MATH 689-603: Asymptotic and Perturbation Methods (Special Topics)

Course information

Course news

Final Exam
The final exam will take place on May 7, Monday, 3:30-5:30pm in Bloc125. New! Here are the solutions.
2 May 2007 (updated 16 May)
Solution for homework 5
Here is the solution for HW5.
2 May 2007
Problem Sheet 6
Here is problem sheet 6. It is for your personal enjoyment only. Nothing is to be submitted.
26 April 2007
Solutions for homework 2, 3 and 4
Here are solutions for HW 2, HW 3 and HW 4.
26 April 2007
Homework 5
Here is problem sheet 5. Please submit problem number 5 on Wednesday 25th.
16 April 2007
Homework 4
Here is problem sheet 4. Please submit all 2 (optionally 3) problems on Wednesday 18th.
10 April 2007
Homework 1 solutions
Here are solutions for homework 1. Important: Please hold on to your marked solutions, I forgot to record your marks in my roster.
10 March 2007
Homework 3
Here is problem sheet 3. Please submit problems 1, 2, 3b, 4, 7bce, 8a (bonus +10% question 3a) on Wednesday 11th April.
6 March 2007
Updated Homework 2
Problems to submit on Wednesday 21th February (all from Bender & Orszag, Springer edition):
  1. 3.3a-d
  2. Find an expansion for Airy equation y''=xy around x=0.
  3. 3.32 first part ("Show that...")
  4. 3.33g (use the expansion for cot(x) around zero; can be found in Wikipedia, Abramowitz-Stegun or Maple command numapprox[laurent](cot(x), x=0);; also see bonus questions below)
  5. 3.33c (does S'' << (S')² work?)
  6. 3.39b
  7. 3.45a (differentiate twice to get a second order equation)
  8. Bonus (+10%): derive the expansion of cot(x).
  9. Bonus (+20%): 3.33e (find all three solutions!).
Other problems you might want to try are 3.33 and 3.39.
Updated 16 Feb 2007
Possible Projects
Here is a list of suggested projects. In class I will briefly address the difficulty of each one.
11 Feb 2007
Homework 1
Here is problem sheet 1. Please submit problems 1bef, 3, 6 (bonus question 1g) on Wednesday 8th February.
1 Feb 2007
Class moved
We will meet in Blocker 125 on Wednesdays and Blocker 126 on Mondays.
1 Feb 2007
Contact me
Have any questions about the course? Send me an email, the address is above.
26 Nov 2006
 

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