Text:  Morris W. Hirsch, Stephen Smale and Robert L. Devaney, Differential Equations, Dynamical Systems and an Introduction to Chaos.

Lecturer: Ming Chen (Robin)              Email: chenm@math.umn.edu
               Office: 302 Vincent Hall       Office Hours: Tue 10:10-12:10am      Office Tel: (612) 625-9817

Grader:   Hao Feng                           Email: fengx055@math.umn.edu
               Office: 422 Vincent Hall       Office Tel: (612) 625-8553
Class Meeting Times:  MWF 2:30 PM - 3:20 PM   VinH 113

Grading:               Homework:           25%
                             Two Midterms:      20% each
                             Final:                    35%
 

Material:              1. First order equations

                            2. Planar linear systems
                                Eigenvalues/eigenvectors
                                Phase planes
                                Classification

                            3. Linear systems in higher dimension
                                More linear algebra
                                matrix exponentials
                                Nonautonomous systems

                            4. Nonlinear systems
                                Flows
                                Existence/uniqueness/well-posedness
                                Equilibria and classification 
                                Bifurcations
                                Stability
                                Periodic orbits

1. The first test will be on Friday, Feb. 22. 

2. The second test will be on Friday, Apr. 04. Here is some additional notes for stable/unstable curve theorem.

3. The final exam will be on Thursday, May 15, from 1:30 - 3:30, at VinH 113.

4. Here is a set of Review problems.

Due day