Tags: second order

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  1. 3-150-S-ItsABlastFurnace

    13 Aug 2019 | | Contributor(s):: Kurt Bryan

    This project uses the steady-state 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 steady-state, so that only an elementary ordinary differential equation (ODE) is needed, and...

  2. 5-005-Text-S-StiffDifferentialEquations

    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...

  3. 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, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego...

  4. 2015-Endale-ApplicationsOfODEsToRealWorldSystems

    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...

  5. 2011-Harwood-Modeling 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;...

  6. 2009-MallettFetbrandt-Differential 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...

  7. 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...

  8. 2015-PendrillEager-Trampoline Jumping Model

    09 Sep 2017 | | Contributor(s):: Brian Winkel

    Pendrill. Ann-Marie and David Eager. 2015. Free fall and harmonic oscillations: analyzing trampoline jumps. Physics Education. 50(1): 1-9.http://iopscience.iop.org/article/10.1088/0031-9120/50/1/64/meta . Accessed 5 September 2017. (This is an author-created, un-copyedited version of an...

  9. 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,...

  10. 2017-Domokos-Differential 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...

  11. 2012-OgunrindeSunday-Models 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): 288-291.Abstract:  This paper presents some models based on second order differential equations. Such models include...

  12. 3-040-T-FirstPassageTime

    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.

  13. 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...

  14. 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): 158-169.Abstract:  We examine two differential equations, (1) first order exponential growth or decay and (2) second...

  15. 3-030-S-SecondOrderIntro

    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, SIMIODE-SPANISH.cls. Names will be x-y-S-Title-StudentVersion-Spanish and x-y--T-Title-TeacherVersion-Spanish.

  16. 3-060-S-DataToDifferentialEquation

    24 Dec 2015 | | Contributor(s):: Eric Sullivan, Kelly Cline

    Students use their knowledge of second-order linear differential equations in conjunction with physical intuition of spring-mass 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...

  17. 1997-BarnesGraham-Using 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. PRIMUS-Problems, Resources, and Issues in Mathematics Undergraduate Studies.  7(4): 334-340.Acknowleging that applied mathematics courses rarely offer any hand-on...

  18. 2007GrahamLerch-Parameter 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. PRIMUS-Problems, Resources, and Issues in Mathematics Undergraduate Studies. 17(2): 148-156.Article Abstract: This article presents a project for a differential equations class using an inverse problem...

  19. Notes-Qualitative 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://www-binf.bio.uu.nl/panfilov/bioinformatica/bioinf10.pdf . Accessed 22 June 2015.This is a set of notes with derivations, motivating illustrations, exercises, and some...

  20. 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): 288-291.Article Abstract:  This paper presents some models based on second order differential equations. Such models include...