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Course11110212972 lectures

Integral Transforms and their Applications

Prof. Sarthok Sircar · IIIT Delhi

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Introduction to Fourier Transforms - Part 1 Video
  2. Introduction to Fourier Transforms - Part 2 Video
  3. Introduction to Fourier Transforms - Part 3 Video
  4. Properties of Fourier transforms, Shannon Sampling Theorem, Gibb's Phenomena - Part 1 Video
  5. Properties of Fourier transforms, Shannon Sampling Theorem, Gibb's Phenomena - Part 2 Video
  6. Properties of Fourier transforms, Shannon Sampling Theorem, Gibb's Phenomena - Part 3 Video

Week 2

  1. Applications of Fourier Transforms - Part 1 Video
  2. Applications of Fourier Transforms - Part 2 Video
  3. Applications of Fourier Transforms - Part 3 Video
  4. Introduction to Laplace Transforms - Part 1 Video
  5. Introduction to Laplace Transforms - Part 2 Video
  6. Introduction to Laplace Transforms - Part 3 Video

Week 3

  1. Inverse Laplace Transform, Initial and Final Value Theorems - Part 1 Video
  2. Inverse Laplace Transform, Initial and Final Value Theorems - Part 2 Video
  3. Inverse Laplace Transform, Initial and Final Value Theorems - Part 3 Video
  4. Applications of Laplace Transforms - Part 1 Video
  5. Applications of Laplace Transforms - Part 2 Video
  6. Applications of Laplace Transforms - Part 3 Video

Week 4

  1. Applications of Laplace Transforms (Continued) - Part 1 Video
  2. Applications of Laplace Transforms (Continued) - Part 2 Video
  3. Applications of Laplace Transforms (Continued) - Part 3 Video
  4. Applications of Fourier-Laplace Transforms - Part 1 Video
  5. Applications of Fourier-Laplace Transforms - Part 2 Video
  6. Applications of Fourier-Laplace Transforms - Part 3 Video

Week 5

  1. Introduction to Hankel Transforms - Part 1 Video
  2. Introduction to Hankel Transforms - Part 2 Video
  3. Introduction to Hankel Transforms - Part 3 Video
  4. Introduction to Mellin Transforms - Part 1 Video
  5. Introduction to Mellin Transforms - Part 2 Video
  6. Introduction to Mellin Transforms - Part 3 Video

Week 6

  1. Introduction to Hilbert Transforms - Part 1 Video
  2. Introduction to Hilbert Transforms - Part 2 Video
  3. Introduction to Hilbert Transforms - Part 3 Video
  4. Applications of Hilbert Transfroms, Introduction to Stieltjes Transform - Part 1 Video
  5. Applications of Hilbert Transfroms, Introduction to Stieltjes Transform - Part 2 Video
  6. Applications of Hilbert Transfroms, Introduction to Stieltjes Transform - Part 3 Video

Week 7

  1. Applications of Stieltjes Transform, Generalized Stieltjes Transform - Part 1 Video
  2. Applications of Stieltjes Transform, Generalized Stieltjes Transform - Part 2 Video
  3. Applications of Stieltjes Transform, Generalized Stieltjes Transform - Part 3 Video
  4. Introduction to Legendre Transform - Part 1 Video
  5. Introduction to Legendre Transform - Part 2 Video
  6. Introduction to Legendre Transform - Part 3 Video

Week 8

  1. Introduction to Z-transform - Part 1 Video
  2. Introduction to Z-transform - Part 2 Video
  3. Introduction to Z-transform - Part 3 Video
  4. Inverse Z-transfrom, Applciations of Z-Transform - Part 1 Video
  5. Inverse Z-transfrom, Applciations of Z-Transform - Part 2 Video
  6. Inverse Z-transfrom, Applciations of Z-Transform - Part 3 Video

Week 9

  1. Introduction to Radon Transform - Part 1 Video
  2. Introduction to Radon Transform - Part 2 Video
  3. Introduction to Radon Transform - Part 3 Video
  4. Inverse Radon Transform, Applications to Radon Transform - Part 1 Video
  5. Inverse Radon Transform, Applications to Radon Transform - Part 2 Video
  6. Inverse Radon Transform, Applications to Radon Transform - Part 3 Video

Week 10

  1. Introduction to Fractional Calculus - Part 1 Video
  2. Introduction to Fractional Calculus - Part 2 Video
  3. Introduction to Fractional Calculus - Part 3 Video
  4. Fractional ODEs, Abel's Integral Equations - Part 1 Video
  5. Fractional ODEs, Abel's Integral Equations - Part 2 Video
  6. Fractional ODEs, Abel's Integral Equations - Part 3 Video

Week 11

  1. Fractional PDEs - Part 1 Video
  2. Fractional PDEs - Part 2 Video
  3. Fractional PDEs - Part 3 Video
  4. Fractional ODEs and PDEs (Continued) - Part 1 Video
  5. Fractional ODEs and PDEs (Continued) - Part 2 Video
  6. Fractional ODEs and PDEs (Continued) - Part 3 Video

Week 12

  1. Introduction to Wavelet Transform - Part 1 Video
  2. Introduction to Wavelet Transform - Part 2 Video
  3. Introduction to Wavelet Transform - Part 3 Video
  4. Discrete Haar, Shanon and Debauchies Wavelet - Part 1 Video
  5. Discrete Haar, Shanon and Debauchies Wavelet - Part 2 Video
  6. Discrete Haar, Shanon and Debauchies Wavelet - Part 3 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIIT Delhi
Department
Mathematics
Teacher
Prof. Sarthok Sircar
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
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