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  1. Hussain-DrainingHazardousLiquidsFromTank

    03 Sep 2017

    Hussain, Tariq. Undated. Draining Hazardous Liquids during Chemical Processing.  Royal Academy of Engineers. http://www.raeng.org.uk/publications/other/13-flow-in-a-tank-final. 4 pp.This is part of a larger set of educational materials from the Royal Academy of Engineers, but few...

  2. 2010-KijekKijek-Modeling Innovation Diffusion

    02 Sep 2017

    Kijek, A. and T. Kijek. 20110. Modelling of Innovation Diffusion. Operations Research and Decisions. 3-4:53-68.Abstract: Since the publication of the Bass model in 1969, research on the modelling of the diffusion of innovation resulted in a vast body of scientific literature consisting of...

  3. 2012-OgunrindeSunday-Models Based On Second Order ODE

    02 Sep 2017 | Potential Scenario Ideas

    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...

  4. 2017-Stan-ModellingInBiology

    02 Sep 2017 | Potential Scenario Ideas

    2017. Stan, Guy-Bart. Modelling in Biology. Class Notes. Imperial College of London. 71 pp. Keywords: differential equation, model, stability, equilibrium, bifurcation, mass action, spring mass, limit cycles. This is a very rich set of notes, rich in examples and ideas for modeling. In almost all...

  5. 2009-Howard-ModelingWithODE

    02 Sep 2017 | Potential Scenario Ideas

    2009. Howard, Peter. Modeling With ODE. Class Notes. Texas A&M University. 26 pp. http://www.math.tamu.edu/~phoward/m442/modode.pdf Keywords: differential equation, model, reaction, chemistry, carbon dating, rates, mechanics, competition, epidemic, population, pendulum, planetary motion, drag...

  6. 2002-Chai-Optima lInitial Angle To Fire Projectile

    02 Sep 2017 | Potential Scenario Ideas

    Review and AnnotationChai, William. 2002. Optimal initial angle to fire a projectile. Pi Mu Epsilon Journal. 12(7): 363-364.This article addresses the following problem:“Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is...

  7. 1-043-S-CoolingUpAndDown

    26 Aug 2017 | Modeling Scenarios

    We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.

  8. 1-057-S-FiguringFluidFlow

    15 Aug 2017 | Modeling Scenarios

    We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which model is the best of the three.

  9. Examples and Experiences in Teaching a Modeling-Based Differential Equations Course MathFest 2017

    23 Jul 2017 | Presentations

    This is the set of materials offered at a Workshop given at the MAA MathFest 2017, Chicago IL,  28 July 2017, Friday, 1:00 – 2:20 p.m., Mobley Room, Chicago Hilton.The session was organized and presented by Rosemary Farley, Manhattan College; Therese Shelton, Southwestern...

  10. A Particular Solutions Formula For Inhomogeneous Arbitrary Order Linear Ordinary Differential Equations

    24 May 2017 | Articles and Publications

    A particular solution for any nonhomogeneous linear second, third, and fourth order ordinary differential equation is generally determined. Applying what was determined thus; and following by example a particular solution formula for arbitrary order is obtained. Finding a particular solutions to...

  11. Let's Do It: Using Modeling in the Classroom

    14 May 2017 | Articles and Publications

     Winkel, B. J. 2017. Let's Do It: Using Modeling in the Classroom. MAA FOCUS.  37(2): 26-27.In this article the author, Brian Winkel, Director of SIMIODE, attempts to make the case for modeling in the differential equations classroom by giving both rationale and examples.The entire...

  12. 1-042-S-Kool-Aid

    26 Apr 2017 | Modeling Scenarios

    Single-compartment mixing is an important foundational component of any study of ordinary differential equations. Typically, problems utilize salt as the solute. In this modeling scenario, use of colored drink powder as the solute enables students to observe a color change as the mixing...

  13. 1-014-S-DrainingContainers

    17 Mar 2017 | Modeling Scenarios

    We examine the question, ``Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the cylinder, which empties faster?''

  14. Bringing the Differential Course into the Twenty-First Century With a Computer Algebra System and a Modeling First Approach

    08 Mar 2017 | Presentations

    This talk was presented at the AMS Special Session  on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.This presentation will explain how we used a computer algebra system together with a modeling first approach...

  15. Creating and Using Videos in Support of Modeling in Differential Equations Course Work

    08 Mar 2017 | Presentations

    This talk was presented at the AMS Special Session  on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.This presentation discusses and gives rich examples of resources and software for video production to use in...

  16. Lewis, Andrew D. 2017. Introduction to Differential Equations for Smart Kids

    05 Mar 2017 | Free Online Texts

    Author: Lewis, Andrew D.Date of Publication:  23 January 2017Title: Introduction to Differential Equations for Smart KidsLLLocation:  https://mast.queensu.ca/~andrew/teaching/pdf/237-notes.pdf . Accessed 18 June 2019.Andrew D. Lewis, andrew@mast.queensu.ca, is a...

  17. 2015-Ryu-Engineering Mathematics - Differential Equations

    03 Mar 2017 | Potential Scenario Ideas

    Ryu, Jaeku. 2015.  ShareTechNote. Engineering Math – Differential Equations. http://www.sharetechnote.com/html/EngMath_DifferentialEquation.html . Accessed on 31 May 2015. This is a remarkable set of rich resources for engineering education and we note the strong conviction of the...

  18. Differential equations and the AIDS epidemic: a lecture for Calculus II Students

    01 Mar 2017 | Articles and Publications

    Kenney, Emelie A. 1992. Differential equations and the AIDS epidemic: a lecture for Calculus II Students. PRIMUS. 2(4): 386-392.Article Abstract: This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of first-order...

  19. 1-037-S-CommonColdSpread

    30 Nov 2016 | Modeling Scenarios

    This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example. In groups, students run repeated simulations, collect data, derive a differential...

  20. 1-052-S-SaltWaterTanks

    27 Nov 2016 | Modeling Scenarios

    We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.

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