Math 557, Winter 2020, Applied Asymptotic Analysis
Instructor: Robert Krasny, 4830 East Hall, (734)-763-3505, [email protected]
Time/Location: TuTh 1-2:30pm, 3088 East Hall
course description
references
Homework
hw1 due: Tues Jan 28
hw2 due: Thurs Feb 13, solution to problem 7
hw3 due: Tues Feb 25
hw4 due: Tues March 17
hw5 due: Thurs April 2
hw6 due: Thurs April 16
hw7 due: Thurs April 28
Lecture Notes
chapter 1 asymptotic expansions
chapter 2 Laplace’s method
chapter 3 method of steepest descent
chapter 4 method of stationary phase, mfile
chapter 5 transforms
chapter 6 differential equations
chapter 7 singular perturbation problems
Exams
midterm exam, in class, Thursday Feb 27, covers up to 4.1 (method of stationary phase), one page of notes is allowed
notes on using MATLAB
Matlab resources for students
The Origins of Matlab, by Cleve Moler, December 2004
Interview with Peter Lax, AMS Notices, February 2006, “… the astonishing phenomenon of the interaction of solitons was discovered by numerical calculations …”
Fellowships, Graduate Study, Internships
“You need the willingness to fail all the time. You have to generate many ideas and then you have to work very hard only to discover that they don’t work. And you keep doing that over and over until you find one that does work.” – John Backus, lead developer of Fortran
SIAM has a webpage for students; check it out, and don’t miss the link to free student memberships.