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The Fourier Transform and Derivatives

Steve Brunton
10 min
Beginner
Video
Theory

This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations.

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Derivation of the 1D Wave Equation

Christopher Lum
26 min
Beginner
Video
Theory

In this video, we derive the 1D wave equation. This partial differential equation (PDE) applies to scenarios such as the vibrations of a continuous string. ...

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Control Systems Lectures - LTI Systems

Brian Douglas
7 min
Beginner
Video
Theory

This lecture describes what it means when we say a system is linear and time invariant. I also try to give an example as to why these systems are so important when designing control systems...

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crash course on complex numbers

Iman Moazzen
10 min
Beginner
Video
Theory

In this video, we quickly review “Complex Numbers”. The following materials are covered:1- Cartesian and polar representation of complex numbers2- how to con...

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Machine Learning Overview

Steve Brunton
7 min
Beginner
Video
Theory

This lecture provides an overview of machine learning, and how it fits into this introductory video sequence on data science. We discuss how machine learning involves "modeling with data".

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Feedforward Control Intro

Vincent Stevenson
7 min
Beginner
Video
Theory

If we know how a disturbance will affect an output, we can proactively change our manipulated variable to counteract it.

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The Laplace Transform

Christopher Lum
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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