Teaching

Math 475: Differential equations

Fall 2017

Class Time M,W 9:00am – 10:15am
Class Location Tempe – WGHL202
Instructor S├ębastien Motsch
Office WXLRA 836
Email smotsch@asu[dot]edu
Office Hours M,W 1:00pm – 3:00pm
Class webpage www.seb-motsch.com/teaching

Textbook

  • M. Hirsch, S. Smale and R. Devaney, Differential Equations, Dynamical Systems, and an Introduction to Chaos (2012)

Course description

  1. Linear systems of ODE (Chap.1-6)
  2. Non-linear dynamical systems (Chap.7-9)
  3. Limit sets (Chap.10)

A syllabus is also available here.

The first Mid-term is scheduled on Monday September 25th (confirmed) and the second for Monday November 6th (to be confirmed) in class.

Class Schedule

Aug 21 – 23 1st order ODE (chap.1),
Planar linear systems (chap.2)
Aug 28 – 30 Planar linear systems (chap.3)
Sep 4 – 6 Labor day – Planar linear systems (chap.3-4)
Sep 11 – 13 Classification, Higher dimension (chap.4-5)
Sep 18 – 20 Higher dimension (chap.5-6), practice midterm (solution)
Sep 25 – 27 Midterm 1 (solution), Exp. matrix (chap.6)
Oct 2 – 4 Non-linear systems (chap.7)
Oct 9 – 11 Fall Break
Oct 16 – 18 Non-linear systems, linearization (chap.7-8)
Oct 23 – 25 Phase transitions, Isoclines (chap.8-9)
Oct 30 – Nov 1 Isoclines (chap.9), review midterm (solution)
Nov 6 – 8 Midterm 2 (solution)
Nov 13 – 15 Lyapunov, Gradient-Hamiltonian systems (chap.9)

Class homework

Aug 28 Chap.1: 2, 7, 8, 9, 11, 12 (solution HW1)
Sep 6 Chap.2: 2, 3, 6, 10, Chap.3: 2(i,iii,v), 3 (solution HW2)
Sep 13 Chap.3: 4, 6, 10, 11, Chap.4: 2, 3, 5 (solution HW3)
Sep 20 Chap.5: 2, 3, 5a-f, 11, Chap.6: 1a-f (solution HW4)
Oct 4 Chap.6: 3, 5a, 6a, 12, 13 (solution HW5)
Oct 16 Chap.7: 1, 2, 3, 4, 6 (solution HW6)
Oct 23 Chap.8: 1, 2, 5, 6, 7, 12 (solution HW7)
Oct 30 Chap.8: 4, 8, 9, Chap.9: 1
Nov 20 Chap.9: 2, 6, 7

Extra