Transforms of Discontinuous and Periodic Functions

Transforms of Discontinuous and Periodic FunctionsExpected Educational ResultsTransforms of Discontinuous and Periodic FunctionsUnit Step FunctionDefinition: Unit Step FunctionGraphs of the Unit Step FunctionInvestigation 01Investigation 02Laplace Transform of the Unit Step FunctionInvestigation 03Investigation 04CC BY-NC-SA 4.0

Author: John J Weber III, PhD Corresponding Textbook Sections:

Expected Educational Results

Transforms of Discontinuous and Periodic Functions

Unit Step Function

Definition: Unit Step Function

The unit step function (a.k.a. Heaviside step function) is defined by

Graphs of the Unit Step Function

Investigation 01

Sketch the following step functions.

Investigation 02

Sketch the following functions. Explain.

  1. $

Laplace Transform of the Unit Step Function

Investigation 03

Evaluate the following Laplace transforms.

  1. Find
  2. Find

Investigation 04

Evaluate the following Laplace transforms.

CC BY-NC-SA 4.0

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Last Modified: Sunday, 8 November 2020 22:02 EDT