**MTH 546/URI**

**Ordinary
Differential Equations II**

**Course
Information, **

**Spring 2017**

**Text**:
J. Hale and H. Kocak, Dynamics
and Bifurcation, Springer, 1996

Supplementary texts:

L. Perko, Differential
Equations and Dynamical Systems * *
,Springer 2006

Linda Allen, An Introduction to Mathematical Biology, Pearson, 2006

**Prerequisites**:
Graduate standing, exposure to basic ordinary differential equations and linear
algebra;

**Exams and Grading**:

Course grade will be determined based on
homework (40%) and mid-term exam and final project (60%). The exams will
be of the take home variety.

The topics that will be covered are:

Basic topics for delay DE

Stability Theory of delay DE

Non-autonomous ODE

Oscillation Theory of ODE

Applications to Mathematical Biology

**Computer Requirements**

The use of computer algebra systems such as *MATHEMATICA *and
Scientific Notebook is encouraged. Some *MATHEMATICA*
notebooks will be provided and
demonstrated in the class. Most of the exams may require the substantial use of *MATHEMATICA*.

Interesting links:

**Instructor**: M. Kulenovic

Office: Lippitt 202D; Ph. 44436

e-mail: mkulenovic@mail.uri.edu

**Online information**: www.math.uri.edu/courses
or www.math.uri.edu/~kulenm

**Office hours**: M: 12-1. W 12-2 and by appointment.

**Time**: M,W: 4:30 - 5:45

**Room: **Lippitt
201