
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...

2011HarwoodModeling a RLC Circuit
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;...

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 spring...

2008PadirEtAlTeaching 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.Diverse means different kinds of engineering majors. The interesting portion of this paper are the descriptions of student projects offered: Vibrations of a...

2016Pennel 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 problems...

HohenauerPhysical Modelling Based On First Order ODEs
09 Sep 2017   Contributor(s):: Brian Winkel
Hohenauer, W. Physical modelling based on first order differential equations (first order ODE´s). http://studylib.net/doc/18446218/physicalmodellingbasedonfirstorderdifferentialequa... Accessed 8 September 2017.From the introductionLots of every day occurrences are driven from...

2015UpretiSarkarLaplace 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. http://ijirt.org/master/publishedpaper/IJIRT101182_PAPER.pdf . Accessed 7 April 2017.Abstract: Laplace transform is applied in various areas of engineering and science....

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,...

HELMWorkbook19Differential_Equations
05 Sep 2017   Contributor(s):: Brian Winkel
HELM. Workbook 19: Differential Equations. 74 pp. From site http://helm.lboro.ac.uk/Over 50 workbooks are freely available for download a the site. This workbook Workbook 19: Differential equations is a nice mix of examples worked out concerning skills and models. The...

3075SRLCCircuit
17 May 2017   Contributor(s):: Brian Winkel
We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.

Jan 06 2017
Stay Tuned  Modeling in Differential Equations Courses
Joint Mathematics Meetings 2017 Teaching and Learning of Undergraduate Ordinary Differential Equations, I 10:20 AM Friday, 6 January 2017Marriott Marquis, A702 Atrium Level Stay Tuned Modeling in...
https://simiode.org/events/details/22

Stay Tuned  Modeling in Differential Equations Courses
29 Dec 2016   Contributor(s):: Brian Winkel
Joint Mathematics Meetings 2017 Teaching and Learning of Undergraduate Ordinary Differential Equations, I 10:20 AM Friday, 6 January 2017Marriott Marquis, A702 Atrium Level Stay Tuned Modeling in Differential Equations Courses Brian Winkel, PROF Emeritus, United...

4060SCircuitTuner
20 Sep 2016   Contributor(s):: Brian Winkel

2007GrahamLerchParameter Recovery for a Differential Equation Model
25 Jun 2015   Contributor(s):: Jeff Graham, Michael Lerch
Graham, J. and Michael Lerch. 2007. Parameter Recovery for a Differential Equation Model. PRIMUSProblems, Resources, and Issues in Mathematics Undergraduate Studies. 17(2): 148156.Article Abstract: This article presents a project for a differential equations class using an inverse problem...

4023SMysteryCircuit
03 Jun 2015   Contributor(s):: Brian Winkel