Ordinary Differential Equations I
Course Information, Fall 2012
Text: L. Perko, Differential Equations and Dynamical Systems and handouts
W. Kelley and A. Peterson, The theory of Differential Equations, Classical and Qualitative, Springer, 2010.
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
Lyapunov's second method and first integrals
applications to population dynamics
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
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