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: 

Hal Smith's web page

Professor Costin web page

Instructor: M. Kulenovic

Office: Lippitt 202D; Ph. 44436

Online information: or

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

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

Room: Lippitt 201