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Integral Transform - Laplace & Fourier Transform

Dr. Gajendra Purohit via YouTube

Overview

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This course covers integral transforms, specifically Fourier and Laplace transforms, including their applications to ordinary and partial differential equations. Students will learn about Fourier sine and cosine transforms, shifting, multiplication, and division properties of Laplace transforms, and the Z-transform. The teaching method includes examples and solutions provided by the instructor. This course is intended for learners interested in advanced mathematics and its applications in differential equations.

Syllabus

Fourier Transform Examples and Solutions | Inverse Fourier Transform.
Fourier Sine and Cosine Transform Examples and Solutions By GP Sir.
Application of Fourier Transforms to Boundary Value (PDE) Problems.
Formula of Laplace Transform and Inverse Laplace Transform | By Gp Sir.
Laplace Transform - First Shifting Theorem with Example | By GP Sir.
Laplace & Inverse Laplace Transform - Second Shifting Theorem | GP Sir.
Laplace & Inverse Laplace Transform - Multiplication Property | Gp Sir.
Laplace & Inverse Laplace Transform - Division Property | By Gp Sir.
Inverse Laplace Transform -Convolution Theorem Examples | By GP Sir.
Laplace Transform | Application to Ordinary Differential Equation | GP.
Laplace Transform | Application to Partial Differential Equations | GP.
Z-Transform | Inverse Z-Transform | Concept & Examples Of Z-Transform.
Z-Transform | Example Based on Z- Transform.
Properties of Z- Transform | Change of Scale | Shifting Properties.
Inverse Z-Transform | Inverse Z-Transform Using Partial Fraction | Problems and Example.
Z-Transform | Inverse Z-Transform Convolution Method | Examples.

Taught by

Gajendra Purohit

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