**Office**: PS2 2174**Phone**: 824-5149**E-mail**: djsilver@uci.edu**Office Hours**: Mondays and Wednesdays, 2:30-3:30 in PS2-2174

**Lecture**: Tuesdays and Thursdays, 9:30-10:50, PST (trailer) 100**Discussion**: Friday, 11:00-11:50, FRH 3111 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/physics212b.html

**Homework**: Homework will be assigned every week, and is due in
class. Homework will be returned in class.

**Grading**

- Homework 40%
- Midterm 25%. The midterm has been moved to Thursday, Feb. 12, 9:30-10:50 AM in class.
- Final 35%. This is scheduled for Thursday, March 19, 8:00-10:00 AM in the classroom.
- Both exams will be open text book and open notes, but closed to problem solutions.

- 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
- Keyboard Typing of Greek Letters and of Symbols
- Mathematica Graphics
- Mathematica Programming
- Differential Equations
- Fourier Series
- Fourier and Laplace Transforms
- Linear Algebra, Eigenvalues and Eigenvectors
- Solution to Heat Flow in a Cold Box in one and two dimensions.
- Numerical Methods
- Statistics
- Black-Scholes Equation Graphs
- Notebook Versions for Mathematica 3.0
- Keyboard Typing of Greek Letters and of Symbols
- Mathematica Graphics
- Mathematica Programming
- Differential Equations
- Fourier Series
- Fourier and Laplace Transforms
- Linear Algebra, Eigenvectors and Eigenvalues
- Solution to Heat Flow in a Cold Box in one and two dimensions.
- Numerical Methods
- Statistics
- Black-Scholes Equation Graphs

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
- Fourier Series Applet

**Problem Sets for This Year:**

- Set 1:
- Reading, Chapter 7, pages 178-198
- 7-16
- 7-22
- 7-23
- 7-26
- 7-27
- Set 2: Due Friday, January 30.
- Reading, Chapter 8
- 8-1
- 8-4
- 8-7
- Set 3: Due Friday, February 6.
- 8-19
- 8-20
- Plot in 3 dimensions for various times t the results for the heated cold cube, Eqn. 8-59.
- Set 4: Due Friday, February 20.
- Plot the solution to the Black-Scholes eqn. of omega/c as a function of x/c for times of 0, 1/4, 1/2, 3/4, and 1 times t*=90 days. Take r=0.05/365 and v^2/2r = 0.3.

- Set 5: Due Friday, February 27.
- 9-3
- 9-5
- 9-8
- Derivation on pp. 271-273.
- Set 6: Due Friday, March 6.
- 10-1
- 10-5
- 10-6
- 10-10
- Set 7: Due Friday, March 13.
- 11-1
- 11-2
- 11-4
- 11-7

**Course Schedule**

The tentative 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
- Mathematica Graphics, Special Functions, Eigenfunctions, and Programming

- Chapter 12, Calculus of Variations
- Chapter 13, Numerical Methods
- Chapter 14, Probability and Statistics
- Chapter 16, Group Theory
- Chapter 5, Further Applications of Complex Variables