Study Guide

Texts

• Core
  • Lecture Notes on Ordinary Differential Equations
  • Introduction to the Modern Theory of Dynamical Systems, by Katok and Hasselblatt
    • Chapter 0
    • Chapter 1
    • Sections 2.1, 2.3, 2.4.a, 2.4.b, 2.5, 2.7
    • Sections 3.1.a, 3.1.b, 3.2, 3.3
    • Sections 4.1, 4.2
    • Sections 6.1, 6.2, 6.3, 6.5
    • Section 11.1
    • Section 15.1, 15.3
• Supplementary
  • Differential Equations, Dynamical Systems, and Linear Algebra, by Hirsch and Smale
    • Chapters 3 through 11

Practice Problems

• Berkeley Preliminary Exams
  • Summer 77, Problem 8
  • Spring 78, Problem 8
  • Fall 79, Problem 14
  • Spring 80, Problems 10 and 18
  • Summer 80, Problems 5 and 20
  • Fall 80, Problem 15
  • Spring 81, Problem 4
  • Summer 81, Problem 20
  • Fall 81, Problems 2 and 14
  • Spring 82, Problems 9 and 19
  • Summer 82, Problems 1 and 6
  • Fall 82, Problems 1 and 9
  • Spring 83, Problem 19
  • Fall 83, Problem 13
  • Spring 84, Problems 3, 8, and 12
  • Summer 84, Problem 9
  • Fall 84, Problems 5 and 15
  • Fall 86, Problem 6
  • Fall 91, Problem 7
  • Fall 92, Problems 4 and 14
  • Fall 93, Problems 5, 8, and 14
• University of Illinois Comprehensive Exams
  • Ordinary Differential Equations, January 1999
• University of Maryland Written Exams
  • Ordinary Differential Equations, August 1995
  • Ordinary Differential Equations, August 1996
  • Ordinary Differential Equations, August 1998
    • Page 1
    • Page 2
• Northwestern University Preliminary Examinations
  • Dynamical Systems, Fall 1988
  • Dynamical Systems, Fall 1991
  • Dynamical Systems, Summer 1994
  • Dynamical Systems, Fall 1995
  • Dynamical Systems, Winter 1996
  • Dynamical Systems, Fall 1996