Phys 500A - Mathematical Methods in Physics
Term: Fall 2017
Time/Location: T/R 9:35-10:50 AM, Neckers 410
Instructor: Dr. Eric Chitambar, (Office: Neckers 480, Email: firstname.lastname@example.org)
Office Hours: Tues. 4:00 PM - 5:30PM; Thurs. 8:05 AM - 9:35 AM; Fri. 1:00PM - 4:00PM
Course Website: http://www.physics.siu.edu/~echitamb/Teaching/Phys500A/Phys500A_Fall_2017.html
Primary Text: Fourier Analysis - An Introduction by Elias Stein and Rami Shakarchi
Objectives: This course will cover the mathematial theory of Fourier Analysis with an emphasis on applications in physics.
Topics covered include solutions to the wave and heat equations, convergence of functions, Fourier series, Fourier transform, Legendre polynomials, Bessel functions
Homework and Grading Policy: To master the subject material, all exercises and problems at the end of the chapter should be attempted. This is a realistic and managable goal. Every week, four specific exercise/problems will be assigned.
Of those, two will be graded.
Syllabus (This will evolve throughout the semester):
- Homework - 50%
- Midterm - 25%
- Final - 25%
|Date||Topics||Supplemental Notes, Homeworks, Solutions
|Aug. 22||Introduction, Simple Harmonic Motion, Derivation of The Wave Equation||Homework 1: Exercises 1.1, 1.3, 1.10; Problem 1.1 |
(Due Tuesday, Sep. 5)
|Aug. 24||d'Alembert's Formula, Separation of Variables|| |
|Aug. 29||Plucked String Example, Derivation of the Heat Equation|| |
|Aug. 31||Dirichlet problem on 2-D disc, Cauchy sequences|| |
|Sept. 5||Fourier Series definitions, Convergences of Sequences||Homework 2: Exercise 2.6, 2.7, 2.8 (Due Thursday, Sep. 14)|
|Sept. 7||Uniqueness of Fourier Series|| |
|Sept. 12||Conditions for Uniform Convergence|| |