Sunday, March 29, 2009
How to study for the 2009 exam.
Please see VERY USEFUL notes on how to study for the exam in the lhs margin.
Some additional reading material (good books in which you may find some useful exercises on material related to the course):
Perko: Differential Equations and Dynamical Systems
Chicone: Ordinary Differential Equations and Applications
Some additional reading material (good books in which you may find some useful exercises on material related to the course):
Perko: Differential Equations and Dynamical Systems
Chicone: Ordinary Differential Equations and Applications
# posted by Jeroen Lamb @ 4:18 PM 
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question 1 is bookwork and questions 2,3,4 are already on the problem sheets (with solutions). So I believe you have all...
Hi Prof. Lamb
Thanks very much for the how to study for the exam guide it's been really useful for revision so far!
I'm finding the Poincaré-Bendixson Theorem quite hard as there's so much content for it. Could you please elaborate on your bullet point for the theorem - ie.
will you be testing just our understanding or are we expected to be able to prove it or any of its consequences.
Also do we need to worry about the network of connected equillibrium points case? (your notes say you'll type up a proof for this, is that available somewhere if in fact we need it for the exam?)
Thanks!
Mike
Thanks very much for the how to study for the exam guide it's been really useful for revision so far!
I'm finding the Poincaré-Bendixson Theorem quite hard as there's so much content for it. Could you please elaborate on your bullet point for the theorem - ie.
will you be testing just our understanding or are we expected to be able to prove it or any of its consequences.
Also do we need to worry about the network of connected equillibrium points case? (your notes say you'll type up a proof for this, is that available somewhere if in fact we need it for the exam?)
Thanks!
Mike
Also - there's not really a problem sheet on chapter 10. Like you've done for chapter 11, could you tell us which of the questions from the exercises at the end of chapter 10 are relevant to our course/the exam.
Thanks again
Mike
Thanks again
Mike
Michael,
yes, the proof of the PB theorem is part of the examinable material, but rather than to expect a question along the lines "prove the PB theorem" you should be prepared to give details of some part of the proof (as the entire proof is rather long, consisting of a number of steps).
With respect to the problems at the back of chapter 10, there is not much to add other than the general remark that such exercises are of course useful material to consider (to see to what extent you understand the material of chap 10).
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yes, the proof of the PB theorem is part of the examinable material, but rather than to expect a question along the lines "prove the PB theorem" you should be prepared to give details of some part of the proof (as the entire proof is rather long, consisting of a number of steps).
With respect to the problems at the back of chapter 10, there is not much to add other than the general remark that such exercises are of course useful material to consider (to see to what extent you understand the material of chap 10).
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