Fall 2010, MATH 411:  Ordinary Differential Equations

Instructor: Dan Thompson

Textbook: W. Kelley and A. Peterson, The Theory of Differential Equations: Classical and Qualitative, Second Edition, Springer, 2010.

Meeting time: Tuesday and Thursday 1.00-2.15, Sackett 117.

Final exam:

2.30pm-4.20pm, Wednesday December 15th, 109 Osmond.

The syllabus is here.

This is the place to find course announcements and homeworks through the semester.

The midterm will be held in class on tuesday October 12th. Thursday October 7th will be a review class. A practice exam will be made available this weekend (1st or 2nd october)

Homework 1 - Kelley & Petersen, 2nd edition - Questions 1.1, 1.2, 1.4, 1.5 parts i) and ii) ONLY. Due in class Thursday 2nd September.
Selected solutions available here

Homework 2 - Kelley and Peterson, 2nd edition, Questions 1.8, 1.15, 1.16, 1.33 parts i) and ii) only. Due in class Thursday 9th September.
Solutions available here

Homework 3 - Due in class Thursday 16th September. Available here. Solutions available here

Homework 4 - Due in class Tuesday 28th September (note the extended deadline):
Questions 2.1, 2.7, 2.15, 2.17 parts ii) and iii) only, 2.19, 2.20 part i) only, 2.21, 2.23 parts i) and ii) only.
Selected solutions here

Homework 5 - Available here Due Thursday 7th October. Selected solutions here

Homework 6 is due in class Thursday 28th October.  Textbook Questions: 3.3, 3.8 parts 1-3 only, 3.9.
Selected solutions here

Homework 7 is due in class on thursday 4th november. Textbook Questions:
3.10 part i) only,
3.12 part i) and iii) only (NOT parts 2 and 4). No nullclines necessary,
3.13.
Selected solutions here

Homework 8 is due in class on thursday 11th november. Textbook questions:
1.18 (this is not a typo)
3.21
3.26 part i) only. Hint: The method is very similar to the method for proving that a system is Hamiltonian.
3.19
Selected solutions here

Homework 9 is due on thurday 2nd december. It is available here Selected solutions available here

Homework 10 is "due" on thursday 9th december. It is not for credit but should be attempted for exam practice.

A. Complete the questions on the last page of the qualitative stability handout.
Solutions available here

B. Read through class notes on the SIRS model. Check that you can:

a) Reduce the three equations to two equations in two unknowns
b) Find the equilibrium points
c) Derive and interpret the criteria for the equilibrium point to be in the positive quadrant.