MTH 4810/MTH6810 Lectures

Text: Differential Equations, Dynamical Systems, and an Introduction to Chaos,� 3rd Ed, by Hirsch, Smale,& Devaney

The lecture notes are brief outline of the contents from the textbook. Students are required to study the textbook for details.

Homework Assignment can be found at end of each lecture

� Chapter 1 Reviews of Basic of ODE, First-Order Equations

� Chapter 2 Planar Linear Systems

� Chapter 3 Phase Portraits for Planar Systems

� Chapter 4 Classification of Planar Systems

� Chapter 5 Review of Linear Algebra

� Chapter 6 Linear Systems in Higher Dimensional Spaces

� Chapter 7 Nonlinear Systems

� Chapter 8 Equilibria in Nonlinear Systems

� Chapter 9 Global Nonlinear Techniques

� Chapter 10 Closed orbits and Limit Sets

� Chapter 14 The Lorenz) System

� Chapter 15 Discrete Dynamical Systems

Remarks:

1. The above schedule is subject to change without pre-announcement

2. Lecture notes may be (may be not) posted after each lecture

3. Homework assignment will be updated after each class