NPTEL : NOC:Integral Transforms and their Applications (Mathematics)

Co-ordinators : Prof. Sarthok Sircar


Lecture 1 - Introduction to Fourier Transforms - Part 1

Lecture 2 - Introduction to Fourier Transforms - Part 2

Lecture 3 - Introduction to Fourier Transforms - Part 3

Lecture 4 - Properties of Fourier transforms, Shannon Sampling Theorem, Gibb's Phenomena - Part 1

Lecture 5 - Properties of Fourier transforms, Shannon Sampling Theorem, Gibb's Phenomena - Part 2

Lecture 6 - Properties of Fourier transforms, Shannon Sampling Theorem, Gibb's Phenomena - Part 3

Lecture 7 - Applications of Fourier Transforms - Part 1

Lecture 8 - Applications of Fourier Transforms - Part 2

Lecture 9 - Applications of Fourier Transforms - Part 3

Lecture 10 - Introduction to Laplace Transforms - Part 1

Lecture 11 - Introduction to Laplace Transforms - Part 2

Lecture 12 - Introduction to Laplace Transforms - Part 3

Lecture 13 - Inverse Laplace Transform, Initial and Final Value Theorems - Part 1

Lecture 14 - Inverse Laplace Transform, Initial and Final Value Theorems - Part 2

Lecture 15 - Inverse Laplace Transform, Initial and Final Value Theorems - Part 3

Lecture 16 - Applications of Laplace Transforms - Part 1

Lecture 17 - Applications of Laplace Transforms - Part 2

Lecture 18 - Applications of Laplace Transforms - Part 3

Lecture 19 - Applications of Laplace Transforms (Continued) - Part 1

Lecture 20 - Applications of Laplace Transforms (Continued) - Part 2

Lecture 21 - Applications of Laplace Transforms (Continued) - Part 3

Lecture 22 - Applications of Fourier-Laplace Transforms - Part 1

Lecture 23 - Applications of Fourier-Laplace Transforms - Part 2

Lecture 24 - Applications of Fourier-Laplace Transforms - Part 3

Lecture 25 - Introduction to Hankel Transforms - Part 1

Lecture 26 - Introduction to Hankel Transforms - Part 2

Lecture 27 - Introduction to Hankel Transforms - Part 3

Lecture 28 - Introduction to Mellin Transforms - Part 1

Lecture 29 - Introduction to Mellin Transforms - Part 2

Lecture 30 - Introduction to Mellin Transforms - Part 3

Lecture 31 - Introduction to Hilbert Transforms - Part 1

Lecture 32 - Introduction to Hilbert Transforms - Part 2

Lecture 33 - Introduction to Hilbert Transforms - Part 3

Lecture 34 - Applications of Hilbert Transfroms, Introduction to Stieltjes Transform - Part 1

Lecture 35 - Applications of Hilbert Transfroms, Introduction to Stieltjes Transform - Part 2

Lecture 36 - Applications of Hilbert Transfroms, Introduction to Stieltjes Transform - Part 3

Lecture 37 - Applications of Stieltjes Transform, Generalized Stieltjes Transform - Part 1

Lecture 38 - Applications of Stieltjes Transform, Generalized Stieltjes Transform - Part 2

Lecture 39 - Applications of Stieltjes Transform, Generalized Stieltjes Transform - Part 3

Lecture 40 - Introduction to Legendre Transform - Part 1

Lecture 41 - Introduction to Legendre Transform - Part 2

Lecture 42 - Introduction to Legendre Transform - Part 3

Lecture 43 - Introduction to Z-transform - Part 1

Lecture 44 - Introduction to Z-transform - Part 2

Lecture 45 - Introduction to Z-transform - Part 3

Lecture 46 - Inverse Z-transfrom, Applciations of Z-Transform - Part 1

Lecture 47 - Inverse Z-transfrom, Applciations of Z-Transform - Part 2

Lecture 48 - Inverse Z-transfrom, Applciations of Z-Transform - Part 3

Lecture 49 - Introduction to Radon Transform - Part 1

Lecture 50 - Introduction to Radon Transform - Part 2

Lecture 51 - Introduction to Radon Transform - Part 3

Lecture 52 - Inverse Radon Transform, Applications to Radon Transform - Part 1

Lecture 53 - Inverse Radon Transform, Applications to Radon Transform - Part 2

Lecture 54 - Inverse Radon Transform, Applications to Radon Transform - Part 3

Lecture 55 - Introduction to Fractional Calculus - Part 1

Lecture 56 - Introduction to Fractional Calculus - Part 2

Lecture 57 - Introduction to Fractional Calculus - Part 3

Lecture 58 - Fractional ODEs, Abel's Integral Equations - Part 1

Lecture 59 - Fractional ODEs, Abel's Integral Equations - Part 2

Lecture 60 - Fractional ODEs, Abel's Integral Equations - Part 3

Lecture 61 - Fractional PDEs - Part 1

Lecture 62 - Fractional PDEs - Part 2

Lecture 63 - Fractional PDEs - Part 3

Lecture 64 - Fractional ODEs and PDEs (Continued) - Part 1

Lecture 65 - Fractional ODEs and PDEs (Continued) - Part 2

Lecture 66 - Fractional ODEs and PDEs (Continued) - Part 3

Lecture 67 - Introduction to Wavelet Transform - Part 1

Lecture 68 - Introduction to Wavelet Transform - Part 2

Lecture 69 - Introduction to Wavelet Transform - Part 3

Lecture 70 - Discrete Haar, Shanon and Debauchies Wavelet - Part 1

Lecture 71 - Discrete Haar, Shanon and Debauchies Wavelet - Part 2

Lecture 72 - Discrete Haar, Shanon and Debauchies Wavelet - Part 3