**Office**: Frederick Reines Hall 2174**Phone**: 824-5149**E-mail**: djsilver@uci.edu**Office Hours**: Mondays and Wednesdays, 2:30-3:30 in FRH-2174 .

**Lecture**: Tuesday and Thursday, 9:30-10:50, PSCB 220**Discussion**: Friday, 10:00-10:50, PSCB 240 or the PC Lab

**Required Text**:*Mathematical Methods of Physics,*by Mathews and Walker, Second Edition, Addison-Wesley.**Reference Books**:*Mathematical Methods in the Physical Sciences,*by Mary L. Boas, Second Edition, Wiley.*Mathematical Methods for Physicists,*by Arfken, Third Edition, Academic Press.*Methods of Mathematical Physics,*by Courant and Hilbert, Interscience. Margenau and Murphy.- Also six Mathematica books are on reserve.

**URL for this course:**http://www.physics.uci.edu/~silverma/physics212a.html

**Homework**: Homework will be assigned weekly, and is due each Tuesday
in class. Homework will be returned in class.

**Grading**

- Homework 30%
- Midterm 30%. This will be in class, Tuesday, November 4, 9:30-10:50 AM.
- Final 40%. This will be on Thursday, December 11, 8:00-10:00 AM.
- Both exams will be open text book and open notes.

- UCI Prof. Herbert Hamber's Mathematica Course
- Mathematica Notebooks Summary
- Mathematica Summary
- The Mathematica Lessons Developed for the Mathematical Physics Course. Many of the lessons use examples from "Guide to Standard Mathematica Packages", Version 2.2, Wolfram Research.
- Postscript Versions
- Differential Equations
- Fourier Series
- Fourier and Laplace Transforms
- Linear Algebra, Eigenvalues and Eigenvectors
- Numerical Methods
- Statistics
- Notebook Versions for Mathematica 3.0

The Homepage of Mathematica: Wolfram Research

- The Integrator: does integrals for you on the web
- Trigonometric and Exponential Functions
- Higher Functions in Mathematica
- "Mathematica: A System for Doing Mathematics by Computer", Second Edition, 1991, by Wolfram, on-line
- MathReader (free)

- Numerical Recipies in Fortran 77: The Art of Scientific Computing, (in postscript)
- Numerical Recipies in C: The Art of Scientific Computing , (in postscript)
- both by William H. Press, Saul. A. Teukolsky, William T. Vetterling, and Brian P. Flannery.
- Netlib Repository
- SLATEC Software Library

- Set 1:
- Reading: Chapter 1, pp. 1-27.
- Problems on Chapter 1, due Tuesday, Oct. 7
- Carry out the analysis in Example 1-14 on page 5 to bring it into the separable form.
- Problem 1-1.
- Problem 1-17.
- Problem 1-21.
- Problem 1-26.
- Set 2:
- Reading: Chapter 1, pp. 1-28.
- Problems on Chapter 1, due Tuesday, Oct. 14
- Problem 1-2.
- Problem 1-3.
- Problem 1-4.
- Problem 1-5.
- Problem 1-6.
- Problem 1-7.
- Problem 1-13.
- Problem 1-24.
- Set 3:
- Reading: Chapter 4, pp. 96-107.
- Problems on Chapter 4, due Thursday, Oct. 23
- Problem 1-33.
- Problem 4-1.
- Problem 4-2.
- Problem 4-3.
- Problem 4-5.

- Set 4:
- Reading: Appendix A
- Problems on Chapter 4, Due Thursday, Oct. 30
- Justify in detail the steps in the example (4-30) on p. 106.
- Problem 4-7.
- Problem 4-8.

- Set 5:
- Reading: Ch. 4 pp. 107-120
- Problems on Chapter 4, Due Thursday, Nov. 13
- Problem 4-9.
- Problem 4-10.
- Problem 4-12.
- Problem 4-13.
- Problem 4-14.

- Set 6:
- Reading: Ch. 6, pp. 139-160
- Problems on Chapter 6, due Nov. 20.
- Problem 6-1.
- Problem 6-3.
- Problem 6-5.
- Do the problems on the previous problem set using Mathematica, and print out the results.

- Set 7:
- Reading: Ch. 6, pp. 139-163
- Problems on Chapter 6, due at makeup lecture Monday, Dec. 1
(11 AM, FRH 3111).
- Mathematica Exercise
- Problem 6-2.
- Problem 6-4.
- Problem 6-6.
- Problem 6-10.

- Set 8:
- Reading: Ch. 7, pp. 167-178
- Problems on Chapters 6 and 7, due Friday, Dec. 5 in my mail box.
- Problem 6-8, double credit.
- Problem 7-1.
- Problem 7-3.
- Problem 7-4.

**Course Schedule**

The course schedule is intended to roughly parallel the courses in Classical Mechanics, Quantum Mechanics, and Electrodynamics.

- Chapter 1, Differential Equations
- Chapter 4, Fourier Transforms, Appendix A: Contour Integration
- Chapter 6, Vectors and Matrices, Eigenvalue Problems
- Chapter 7, Special Functions
- Mathematica Introduction and Applications

- Chapter 7, Special Functions
- Chapter 8, Partial Differential Equations
- Chapter 9, Eigenfunctions, Eigenvalues, and Green's Functions
- Chapter 10, Perturbation Theory
- Chapter 11, Integral Equations
- Chapter 5, Further Applications of Complex Variables
- Mathematica Graphics and Programming

- Chapter 12, Calculus of Variations
- Chapter 13, Numerical Methods, Fast Fourier Transforms
- Chapter 14, Probability and Statistics
- Chapter 16, Group Theory
- Mathematica Applications to these topics