
3150SItsABlastFurnace
13 Aug 2019   Contributor(s):: Kurt Bryan
This project uses the steadystate heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.The heat flow is assumed to be steadystate, so that only an elementary ordinary differential equation (ODE) is needed, and...

5005TextSStiffDifferentialEquations
05 Mar 2019   Contributor(s):: Kurt Bryan
This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples.Stiffness is a property that a system of ODE's may possess that make it difficult to solve numerically with standard methods, and it is a...

Farley and Tiffany  Time to Change our Traditional Differential Equations
19 Jan 2018   Contributor(s):: Patrice Geary Tiffany, Rosemary Carroll Farley
Time to Change our Traditional Differential Equations By Rosemary Farley and Patrice Tiffany, Manhattan College.A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego...

2015EndaleApplicationsOfODEsToRealWorldSystems
26 Nov 2017   Contributor(s):: Brian Winkel
2015. Endale, Mersha Amdie. Some application of first order differential equations to real world system. Masters Thesis. Haramaya University.We quote from the opening by the author,“The subject of differential equations is important part of mathematics for understanding the physical...

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;...

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...

Transient and Steady State response in RC or RL circuits
11 Sep 2017   Contributor(s):: Brian Winkel
Transient and Steady State response in RC or RL circuits . PowerPoint Slides. 54 Slides,This is a presentation to help understand the concepts of Transient and Steady State response in RC or RL circuits . There is detailed technical material and graphs to richly illustrate the clear...

2015PendrillEagerTrampoline Jumping Model
09 Sep 2017   Contributor(s):: Brian Winkel
Pendrill. AnnMarie and David Eager. 2015. Free fall and harmonic oscillations: analyzing trampoline jumps. Physics Education. 50(1): 19.http://iopscience.iop.org/article/10.1088/00319120/50/1/64/meta . Accessed 5 September 2017. (This is an authorcreated, uncopyedited version of an...

BobbingObjectInWater
09 Sep 2017   Contributor(s):: Brian Winkel
Introduction to Second Order Linear Equations Bobbing Object in Water. 2 pp.This is a nice treatment of developing a model of a bobbing object in water from first principles with some nice additional questions which would make a nice Modeling Scenario.Keywords: buoyancy, bobbing, water,...

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...

2012OgunrindeSundayModels Based On Second Order ODE
02 Sep 2017   Contributor(s):: Brian Winkel
Ogunrinde, R. B. and J. Sunday. 2012. On some models based on second order differential equation. American Journal of Scientific and Industrial Research. 3(5): 288291.Abstract: This paper presents some models based on second order differential equations. Such models include...

3040TFirstPassageTime
07 Apr 2017   Contributor(s):: Brian Winkel
We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time with several applications.

Informed Conjecturing in a Modeling Context Differential Equations
29 Mar 2017   Contributor(s):: Brian Winkel
We examine two differential equations, (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their solution. We follow with...

Informed Conjecturing in a Modeling Context Differential Equations
18 Sep 2016   Contributor(s):: Brian Winkel
This is the preprint version of the published article: Winkel, B. J. 2015. Informed Conjecturing of Solutions for Differential Equations in a Modeling Context. PRIMUS. 25(2): 158169.Abstract: We examine two differential equations, (1) first order exponential growth or decay and (2) second...

3030SSecondOrderIntro
22 Apr 2016   Contributor(s):: Brian Winkel
SPANISH LANGUAGE VERSION We have placed in Supporting Docs both Student and Teacher Version (LaTeX and PDF Versions) with a Spanish LaTeX Class file, SIMIODESPANISH.cls. Names will be xySTitleStudentVersionSpanish and xyTTitleTeacherVersionSpanish.

3060SDataToDifferentialEquation
24 Dec 2015   Contributor(s):: Eric Sullivan, Kelly Cline
Students use their knowledge of secondorder linear differential equations in conjunction with physical intuition of springmass systems to estimate the damping coefficient and spring constant from data. The data is presented as {%5Cit total distance traveled} instead of displacement so the...

1997BarnesGrahamUsing RLC Circuits  Lab Experience for Students of Differential Equations
26 Jun 2015   Contributor(s):: Julia Barnes, Jeff Graham
Graham, Jeff and Julia Barnes. 1997. A Laboratory Experience for Students of Differential Equations Using RLC Circuits. PRIMUSProblems, Resources, and Issues in Mathematics Undergraduate Studies. 7(4): 334340.Acknowleging that applied mathematics courses rarely offer any handon...

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...

NotesQualitative Analysis of Differential Equations
22 Jun 2015   Contributor(s):: Alexander Panfilov
Panfilov, Alexander. 2010. Qualitative Analysis of Differential Equations. 2010. Theoretical Biology, Utrecht University. http://wwwbinf.bio.uu.nl/panfilov/bioinformatica/bioinf10.pdf . Accessed 22 June 2015.This is a set of notes with derivations, motivating illustrations, exercises, and some...

On some models based on second order differential equations
22 Jun 2015   Contributor(s):: R. B. Ogunrinde, J. Sunday
Ogunrinde, R. B. and J. Sunday. 2012 On some models based on second order differential equations. American Journal of Scientific and Industrial Research. 3(5): 288291.Article Abstract: This paper presents some models based on second order differential equations. Such models include...