The course will cover the following topics:
- Terminology (order, scalar vs. system, linear vs. nonlinear, invariant)
- Separable equations, exact equations, first order linear equations
- Linear constant coefficient equations, exponential of a matrix
- Undetermined coefficients, variation of parameters
- Gronwall inequality, existence and uniqueness of solutions
- Autonomous systems, phase portraits, stability, Lyapunov functions
Text
There is no official textbook for the course. Books on Ordinary Differential Equations tend to be largely interchangeable.
Exams
There will be single exam during the usual annual exam period, worth 80% of your course mark. We are not allowed to announce exam dates and locations on course web pages, but there will be a link here to the official schedule once that is available. A sample paper will be made available towards the end of the course.
Assignments
Assignments will count for 20% of your course mark. They will be posted here, roughly weekly, and will be due at the beginning of the Thursday lecture. They will not be distributed in class. Solutions will be posted here once the assignment has been corrected.
| Assignment | Due | Version | Problems | Solutions |
|---|---|---|---|---|
| 1 | 6 February 2014 | Id: 2326-s2014-1.m4,v 1.2 2014/02/07 14:36:28 john Exp john | PS PDF | PS PDF |
| 2 | 13 February 2014 | Id: 2326-s2014-2.m4,v 1.1 2014/02/06 19:55:03 john Exp john | PS PDF | PS PDF |
| 3 | 20 February 2014 | Id: 2326-s2014-3.m4,v 1.2 2014/03/04 09:54:33 john Exp john | PS PDF | PS PDF |
| 4 | 6 March 2014 | Id: 2326-s2014-4.m4,v 1.2 2014/03/04 09:53:13 john Exp john | PS PDF | PS PDF |
| 5 | 20 March 2014 | Id: 2326-s2014-5.m4,v 1.1 2014/03/13 15:50:18 john Exp john | PS PDF | PS PDF |
| 6 | 3 April 2014 | Id: 2326-s2014-6.m4,v 1.1 2014/03/27 16:25:33 john Exp john | PS PDF | PS PDF |
Tutorials
There are no tutorials scheduled for this course.
Past Courses
Last year's 2326 web page appears to have vanished. The previous year's course, taught by Paschalis Karageorgis, covered essentially the same material as this one. My old course web pages from 2007 and 2008 are more of a historical curiosity than a useful source of information, since the course has changed since then.