| 1 | Introduction to Fourier series | PDF unavailable |
| 2 | Fourier series - Examples | PDF unavailable |
| 3 | Complex Fourier series | PDF unavailable |
| 4 | Conditions for the Convergence of Fourier Series | PDF unavailable |
| 5 | Conditions for the Convergence of Fourier Series(continued) | PDF unavailable |
| 6 | Use of Delta function in the Fourier series convergence | PDF unavailable |
| 7 | More Examples on Fourier Series of a Periodic Signal | PDF unavailable |
| 8 | Gibb's Phenomenon in the Computation of Fourier Series | PDF unavailable |
| 9 | Properties of Fourier Transform of a Periodic Signal | PDF unavailable |
| 10 | Properties of Fourier transform (continued) | PDF unavailable |
| 11 | Parseval's Identity and Recap of Fourier series | PDF unavailable |
| 12 | Fourier integral theorem-an informal proof | PDF unavailable |
| 13 | Definition of Fourier transforms | PDF unavailable |
| 14 | Fourier transform of a Heavyside function | PDF unavailable |
| 15 | Use of Fourier transforms to evaluate some integrals | PDF unavailable |
| 16 | Evaluation of an integral- Recall of complex function theory | PDF unavailable |
| 17 | Properties of Fourier transforms of non-periodic signals | PDF unavailable |
| 18 | More properties of Fourier transforms | PDF unavailable |
| 19 | Fourier integral theorem - proof | PDF unavailable |
| 20 | Application of Fourier transform to ODE's | PDF unavailable |
| 21 | Application of Fourier transforms to differential and integral equations | PDF unavailable |
| 22 | Evaluation of integrals by Fourier transforms | PDF unavailable |
| 23 | D'Alembert's solution by Fourier transform | PDF unavailable |
| 24 | Solution of Heat equation by Fourier transform | PDF unavailable |
| 25 | Solution of Heat and Laplace equations by Fourier transform | PDF unavailable |
| 26 | Introduction to Laplace transform | PDF unavailable |
| 27 | Laplace transform of elementary functions | PDF unavailable |
| 28 | Properties of Laplace transforms | PDF unavailable |
| 29 | Properties of Laplace transforms (continued) | PDF unavailable |
| 30 | Methods of finding inverse Laplace transform | PDF unavailable |
| 31 | Heavyside expansion theorem | PDF unavailable |
| 32 | Review of complex function theory | PDF unavailable |
| 33 | Inverse Laplace transform by contour integration | PDF unavailable |
| 34 | Application of Laplace transforms-ODEs' | PDF unavailable |
| 35 | Solutions of initial or boundary value problems for ODEs' | PDF unavailable |
| 36 | Solving first order PDE's by Laplace transform | PDF unavailable |
| 37 | Solution of wave equation by Laplace transform | PDF unavailable |
| 38 | Solving hyperbolic equations by Laplace transform | PDF unavailable |
| 39 | Solving heat equation by Laplace transform | PDF unavailable |
| 40 | Initial boundary value problems for heat equations | PDF unavailable |
| 41 | Solution of integral equations by Laplace transform | PDF unavailable |
| 42 | Evaluation of integrals by Laplace transform | PDF unavailable |
| 43 | Introduction to Z-transforms | PDF unavailable |
| 44 | Properties of Z-transforms | PDF unavailable |
| 45 | Inverse Z-transforms | PDF unavailable |
| 46 | Solution of difference equations by Z-transforms | PDF unavailable |
| 47 | Evaluation of infinite sums by Z-transforms | PDF unavailable |
| 48 | conclusions | PDF unavailable |