Course Details

Riemann - Lebesgue Lemma, localization lemma, Fourier integral theorem, Fourier Transform, Inversion, Convolution and Parseval's Theorem, Applications to Partial Differential Equations.
Laplace transform :Definition, properties, Complex inversion, Applications to initial and boundary value problems.
Z - Transform and Difference equations

Course References:

Text Books:
1. I.N. Sneddon, The Use of Integral Transforms, Tata Mc-Graw Hill (1974)
2. J.L. Schiff, The Laplace Transform, Springer (1999)
3. Michael Frazier, An Introduction to wavelets through Linear Algebra, Springer, 1999 (Chapter 2)
4. A.V. Oppenheim & R.W. Schafer, Digital Signal Processing, Prentice-Hall, 1975.
1.M.R. Spiegel, Laplace Transforms (Schaum's Series), McGraw-Hill, 1965.
2.M.R. Spiegel, Advanced Mathematics for Engineers and Scientists, (Schaum's Series), McGraw Hill, 1983.
3.Jeffery M. Cooper, Introduction to PDE with MATLAB (Chapter 6) Birkhauser, 1997.