Thanks!

Many thanks to all of you in Lahore. I cherish the time we have had together. Good luck with all that comes next!

Added material

 I have now added the entire file of slides used, as well as solns of all problem sheets.

I will still upload the notes on normal forms, after revising this slightly asap (as I noted this is needed).

Recommended literature (for more advanced material)

For those more interested in the differential geometric approach to qualitative theory, please see

the books by V.I. Arnold (uploaded in the dropbox).

class test Thursday 1:15-2 pm

 The class test concerns the following material:

(1) chapters 1,2,3 of M2AA1notes16

(2) problem sheets 1,2,3

Questions will query your understanding, not your memory.

Model answers for most of the questions on the problem sheets are now provided.

Decoupling principle

 I have uploaded Sadun's text Applied Linear Agebra: the decoupling principle, to the dropbox folder.

Material to review and exercises to attempt by monday 22 september

 In the lectures this week we covered most of the material in chapters 1 and 2 of the notes. The relevant exercises are on problem sheets 1, 2 and 3. Please have a good go at all this material and let me know on monday your successes and struggles...

Welcome and introduction

This course concerns the qualitative theory of ordinary differential equations (ODE).

A guiding text for this course (although it will not be followed in detail) is

Luis Barreira and Claudia Valls. Ordinary Differential Equations: Qualitative Theory. Graduate Studies in Mathematics series vol 137. AMS. 2012.

Other useful texts:

Morris Hirsch, Stephen Smale, Robert Devaney. Differential Equations, Dynamical Systems, and an
Introduction to Chaos, Academic Press, 2003      

James D. Meiss. Differential Dynamical Systems, SIAM, 2007