MATH 220 -- INTRODUCTION TO MATHEMATICAL METHODS IN PHYSICS

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Mathematical Methods in the Physical Sciences (2nd edition) by Boas

Prerequisites

Physics 132; Math 152 or 162

Syllabus

1. Infinite and Power Series
2. Complex Numbers
3. Linear Equations; Vectors; Matrices
4. Partial Differentiation
5. Multiple Integrals
6. Vector Analysis
7. Fourier Series

*** Problem sessions to be led by Physics TA ***

Physics goals

· differential form of Maxwell's equations (including vector potential)

· Fourier analysis of waves

· coupled oscillators

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PHYS 221 -- MATHEMATICAL METHODS IN PHYSICS

Text

Mathematical Methods in the Physical Sciences (2nd edition) by Boas

Prerequisites

Math 220 OR Phys 142, 143

Syllabus

1. Ordinary Differential Equations
2. Calculus of Variations
3. Coordinate Transformations; Tensors
4. Gamma, Beta, Error; Series; Stirling
5. Series Solutions; Legendre, Bessel; etc.
6. Partial Differential Equations
7. Integral Transforms

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