18.03SC | Fall 2011 | Undergraduate

Differential Equations

Unit III: Fourier Series and Laplace Transform

Poles, Amplitude Response, Connection to ERF

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Session Overview

Poles summarize the stability of a system, the rate it returns to equilibrium after its been disturbed, and the gain of the system in response to sinusoidal input. In this session we will define the poles of a system, learn their properties and how to use pole diagrams to represent them visually.

Session Activities

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Learn from the Mathlet materials:

Watch the problem solving video:

Check Yourself

Complete the problem sets:

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Course Info

Learning Resource Types
Lecture Videos
Recitation Videos
Exams with Solutions
Simulations
Lecture Notes
Problem Sets with Solutions