
3076SCircuitBuilding
27 Jul 2021   Contributor(s):: Chiu Choi
In this project students will establish a mathematical model for an electric circuit as a secondorder ordinary differential equation with constant coefficients. They will derive the initial conditions for this differential equation by using circuit laws. They will obtain its closedform solution...

1096SOpAmpDifferentiator
09 Aug 2020   Contributor(s):: Virgil Ganescu
In this validationoriented setup, the output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and the results are compared with the data acquired from analyzing the numerical...

3105SFrequencyResponse
22 Jul 2020   Contributor(s):: Brian Winkel
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

2016Perez, J F Sanchez, M Conesa1, and I Alhama  Solving ordinary differential equations by electrical analogy: a multidisciplinary teaching tool
04 Apr 2020   Contributor(s):: Brian Winkel
Perez, J F Sanchez, M Conesa1, and I Alhama. 2016. Solving ordinary differential equations by electrical analogy: a multidisciplinary teaching tool. European Journal of Physics. 37(6). See  https://ur.booksc.eu/book/61856179/9ade4c .Abstract: Ordinary...

2004Hsu, SzeBi  Mathematical Modelling In Biological Science. Class notes
02 Apr 2020   Contributor(s):: Brian Winkel
Hsu, SzeBi. 2014. Mathematical Modelling In Biological Science. Department of Mathematics,TsingHua University TAIWAN. Class Notes. 67 pages.Table of ContentsIntroduction 1 Continuous population model for single species 11.1 Logistic equation...

2012Bech, Michael Møller; Morten Lykkegaard Christensen; Lars Diekhöner; Christian Frier; Olav Geil; Erik Lund; Peter Nielsen; Thomas Garm Pedersen; Bo Rosbjerg  ResourcesForEngineeringApplicationsOfMath
01 Apr 2020   Contributor(s):: Brian Winkel
Bech, Michael Møller, Morten Lykkegaard Christensen, Lars Diekhöner, Christian Frier, Olav Geil,Erik Lund, Peter Nielsen, Thomas Garm Pedersen, Bo Rosbjerg. 2012. APPLICATIONS OF MATHEMATICSIN ENGINEERING AND SCIENCE. School of Engineering and Science, Aalborg University. 26...

2014Cimbala, John M.  Dynamic System Response. Notes.
29 Mar 2020   Contributor(s):: Brian Winkel
Cimbala, John M. 2014. Dynamic System Response. Notes. 11 pages.See https://www.me.psu.edu/cimbala/me345/Lectures/Dynamic_systems.pdf .IntroductionIn an ideal world, sensors respond instantly to changes in the parameter being measured.In the real world, however,...

2016Moura, Scott  Chapter 1: Modeling ad Systems Analysis. Class Notes for CE 295
20 Mar 2020   Contributor(s):: Brian Winkel
Moura, Scott. 2016. Chapter 1: Modeling ad Systems Analysis. Class Notes for CE 295 — Energy Systems and Control, University of California, Berkeley. 20 pp.Overview: The fundamental step in performing systems analysis and control design in energy systems is mathematical...

2012Moore, Hassan  Using projects to stimulate learning in mathematics and engineering mathematics courses.
13 Mar 2020   Contributor(s):: Brian Winkel
Moore, Hassan. 2012. Using projects to stimulate learning in mathematics and engineering mathematics courses. American Society of Engineering Education. 120th ASEE Annual Conference and Exposition. Paper ID #7658.See...

3071SWirelessTelegraphy
20 Dec 2019   Contributor(s):: Gabriel Nagy
This project has three parts, the first part to be done at home, the last two parts in class. In the home part we recall how to solve second order, linear, differential equations with constant coefficients and simple source functions. In the first inclass part we analyze the solutions found at...

3067SRLCSeriesCircuit
28 Apr 2019   Contributor(s):: Virgil Ganescu
In this validationoriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical model (using Multisim).

1077SRLMSimSeriesCircuit
03 Mar 2019   Contributor(s):: Virgil Ganescu
In this validationoriented setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using Multisim) of the circuit. This is compared to...

2011Harwood, Kenny  Modeling a RLC Circuit's Current with Differential Equations
12 Sep 2017   Contributor(s):: Brian Winkel
Harwood, Kenny. 2011. Modeling a RLC Circuit’s Current with Differential Equations. Paper. 17 pp.Abstract The world of electricity and light have only within the past century been explained in mathematical terms yet still remain a mystery to the human race. R. Buckminster Fuller said;...

2017University of Michigan  Math 216 Demonstrations
12 Sep 2017   Contributor(s):: Brian Winkel
Math 216 Demonstrations. https://instruct.math.lsa.umich.edu/lecturedemos/ma216/docs/ . Accessed 11 September 2017.This site contains many, many applications with good presentation and analysis as well as Matlab files to illustrate the concepts. For example modeling a swinging door with...

2008Padir, Taskin, Kimberly Muller, Collett Coullard  Teaching Differential Equations in a Diverse Classroom.
10 Sep 2017   Contributor(s):: Brian Winkel
Padir, Taskin, Kimberly Muller, Collett Coullard. 2008. Teaching Differential Equations in a Diverse Classroom. ASEE Conference. 13 pp.See https://peer.asee.org/teachingdifferentialequationsinadiverseclassroom.pdf .Diverse means different kinds of engineering majors. The...

2016Pennell Avitabile White Engineering Applications Differential Equations
10 Sep 2017   Contributor(s):: Brian Winkel
Pennell, Steve, Peter Avitabile, and John White. 2006.Physical Problem for Industrial Engineering  Ordinary Differential EquationsGeneral discussion of an engineering based differential equations course with examples from RC Circuit, mass spring dashpot. There is an Appendix of...

2011Shibberu, Yosi  MA211 Differential Equations. Class Notes
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 2017This is a very good set of course slides and the Table of Contents is given here. Since this is a mathematics...

2015Upreti, Sandhya and Ms. Piyali Sarkar  Laplace Transforms and its Applications.
08 Sep 2017   Contributor(s):: Brian Winkel
Upreti, Sandhya and Ms. Piyali Sarkar. 2015. Laplace Transforms and its Applications. IJIRT. 1(6): 19431945.Abstract: Laplace transform is applied in various areas of engineering and science. It is considered as a powerful tool. Laplace transform makes it easier to solve...

2017Gustafson, G. B.  Differential Equations Course Materials
08 Sep 2017   Contributor(s):: Brian Winkel
This material is from a wealth of other material authored by Grant B. Gustafson in the Mathematics Department at the University of Utah. See http://www.math.utah.edu/~gustafso/ for up to date information on his productivity! One could spend hours looking through here for examples,...

1999KowalczykHausknechtUsing DEs To Model Real World Data
08 Sep 2017   Contributor(s):: Brian Winkel
Kowalczyk, Robert E. and Adam O. Hausknecht. 1999. Using Differential Equations to Model RealWorld Data. Proceedings of the Tenth Annual International Conference on Technology in Collegiate Mathematics. Reading MA: AddisonWesley Publishing Co. pp. 246250Opening of article,...