Integral and Differential Equations Class Notes by Professor Jim Herod

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Integral and Differential Equations Class Notes Written by Professor Jim Herod cover the following topics of Differential Equations.

Integral Equations
Geometry and a Linear Function, The Fredholm Alternative Theorems, Separable Kernels, The Kernel is Small, Alternate "K is Small", Neither Small nor Separable, A Compendium of Problems

Ordinary Differential Equations
More About the Space, Differential Operators and Their Adjoints, The Fredholm Alternative Theorems, G(x,t) in the First Alternative, G(x,t) and the Dirac Delta Distribution, G(x,t) in the Second Alternative, A Compendium of Problems

Partial Differential Equations
Classification for Second Order Equations, A Standard Form for Second Order Equations, A Calculus Review, Green's Identities, Adjoints of Differential Operators, Green's Functions for Dirichlet Problems in the Plane, A Maximum Principle, An Example: The Shape of a Drum

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