# Physics 221
Mathematical Methods of Physics

### Primary Text: Mathematical
Methods in the Physical Sciences by Boas

**Location &
Time: KPTC 105, MWF 10:30-11:20**

Teaching Assistant: Andy Royston

This course will serve as an introduction to the mathematical methods
used in physics. It will

be aimed at sophomore
physics majors who have taken Physics 143 or both Physics 133 and

Math 220.

The aim
of the course will be to develop a strong framework for the future
study of quantum

mechanics, electromagnetism and advanced classical mechanics based
primarily on linear algebra.

Topics to be
covered include: linear algebra, ODEs, PDEs, some tensor analysis and
perhaps

some
complex analysis. The handout for the course can be found here.

There will be
weekly problem sets (~40%), a mid-term (~25%) and a final examination
(~35%).

**
Discussion & Office Hours:**

There
will be a discussion session led by Andy Royston on Mondays at 4:30 -
5:20 in KPTC 105.

Andy will have office hours from 6-8 pm on Mondays in KPTC 303. I will have office hours

on Tuesday from 3:30-4:30 in my office at RI 270.

Additional
Reference Material:

**Beyond the course text
book,
there are a number of other texts that might be worth perusing. **

### Mathematical
Methods for Physicists by Arfken and Weber

### Mathematical
Methods of Physics by Mathews and Walker

**For additional reading on linear algebra see (I would not be surprised if there are better**

texts):

Linear Algebra Done Right by Sheldon Axler

Linear Algebra by Hoffman and Kunze

Linear Algebra by Shilov

Here are some additional notes on matrices and linear transformations.

Additional notes by Andy Royston on the Dirac delta-function and Green's functions can be found here.

**
**
### Problem Sets:

I want you to primarily think about the homework assignments yourself.
There is no better way

to learn the material than to puzzle over it. Preferably talk to the
teaching assistant or me about

difficulties that you encounter.

Assignment 1

Solutions 1

Assignment 2

Solutions 2

Assignment 3

Solutions 3

Assignment 4

Solutions 4

Assignment 5

Solutions 5

Midterm Solutions

Assignment 6

Solutions 6

Assignment 7

Solutions 7