# Integral Transforms and their Applications

- Institution: IIIT Delhi
- Department: Mathematics
- Teacher: Prof. Sarthok Sircar
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111102129)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111102129)
- 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 Transforms - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/95fb1582fe4d) (Video)
2. [Introduction to Fourier Transforms - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/51b495d72833) (Video)
3. [Introduction to Fourier Transforms - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/8cb1a4916d62) (Video)
4. [Properties of Fourier transforms, Shannon Sampling Theorem, Gibb's Phenomena - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/74539697d8c5) (Video)
5. [Properties of Fourier transforms, Shannon Sampling Theorem, Gibb's Phenomena - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/8b398c9b19b1) (Video)
6. [Properties of Fourier transforms, Shannon Sampling Theorem, Gibb's Phenomena - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/0728eb2d240d) (Video)
7. [Applications of Fourier Transforms - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/df8ad552f8dc) (Video)
8. [Applications of Fourier Transforms - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/a488b33e886f) (Video)
9. [Applications of Fourier Transforms - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/90e675276caa) (Video)
10. [Introduction to Laplace Transforms - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/01c243755722) (Video)
11. [Introduction to Laplace Transforms - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/9711228b36ba) (Video)
12. [Introduction to Laplace Transforms - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/bbb703a3945b) (Video)
13. [Inverse Laplace Transform, Initial and Final Value Theorems - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/0f41ef3048a1) (Video)
14. [Inverse Laplace Transform, Initial and Final Value Theorems - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/a2c68cee8704) (Video)
15. [Inverse Laplace Transform, Initial and Final Value Theorems - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/f7fcfa707ab4) (Video)
16. [Applications of Laplace Transforms - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/a71e4b741698) (Video)
17. [Applications of Laplace Transforms - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/cccd1a63e3c7) (Video)
18. [Applications of Laplace Transforms - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/85aceed8009c) (Video)
19. [Applications of Laplace Transforms (Continued) - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/d5c09780f02f) (Video)
20. [Applications of Laplace Transforms (Continued) - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/7d6fde2bbfbf) (Video)
21. [Applications of Laplace Transforms (Continued) - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/f4d7e6318446) (Video)
22. [Applications of Fourier-Laplace Transforms - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/edeb617ef40b) (Video)
23. [Applications of Fourier-Laplace Transforms - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/68dbb27f316b) (Video)
24. [Applications of Fourier-Laplace Transforms - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/c82ca98179ef) (Video)
25. [Introduction to Hankel Transforms - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/9a07e45fb53e) (Video)
26. [Introduction to Hankel Transforms - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/ab4a6562707e) (Video)
27. [Introduction to Hankel Transforms - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/d04824dc2c54) (Video)
28. [Introduction to Mellin Transforms - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/3dba83c3edba) (Video)
29. [Introduction to Mellin Transforms - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/e9d3bb1f1af9) (Video)
30. [Introduction to Mellin Transforms - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/6e6bdf70fce8) (Video)
31. [Introduction to Hilbert Transforms - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/869211df9413) (Video)
32. [Introduction to Hilbert Transforms - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/ee89be6712ab) (Video)
33. [Introduction to Hilbert Transforms - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/e5f7e4180595) (Video)
34. [Applications of Hilbert Transfroms, Introduction to Stieltjes Transform - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/cd470799829d) (Video)
35. [Applications of Hilbert Transfroms, Introduction to Stieltjes Transform - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/e83e7f5020f1) (Video)
36. [Applications of Hilbert Transfroms, Introduction to Stieltjes Transform - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/7ca52c3ae0bf) (Video)
37. [Applications of Stieltjes Transform, Generalized Stieltjes Transform - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/d65929af0a56) (Video)
38. [Applications of Stieltjes Transform, Generalized Stieltjes Transform - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/2f3de2db25d9) (Video)
39. [Applications of Stieltjes Transform, Generalized Stieltjes Transform - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/46a2e117c2c1) (Video)
40. [Introduction to Legendre Transform - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/cc6fc441cccf) (Video)
41. [Introduction to Legendre Transform - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/f7d9a106d9ee) (Video)
42. [Introduction to Legendre Transform - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/a72d51964c0f) (Video)
43. [Introduction to Z-transform - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/4cdfe5768c9f) (Video)
44. [Introduction to Z-transform - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/20a9d53718f7) (Video)
45. [Introduction to Z-transform - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/5053fc4bf7b1) (Video)
46. [Inverse Z-transfrom, Applciations of Z-Transform - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/760f0de677c8) (Video)
47. [Inverse Z-transfrom, Applciations of Z-Transform - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/3a9c33123eea) (Video)
48. [Inverse Z-transfrom, Applciations of Z-Transform - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/58026a5aa81e) (Video)
49. [Introduction to Radon Transform - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/2fafdedda3c4) (Video)
50. [Introduction to Radon Transform - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/2b90fc1621e6) (Video)
51. [Introduction to Radon Transform - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/bc75581efb61) (Video)
52. [Inverse Radon Transform, Applications to Radon Transform - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/00a8f4b35b47) (Video)
53. [Inverse Radon Transform, Applications to Radon Transform - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/896d1843d05f) (Video)
54. [Inverse Radon Transform, Applications to Radon Transform - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/617b58da3673) (Video)
55. [Introduction to Fractional Calculus - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/1d193c257c00) (Video)
56. [Introduction to Fractional Calculus - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/ea2200d3c1b4) (Video)
57. [Introduction to Fractional Calculus - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/8488a7ce037d) (Video)
58. [Fractional ODEs, Abel's Integral Equations - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/0d4ff0b9a42a) (Video)
59. [Fractional ODEs, Abel's Integral Equations - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/aa83c2df8add) (Video)
60. [Fractional ODEs, Abel's Integral Equations - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/721b86a0c2d6) (Video)
61. [Fractional PDEs - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/b2bd3051c362) (Video)
62. [Fractional PDEs - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/d0047ebb5c09) (Video)
63. [Fractional PDEs - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/d05b23ad430d) (Video)
64. [Fractional ODEs and PDEs (Continued) - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/d4ae8a3f7ed2) (Video)
65. [Fractional ODEs and PDEs (Continued) - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/cdb1dd48976c) (Video)
66. [Fractional ODEs and PDEs (Continued) - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/e61e85a10174) (Video)
67. [Introduction to Wavelet Transform - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/97220c2f42b9) (Video)
68. [Introduction to Wavelet Transform - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/c6d155021279) (Video)
69. [Introduction to Wavelet Transform - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/61ce5fac5101) (Video)
70. [Discrete Haar, Shanon and Debauchies Wavelet - Part 1](https://invisiblenetwork.ai/learn/nptel/111102129/5da1dd0b098f) (Video)
71. [Discrete Haar, Shanon and Debauchies Wavelet - Part 2](https://invisiblenetwork.ai/learn/nptel/111102129/63f068a562e3) (Video)
72. [Discrete Haar, Shanon and Debauchies Wavelet - Part 3](https://invisiblenetwork.ai/learn/nptel/111102129/2891d549fdef) (Video)