# Transform Techniques for Engineers

- Institution: IIT Madras
- Department: Mathematics
- Teacher: Prof. Srinivasa Rao Manam
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111106111)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111106111)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction to Fourier series](https://invisiblenetwork.ai/learn/nptel/111106111/6ee38578c62c) (Video)
2. [Fourier series - Examples](https://invisiblenetwork.ai/learn/nptel/111106111/1c586adfb1db) (Video)
3. [Complex Fourier series](https://invisiblenetwork.ai/learn/nptel/111106111/333bee9646dc) (Video)
4. [Conditions for the Convergence of Fourier Series](https://invisiblenetwork.ai/learn/nptel/111106111/6d2a9aa25751) (Video)
5. [Conditions for the Convergence of Fourier Series(continued)](https://invisiblenetwork.ai/learn/nptel/111106111/c7a4f21c6257) (Video)
6. [Use of Delta function in the Fourier series convergence](https://invisiblenetwork.ai/learn/nptel/111106111/5f8d7bdea090) (Video)
7. [More Examples on Fourier Series of a Periodic Signal](https://invisiblenetwork.ai/learn/nptel/111106111/dde952a13f69) (Video)
8. [Gibb's Phenomenon in the Computation of Fourier Series](https://invisiblenetwork.ai/learn/nptel/111106111/54d41142b63b) (Video)
9. [Properties of Fourier Transform of a Periodic Signal](https://invisiblenetwork.ai/learn/nptel/111106111/339b60aea724) (Video)
10. [Properties of Fourier transform (continued)](https://invisiblenetwork.ai/learn/nptel/111106111/c75b1e9f6a4b) (Video)
11. [Parseval's Identity and Recap of Fourier series](https://invisiblenetwork.ai/learn/nptel/111106111/8e225886d898) (Video)
12. [Fourier integral theorem-an informal proof](https://invisiblenetwork.ai/learn/nptel/111106111/8ccb8460b265) (Video)
13. [Definition of Fourier transforms](https://invisiblenetwork.ai/learn/nptel/111106111/92bd3273b76e) (Video)
14. [Fourier transform of a Heavyside function](https://invisiblenetwork.ai/learn/nptel/111106111/bdad6885a2c1) (Video)
15. [Use of Fourier transforms to evaluate some integrals](https://invisiblenetwork.ai/learn/nptel/111106111/f2203d07f58e) (Video)
16. [Evaluation of an integral- Recall of complex function theory](https://invisiblenetwork.ai/learn/nptel/111106111/a0ed2bc2072e) (Video)
17. [Properties of Fourier transforms of non-periodic signals](https://invisiblenetwork.ai/learn/nptel/111106111/458f80235984) (Video)
18. [More properties of Fourier transforms](https://invisiblenetwork.ai/learn/nptel/111106111/dfe3ae0af42c) (Video)
19. [Fourier integral theorem - proof](https://invisiblenetwork.ai/learn/nptel/111106111/c03cdaa43730) (Video)
20. [Application of Fourier transform to ODE's](https://invisiblenetwork.ai/learn/nptel/111106111/909cbf1900e7) (Video)
21. [Application of Fourier transforms to differential and integral equations](https://invisiblenetwork.ai/learn/nptel/111106111/d196fea9f28d) (Video)
22. [Evaluation of integrals by Fourier transforms](https://invisiblenetwork.ai/learn/nptel/111106111/9d13d69958b5) (Video)
23. [D'Alembert's solution by Fourier transform](https://invisiblenetwork.ai/learn/nptel/111106111/b62356e37e4d) (Video)
24. [Solution of Heat equation by Fourier transform](https://invisiblenetwork.ai/learn/nptel/111106111/2ad90514d333) (Video)
25. [Introduction to Laplace transform](https://invisiblenetwork.ai/learn/nptel/111106111/133c755e6cfb) (Video)
26. [Laplace transform of elementary functions](https://invisiblenetwork.ai/learn/nptel/111106111/e11ad659e79f) (Video)
27. [Properties of Laplace transforms](https://invisiblenetwork.ai/learn/nptel/111106111/cafb6db8e6b3) (Video)
28. [Properties of Laplace transforms (continued)](https://invisiblenetwork.ai/learn/nptel/111106111/69c3f781a246) (Video)
29. [Methods of finding inverse Laplace transform](https://invisiblenetwork.ai/learn/nptel/111106111/90289273e0bf) (Video)
30. [Heavyside expansion theorem](https://invisiblenetwork.ai/learn/nptel/111106111/198baf69f797) (Video)
31. [Review of complex function theory](https://invisiblenetwork.ai/learn/nptel/111106111/0137d24324bc) (Video)
32. [Inverse Laplace transform by contour integration](https://invisiblenetwork.ai/learn/nptel/111106111/b2bb1179075f) (Video)
33. [Application of Laplace transforms-ODEs'](https://invisiblenetwork.ai/learn/nptel/111106111/5b8758ae3d44) (Video)
34. [Solutions of initial or boundary value problems for ODEs'](https://invisiblenetwork.ai/learn/nptel/111106111/07039b0b1e00) (Video)
35. [Solving first order PDE's by Laplace transform](https://invisiblenetwork.ai/learn/nptel/111106111/bffe0e554d99) (Video)
36. [Solution of wave equation by Laplace transform](https://invisiblenetwork.ai/learn/nptel/111106111/b7a263d702fb) (Video)
37. [Solving hyperbolic equations by Laplace transform](https://invisiblenetwork.ai/learn/nptel/111106111/054732984955) (Video)
38. [Solving heat equation by Laplace transform](https://invisiblenetwork.ai/learn/nptel/111106111/fba20194d0c7) (Video)
39. [Initial boundary value problems for heat equations](https://invisiblenetwork.ai/learn/nptel/111106111/756e33332bfb) (Video)
40. [Solution of integral equations by Laplace transform](https://invisiblenetwork.ai/learn/nptel/111106111/5e61c028c922) (Video)
41. [Evaluation of integrals by Laplace transform](https://invisiblenetwork.ai/learn/nptel/111106111/7e6a5a5c110c) (Video)
42. [Introduction to Z-transforms](https://invisiblenetwork.ai/learn/nptel/111106111/306dae1e817b) (Video)
43. [Properties of Z-transforms](https://invisiblenetwork.ai/learn/nptel/111106111/0f867227cb6e) (Video)
44. [Inverse Z-transforms](https://invisiblenetwork.ai/learn/nptel/111106111/29335e99ca16) (Video)
45. [Solution of difference equations by Z-transforms](https://invisiblenetwork.ai/learn/nptel/111106111/4862d64773e5) (Video)
46. [Evaluation of infinite sums by Z-transforms](https://invisiblenetwork.ai/learn/nptel/111106111/2810ecc73a5a) (Video)
47. [conclusions](https://invisiblenetwork.ai/learn/nptel/111106111/25da54c45939) (Video)