Gregory F. Spencer
Department of Physics

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Spring 2008 - PHYS 3320

Introduction to Mathematical Physics

Phys 3320 Syllabus for Spring 2008 (pdf)

Homework #1--Complex Numbers (pdf)
Homework #1--Solution (pdf)

Homework #2--Simultaneous Equations and Vectors (pdf)
Homework #2--Solution (pdf)

Homework #3--Vectors and Eigenvalues (pdf)
Homework #3--Solution (pdf)

Homework #4--More Matrices & Eigenvalues (pdf)
Homework #4--Solution (pdf)

Homework #5--Vectors, Del, & Flux-Divergence (pdf)
Homework #5--Solution (pdf)

Homework #6--Fourier Series (pdf)
Homework #6--Solution (pdf)

Homework #7--Fourier & Laplace Transforms (pdf)
Homework #7--Solution (pdf)

Homework #8--Legendre Polynomials (pdf)
Homework #8--Solution (pdf)

Homework #9--Solutions to Laplace's Equation (pdf)
Homework #9--Solution (pdf)

Homework #10--Functions of a Complex Variable--Extra Credit (pdf)
Homework #10--Solution--Extra Credit (pdf)

Test #1 Key (pdf)
Test #2 Key (pdf)

Math Preliminaries (pdf)
Planes & Vectors (pdf)
Eigenvalue Problem Examples (pdf)
Example of Green's Theorem (pdf)
Gradient of a Surface (pdf)
Comparison between the Fourier Series and Fourier Transform (pdf)
Solution of the Wave Equation by Fourier Series (pdf)
Convolutions & Integral Transforms (pdf)
RLC Circuit Analysis by Laplace Transform (pdf)
Other Properties of the Laplace Transform (pdf)
Other Properties of the Dirac Delta (pdf)
Solution of Laplace's Equation in Spherical Coordinates (pdf)
The Geometric Series (pdf)
Finding Laurent Series (pdf)
Proof of the Residue Theorem (pdf)
Contour Integration Example (pdf)
Contour Integration with Rectangular Contour (pdf)
Bromwich Contour Method for Laplace Transforms (pdf)

Typical Math Problems during the Semester (pdf)

Texas State Honor Code (pdf)

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