# Laplace Transform

In mathematics, the Laplace transform, named after its inventor Pierre-Simon Laplace, is an integral transform that converts a function of a real variable t (often time) to a function of a complex variable s (complex frequency).

The transform has many applications in science and engineering because it is a tool for solving differential equations. In particular, it transforms differential equations into algebraic equations and convolution into multiplication.

from Laplace Transform - Wikipedia

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## The Laplace Transform

115 min
Beginner
Video
Theory

In this video we show how to perform the Laplace transform on a signal in the time domain to obtain its equivalent representation in the Laplace domain. Top...

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## Laplace domain – tutorial 3: Laplace transform tables

17 min
Beginner
Video
Theory

In this video, we cover Laplace transform tables which help us to quickly find Laplace and inverse Laplace transforms. The main learning objective is to full...

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## The Inverse Laplace Transform

48 min
Beginner
Video
Theory

In this video we show how to perform the inverse Laplace transform on a signal in the Laplace domain to obtain its equivalent representation in the time doma...

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## Laplace domain – tutorial 4: Laplace transform examples

20 min
Beginner
Video
Theory

In this video, we solve lots of examples to practice how to quickly find Laplace transform using the table of pairs & properties and five golden rules on ROC...

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## Laplace Transforms to Derive Transfer Functions

14 min
Beginner
Video
Theory

Once we have a state space model, we will take a Laplace Transform to derive the transfer function to determine the response of an output relative to an inpu...

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## Laplace domain – tutorial 5: Inverse Laplace transform

24 min
Beginner
Video
Theory

In this video, we cover inverse Laplace transform which enables us to travel back from Laplace to the time domain. We will learn how to use simple tricks alo...

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## The Laplace Transform - A Graphical Approach

13 min
Beginner
Video
Theory

A lot of books cover how to perform a Laplace Transform to solve differential equations. This video tries to show graphically what the Laplace Transform is doing and why figuring out the...

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## Laplace domain – tutorial 2: Region of Convergence (ROC)

8 min
Beginner
Video
Theory

In this video, we learn five golden rules on how to quickly find the Region of Convergence (ROC) of Laplace transform. Learn Signal Processing 101 in 31 lect...

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## Control Bootcamp: Laplace Transforms and the Transfer Function

19 min
Beginner
Video
Theory

Here we show how to compute the transfer function using the Laplace transform.

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## Laplace domain – tutorial 1: Laplace transform

15 min
Beginner
Video
Theory

In this video, we learn about Laplace transform which enables us to travel from time to the Laplace domain. The following materials are covered:1) why we nee...

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## Laplace domain – tutorial 6: Transfer function & system properties

24 min
Beginner
Video
Theory

In this video, we learn about transfer function and system properties. The following materials are covered:1) what is a transfer function?2) relation between...

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