Laplace Transform

Overview

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Dive into a comprehensive 3.5-hour tutorial on Laplace Transform, covering its definition, derivation of essential transforms, and practical applications in solving differential equations. Master the calculation of Laplace transforms and their inverses through extensive practice sessions. Explore advanced topics including properties of Laplace transforms and their application to piecewise functions. Gain proficiency in using Laplace transforms to solve ordinary differential equations (ODEs) through multiple in-depth lessons. Conclude with a summary of Laplace transform rules, solidifying your understanding of this powerful mathematical tool used in engineering and applied mathematics.

Syllabus

Lesson 1 - Laplace Transform Definition (Engineering Math).
02 - Deriving the Essential Laplace Transforms, Part 1.
03 - Deriving the Essential Laplace Transforms, Part 2.
04 - Table of Laplace Transforms and their Inverses.
05 - Practice Calculating Laplace Transforms, Part 1.
06 - Practice Calculating Laplace Transforms, Part 2.
07 - Practice Calculating Inverse Laplace Transforms, Part 1.
08 - Practice Calculating Inverse Laplace Transforms, Part 2.
09 - Solve Differential Equations with Laplace Transforms, Part 1.
10 - Solve Differential Equations (ODEs) w/ Laplace Transforms, Part 2.
11 - Solve Differential Equations (ODEs) w/ Laplace Transforms, Part 3.
Lesson 12 - Solving Odes With Laplace Transforms, Part 4.
Lesson 13 - Solving Odes With Laplace Transforms, Part 5.
Lesson 14 - Solving Odes With Laplace Transforms, Part 6.
Lesson 15 - Solving Odes With Laplace Transforms, Part 7.
Lesson 16 - More Properties Of The Laplace Transform, Part 1.
Lesson 17 - More Properties Of The Laplace Transform, Part 2.
Lesson 18 - More Properties Of The Laplace Transform, Part 3.
Lesson 19 - Laplace Transform Of Piecewise Functions, Part 1.
Lesson 20 - Laplace Transform Of Piecewise Functions, Part 2.
Lesson 21 - Laplace Transform Of Piecewise Functions, Part 3.
Lesson 22 - Summary Of Laplace Transform Rules.