4321/7035 Methods of Theoretical Physics. 2006 spring semester.
In this course we will discuss and learn essential mathematical methods for physicists and engineers.
The lectures will be based on materials from "Essential Mathematical Methods for Physicists" by Hans J. Weber and George B. Arfken ISBN:0-12-059877-9 and "the FFT Fundamentals and Concepts" by Robert W. Ramirez ISBN 0-13-314386-4 and many other books. All lectures notes will be posted in this page and students are encouraged to download them and use them as your course material.
Office hours: any time I am in my office, or email/phone for appointment.
There will be bi-weekly quizzes plus mid-term and final exams. Homework is due one week after the assignment. The final grade will be computed based on homework (30%), quizzes (30%), mid-term exam (20%) and final exam (20%).
Syllabus:
| Topics | Dates |
| Vector Analysis | 1/18, 1/20,1/23,1/25,wob1_25,1/27,wob1_27,1/30,announcement and modification,2/1,wob2_1,2/6,2/8,2/10,wob2_10,2/13,wob2_13,2/15,wob2_15 |
| Vector Analysis in curved coordinates | 2/17,2/20,wob2_20,2/22,SUSY_1,SUSY_2,2/24,2/27,3/1,3/3, wob3_3, 3/6, wob3_6,3/8,wob3_8,3/10 |
| Determinants and Matrices | 3/20,3/22, 3/24 (Mid-term),3/27,wob3_27, 3/29, wob3_29,3/31,4/3,wob4_3,4/5,wob4_5,4/7,4/10 |
| Infinite Series | |
| Fourier Series | |
| FFT | |
| Monte Carlo Technique | |
| Functions of a Complex Variable | |
| Differential Equations | 4/12,wob4_12, 4/17, wob4_17,4/19,4/21 |
| Keys to homework problems and quizzes | HW1,HW2,HW3,HW4,HW5,HW6,HW7,HW8,HW9,HW10,HW11,HW12,HW13,HW14,HW15 quiz1,quiz2,quiz3,quiz4, quiz5,review1,review2,review3,final |