Lecture Notes for Math 5233, Spring 1996
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Lecture 1: Introduction
Lecture 2: Imposition of Boundary Conditions
Lecture 3: Orthogonal Functions
Lecture 4: Series Solutions of the Heat Equation, Cont'd
Lecture 5: Solutions by Series Expansions, Cont'd
Lecture 6: Laplace Transform Techniques
Lecture 7: Distributions
Lecture 8: The Wave Equation
Lecture 9: Series Solutions of The Wave Equation
Lecture 10: The Wave Equation and Laplace Transforms
Lecture 11: Laplace's Equation
Lecture 12: Special Solutions of Laplace's Equation
Lecture 13: Conformal Mapping Techniques
Lecture 14: Coordinate Transformations and the Method of Characteristics
Lecture 15: Characteristics and the Classification of Second Order Linear PDEs
Lecture 16: Characteristics and Cauchy Data
Lecture 17: Characteristics, Discontinuities, and Signal Propagation
Lecture 18: First Order Equations
Lecture 19: Characteristics and First Order Equations
Lecture 20: Green's Functions and Solutions of Laplace's Equation, I
Lecture 21: Green's Identities
Lecture 22: Green's Functions for the Modified Laplacian
Lecture 23: Green's Functions for Wave Equations
Lecture 24: Green's Functions for Wave Equations, Cont'd
