Readings

w35 Introduction

w36 Sections 3.1, 3.2.1, 3.3.1, Appendix: Metric Spaces

w37 + w38: Section 5.1.5 from Handout #1;  Handout #2 (quick review of Fourier series); Sections 7.3.4 and 7.4.5 from Handout #3; Handout #4; Handout #5. 

Handout #6 with Denjoy counterexample.

w44 Handout #7(On pendulum, by Hubbard) and  Handout #8 (Poincare-Bendixson theorem from Hirsch-Smale-Devaney book "Differential Equations, Dynamical Systems and Introduction to Chaos).