AMS 212B Applied Mathematical Methods II (Perturbation Methods)

Course description:
This course covers perturbation methods. It includes asymptotic series, matched asymptotic expansions, multiple scales and the WKB method, Laplace method, Pade approximations and applications of perturbation methods.
Instructor: Hongyun Wang
Lectures: TuTh 3:20-4:55PM at Hum & Soc Sci 250
Office hours: Thursday 9:00-11:00am at BE 358 (or by appointment)
Email: hongwang AT soe DOT ucsc DOT edu
Class web: http://www.cse.ucsc.edu/~hongwang/AMS212B
Textbook:
There is no official textbook for this course.
I will distribute my lecture notes electronically.
Optional reading: Perturbation Methods By E. J. Hinch
Grading policy:
The grade for this course will be based on homework assignments (50%) and a final (50%).

Lecture Notes

A sample final exam (Spring 2009)

Homework assignments:
Assignment #1 ( updated ), due in class, Thursday, 01/18/2018

Assignment #2 ( updated ), due in class, Thursday, 01/25/2018
        In problem 4, if you don't have time to write your own code,
        you can use my Matlab code for computing T(epsilon).

Assignment #3 ( updated ), due in class, Thursday, 02/01/2018
        In problem 3, you are encouraged to write your own code. If you don't have time to write your own code,
        you are allowed to use my Matlab code for finding x(epsilon) and err(epsilon).

Assignment #4 ( updated ), due in class, Thursday, 02/08/2018
        In problem 4, if you don't have time to write your own code,
        you can use my Matlab code for solving the BVP.

Assignment #5 ( updated ), due in class, Thursday, 02/15/2018

Assignment #6 ( updated ), due in class, Thursday, 02/22/2018

Assignment #7 ( updated ), due in class, Thursday, 03/01/2018
        In problem 5, if you don't have time to write your own code,
        you can use my Matlab code for solving the Sturm-Liouville problem.
        If you like to explore the eigenvalues of Sturm-Liouville problems with turning points,
        you can try my Matlab code for solving a Sturm-Liouville problem containing a turning point.

Assignment #8 ( updated ), due in class, Thursday, 03/08/2018