Math 355 Section 001, Homework Assignment, Fall 2018

Analysis of Ordinary Differential Equations by J.M. Cushing

Week 1
  • Chapter 0: 1-14, 39, 42, 43, 70, 76, 77, 84, 85, 90, 93, 94, 105, 107
  • Chapter 2: 18, 20, 22, 26, 29, 31, 32, 34, 38, 41, 43, 46, 48, 190, 191
  • Week 2
    Homework For Week 2

    Week 3
    Homework For Week 3

    Week 4
    Homework For Week 4

    Week 5 and 6
  • Notes on the N-Body Problem

  • Notes on the N-Body Problem: 1, 2, 3, 4, 5, 6, 8
  • Week 7
  • Chapter 4: (Basic Concept) 57, 58
  • Chapter 4: (Write as Systems of First Order Euqation) 13, 20, 22, 23
  • Chapter 4: (Vector Field) 33, 38, 47, 48
  • Week 8 and 9
  • Chapter 3: (Equalibrium and Phase Portrait) 18, 19, 20, 23, 27, 29
  • Chapter 3: (Bifurcation) 76, 77, 79, 81, 85, 86, 88, 91
  • Homework on Eigenvalues and Eigenvectors
  • Week 10
  • Chapter 6: (Phase Portrait) 33, 36, 39, 42, 45, 48, 49, 52, 54
  • Chapter 6: (Solution) 93, 94, 97, 98, 99, 101
  • Week 11
  • Chapter 6: (Tr-Det Map) 61, 73, 75, 75, 77, 78, 81, 83, 84, 86, 90
  • Chapter 8: (Local Analysis) 4, 7, 9, 11, 14, 19, 22, 24, 25
  • Week 12
  • Homework on Conservative Systems
  • Week 13&14
  • Homework on Bifurcations