Unit II: Second Order Constant Coefficient Linear Equations

Gain and Phase Lag

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Session Overview

The purpose of this session is to introduce the operator notation p(D). This will simplify the writing of differential equations and point the way to a more complete discussion of operators and their uses in a few sessions.

We will start with the important notion of stability which tells us that the system will respond in essentially the same way to a given input regardless of the initial conditions.

After that, we will learn to express the formulas for exponential response, sinusoidal response, gain and phase lag in the p(D) notation. We will make heavy use of these formulas in the coming sessions.

Session Activities

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Check Yourself

Take the quizzes:

Session Activities

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Complete the practice problems:

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Course Info

Learning Resource Types

theaters Lecture Videos
theaters Recitation Videos
grading Exams with Solutions
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notes Lecture Notes
assignment_turned_in Problem Sets with Solutions