Andy Martwick Adjunct Professor Department of Physics Portland State University Science Building Two, Office L1-50 P. O. Box 751 Portland, OR 97207-0751 email:  martwick_at_pdx.edu 503-three three three-8285

analog engineer

Teaching:

Spring 2012

PH410 / 510: Advanced Electricity and Magnetism

This is an elective course for those interested in going beyond PH431 / PH432. We finish chapters 7-12 in Griffiths, and derive the condition for surface plasmons.

PH410 Syllabus

Fall 2012

research

Winter 2012:

PH434 / 535: Methods of Mathematical Physics

Tentative Syllabus:

Review of linear algebra

Matrices, linear equations, and eigenvalues

Coordinate systems and vectors

Vector spaces

Properties of vectors and notation

Vector calculus and fields

Curvilinear coordinates

Introduction to tensors

Tensor notation and tensor products

Tensor calculus

Tensor applications

Complex numbers: elementary operation and representation

Introduction to Geometric Algebra

Mapping and branch cuts

Functions of complex variables

Complex series

Poles & zeros

Residue theorem

Using the residue theorem

Real and complex Fourier series

Fourier Sine & Cosine series

Fourier series & differential equations

Applications of Fourier series

The Delta function

Greens Function

Fourier transform

Using Fourier transform

Fourier Transform properties

Solving differential equations using FT

Fourier Transforms and Power Spectra

Required Textbook: Mathematics for Physicists, Susan M. Lea, 1^st Edition (Brooks, Cole)