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The Taylor Series

Christopher Lum
84 min
Beginner
Video
Theory

In this video we discuss the Taylor Series (and the closely related Maclaurin Series). These are two specific types of Power Series that allow you to approx...

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Sketching Root Locus Part 1

Brian Douglas
13 min
Beginner
Video
Theory

Sketching a root locus by hand can be done by following some simple rules. However, more important than actually being able to sketch to plot is being able to use our knowledge to design...

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Parseval's Theorem

Steve Brunton
5 min
Intermediate
Video
Theory

Parseval's theorem is an important result in Fourier analysis that can be used to put guarantees on the accuracy of signal approximation in the Fourier domain.

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Control Bootcamp: Full-State Estimation

Steve Brunton
11 min
Beginner
Video
Theory

This video describes full-state estimation. An estimator dynamical system is constructed, and it is shown that the estimate converges to the true state. Further, the eigenvalues of the...

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Solving the 2D Wave Equation

Christopher Lum
73 min
Beginner
Video
Theory

In this video, we solve the 2D wave equation. We utilize two successive separation of variables to solve this partial differential equation. Topics discuss...

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Linear Regression 1 [Python]

Steve Brunton
6 min
Intermediate
Video
Application

This video describes how the singular value decomposition (SVD) can be used for linear regression in Python (part 1).

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Bode Plots by Hand: Real Constants

Brian Douglas
8 min
Beginner
Video
Theory

This video describes the benefit of being able to approximate a Bode plot by hand and explains what a Bode plot looks like for a simple transfer function; a real constant.

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