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Step and Delta Functions: Integrals and Generalized Derivatives

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Session Overview

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This session looks closely at discontinuous functions and introduces the notion of an impulse or delta function. The goal is to use these functions as the input to differential equations. Step functions and delta functions are not differentiable in the usual sense, but they do have what we will call generalized derivatives, which are suitable for use in DE's.

Session Activities

Read the course notes:

Check Yourself

Take the quiz:

Session Activities

Read the course notes:

Check Yourself

Take the quizzes:

Session Activities

Watch the problem solving video:

Complete the practice problems:

Check Yourself

Complete the problem set:

(Please note: There is no Problem Set Part I for this session.)

 

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