oscillation and comparison theorems
elements of stability theory
invariant manifolds
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. Some MATHEMATICA and/or MAPLE
notebooks will be provided and demonstrated in the class. Most of the exams may
require the substantial use of MAPLE or MATHEMATICA.
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: 1 – 2, F: 11-12 and by appointment.
Time: M,W: 3:00PM - 4:15
Room: Lippitt Hall room 201