MATH 501: Analytic Methods in Applied Mathematics
Welcome to the course webpage for Math 501! This course is offered
to graduate students at Cal Poly, and discusses asymptotics and
perturbation techniques in order to solve timely problems in
Applied Mathematics. In particular, we will discuss approximation
methods for solving ODEs, regular and singular perturbation theory,
boundary layer theory, WKB expansions and applications to eigenvalue
problems, as well as multiple-scale techniques. Please visit
the Canvas page for this course for more information and announcements.
Course Instructor: Dr. Stathis Charalampidis
- TR 7:10-9:00am (38-148)
- Advanced Mathematical Methods for Scientists and Engineers I (Asymptotic Methods and Perturbation Theory), Authors: Carl M. Bender and Steven A. Orszag, Publisher: Springer-Verlag.
- Perturbation Methods, Authors: John Hinch, Publisher: Cambridge Press.
- Introduction to Perturbation Methods, Authors: Mark H. Holmes, Publisher: Springer-Verlag.
- Introduction to the Calculus of Variations, Author: Bernard Dacorogna, Publisher: Imperial College Press.
Class Material by Topic:
- Local Analysis of linear and nonlinear ODEs
- Perturbation series for ODEs and eigenvalue problems
- Boundary layer theory
- Wentzel–Kramers–Brillouin (WKB) theory
- Multiple-scale analysis
Please click here for the complete course syllabus.
Please visit the Canvas page for the course for a complete list of homework assignments.
For your convenience, links for the academic calendar are included in this section: