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Solving the 1D Wave Equation

Christopher Lum
118 min
Beginner
Video
Theory

In this video, we solve the 1D wave equation. We utilize the separation of variables method to solve this 2nd order, linear, homogeneous, partial differenti...

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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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Closed Loop Feedback Control

Vincent Stevenson
13 min
Beginner
Video
Theory

Intro to closed loop (feedback) control motivation, theory, block diagrams and block diagram algebra, and PID controllers

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Drone Control and the Complementary Filter

Brian Douglas
11 min
Beginner
Video
Theory

Let's talk about the complementary filter and how we can use it to estimate the attitude of a drone using an IMU. It is such a dead simple filter, which is a good reason to learn it, but it...

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Linear Regression 3 [Python]

Steve Brunton
10 min
Intermediate
Video
Application

This video describes how the singular value decomposition (SVD) can be used for linear regression in Python (part 3).

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PID Control - A brief introduction

Brian Douglas
7 min
Beginner
Video
Theory

In this video, I introduce the topic of PID control. This is a short introduction design to prepare you for the next few lectures where I will go through several examples of PID control....

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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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Dynamic Mode Decomposition (Code)

Steve Brunton
8 min
Intermediate
Video
Application

In this video, we code up the dynamic mode decomposition (DMD) in Matlab and use it to analyze the fluid flow past a circular cylinder at low Reynolds number.

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