Mathematical Physics 212A
Spring 2003
Tuesday &
Thursday, 8:00am-9:20pm
RH 390
Instructor: Dr. Alexander (Sasha) Chernyshev,
Assistant Professor
Office: FRH 2158
Phone: (949)-824-6440
E-mail: sasha@uci.edu
Web page: http://www.physics.uci.edu/faculty/chernyshev.html
Introduction
This course is designed to give an introduction to some of mathematical
methods used in physics.
Topics to be covered
Here is a (preliminary) list of topics I am planning to cover in the
course.
- Functions of a complex variable (1/2 of the course)
- Complex numbers
- Analytic functions
- Contour integration
- Conformal mapping
- Asymptotic methods (1/6 of the course)
- Asymptotic series
- Laplace method
- Method of steepest descent
- Method of stationary phase
- Differential equations, Green's Functions (1/3 of the course)
- Ordinary differential equations
- Partial differential equations
Recommended Books
These books are all recommended but not required.
- G. B. Arfken, H. J. Weber, Mathematical methods
for physicists, Academic press, London, 2001.
- G. Mahan, Applied Mathematics, Kluwer Academic/Plenum
Publishers, New York, 2002.
- F. W. Byron and R. W. Fuller, Mathematics of classical
and quantum physics, Dover Publications, Inc., New York, 1992.
Homeworks
A detailed syllabus of the course