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Integral Transforms: Fourier and Laplace

pages 1-7:
Fourier Transforms, Closure Relation, An Example

pages 8-15:
Fourier Transforms of Derivatives and Integrals; Convolution and Parseval Relation

additional notes:
Fourier Transforms: Convolution and Causality

pages 16-22:
Fourier Transforms: Solution of PDE's and Driven (Inhomogeneous) ODE's

pages 23-34:
Laplace Transforms: Definition, Inverse, Other Operations

pages 35-38:
Laplace Transforms: Solution of Initial Value Problems

pages 39-46:
Laplace Transforms: Other Properties