
SIMIODE EXPO 2021  MR2  The Language of Laplace Transforms in an Introduction to Control Theory
23 Feb 2021  Contributor(s):: Kurt Bryan
SIMIODE EXPO 2021  MR2  Kurt Bryan  The Language of Laplace Transforms in an Introduction to Control TheoryKurt Bryan, RoseHulman Institute of Technology, Terre Haute IN USAThis was a presentation made at the SIMIODE EXPO 2021  see program.Abstract: Control...

One Liner Laplace
28 Dec 2020  Contributor(s):: Brian Winkel
One liners, hey I got a million of 'em. Probably said by Henny Youngman, a famous 1950's TV Comedian!Another one is, "What's the use of happiness? It can't buy you money ."Henny Youngman Prepared by PROF Brian Winkel, Department of Mathematical...

Laplace One Liner
04 Jul 2020  Contributor(s):: Brian Winkel
We offer a short Mathematica file in which we demonstrate the step by step commands for solving a second order, linear, constant coefficient, ordinary differential equation using Laplace Transforms and then we condense the entire set of instructions into one line of code  hence the name one liner.

7011TextSCoupledSystemLaplace
31 Mar 2019   Contributor(s):: Mitaxi Mehta
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the differential equation formalism is difficult to find for coupled differential equations. Here we describe...

7040STankInterruptMixing
22 Aug 2018   Contributor(s):: Norman Loney
We present a differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

7020SThermometerInVaryingTempStream
22 Aug 2018   Contributor(s):: Norman Loney
We present a differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.

2009MallettFetbrandtDifferential Equations Class Notes
11 Sep 2017   Contributor(s):: Brian Winkel
Mallett, Travis and Josh Fetbrandt. Differential Equations Class Notes. Washington State University.From the Dear Reader opening page of these notes,“These notes were written by two students (Travis Mallett and Josh Fetbrandt) at Washington State University in Fall 2009 and are intended to...

2011ShibberuDEClassNotes
09 Sep 2017   Contributor(s):: Brian Winkel
Shibberu, Yosi. 2011. MA211 Differential Equations. Class Notes. PowerPoint. 426 slides. https://www.rosehulman.edu/~shibberu/MA211/Slides.pdf . Accessed 1 September 2017 This is a very good set of course slides and the Table of Contents is given here. Since this is a mathematics...

2015LutzerExpected Value Introduce Laplace Transform
09 Sep 2017   Contributor(s):: Brian Winkel
Lutzer, Carl V. 2015. Using Expected Value to Introduce the Laplace Transform. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 25(4): 339348.Abstract: We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the...

2017DomokosDifferential Equations Theory and Applications Notes
07 Sep 2017   Contributor(s):: Andras Domokos
Domokos , Andras. 2017. Differential Equations  Theory and Applications – Notes. 126 pp. California State University, Sacramento. http://www.csus.edu/indiv/d/domokos/diffeq.pdf . Accessed 6 September 2017.The author says in the Introduction,“Differential Equations is a...

Yogesh Manohar Muley
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7010SMultipleDoses
12 Oct 2016   Contributor(s):: Brian Winkel
Two possible multiple dose drug administration regimens are offered for modeling. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus injections and the other involves steady drip flow over short periods of time....

7006STextLaplaceTransformBirth
24 Feb 2016   Contributor(s):: Sania Qureshi
We present a way of introducing the Laplace Transform as the continuous analogue of a power series expression of a function.

2007MyersWinkelMystery Circuit Analysis
20 Jun 2015   Contributor(s):: Joseph Myers, Brian Winkel
Myers, Joseph and Brian Winkel. 2007. Mystery Circuit in Mathematics Class. The UMAP Journal. 28(1): 1525. Article Abstract: We discuss the introduction, student discovery, and teaching of a system of differential equations that model a circuit. In an engineering mathematics...

7005STextLaplaceTransformOverview
06 Jun 2015   Contributor(s):: Brian Winkel
The Laplace Transform is a mathematical construct that has proven very useful in both solving and understanding differential equations. We introduce it and show its power here. This is done in a Mathematica notebook with pdf provided.