**Physics 301, Mathematical Physics **** (Fall, 2005)**

**Instructor:**

Jie Yang Cook A525; Phone:
656-0061; e-mail: jyang@uvm.edu

**Schedule:**

Lecture TR 9:30
— 10:45 AM Cook 531

**Textbook:**

Mathematical
Methods for Physics and Engineering. 2nd Ed.
By KF Riley, MP Hobson and SJ Bence.

**Reading****:**

You need to read the materials in the text a
great deal before and after classes. We
will go over major concepts in the text and show details of how to solve
problems.

**Homework:**

There will be homework assignments
after each chapter and these assignments will be given in classes. You are expected to work all problems in
homework assignments. I will grade 50%
to 70% of the problems picking at random, and provide complete solutions.

**Exams:**

Two take-home exams: a midterm (target:
10/13 assigning and 10/18 collecting) and a final (Assigning at end of class,
the latest to turn in on 12/15).

**Grades:**

The two exams count 66% of the final
grade (33% each). The average of
homework counts 34%.

**Office hours:**

Monday: 10:00 — 11:30 AM Friday: 10:00 –– 11:30 AM

**Coverage:**

I plan to cover about twenty one
chapters of the textbook in detail. If
time allows, we may discuss materials in later chapters. Major topics involved are the following.

- Review of
basic calculus
- Complex
numbers and functions
- Series
and limits
- Partial
differentiation and multiple integrals
- Vectors,
matrices and vector calculus
- Line,
surface and volume integrals
- Fourier
series and integral transforms
- Differential
equations
- Partial
differential equations
- Complex
variables
- Tensors