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2015-Carl_Lutzer-Using Expected Value to Introduce the Laplace Transform

Author(s): Carl Lutzer

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Keywords: Expected Value Riemann sum net change

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Abstract

Resource Image We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the expected net change in a function, assuming that it quantifies a process that can terminate at random.

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Lutzer, Carl V.  2015. Using Expected Value to Introduce the Laplace Transform. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 25(4): 339-348.

See https://www.tandfonline.com/doi/abs/10.1080/10511970.2014.977474 . Accessed 29 March 2023.

Abstract: We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the expected net change in a function, assuming that it quantifies a process that can terminate at random. We assume only a basic understanding of probability.

Excellent background ideas for introducing and using the Laplace transform

Keywords: differential equations, expected value, Riemann sum, net change, Laplace transform

 

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Author(s): Carl Lutzer

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