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  1. 1998Claus-McGahan-Modeling Projects In DE Course

    05 Sep 2017

    Claus-McGahan, Elly. 1998. Modeling Projets in a Differential Equations Course.  PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 8(2): 137-149Abstract: Much has been said about the benefits of using projects in teaching the calculus sequence. Here we dis cuss...

  2. 1-115-S-ModelingWithFirstOrderODEs

    04 Sep 2017 | Modeling Scenarios

    Several models using first order differential equations are offered with some questions on formulating a differential equations model

  3. 1-115-T-ModelingWithFirstOrderODEs

    04 Sep 2017 | Modeling Scenarios

    Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.

  4. 2009RobazzaEtAlMilkMicrobeModeling

    04 Sep 2017 | Potential Scenario Ideas

    Teleken, Jhony Tiago, Weber da Silva Robazzam,  and  Gilmar de Almeida Gomes. 2011.  Mathematical modeling of microbial growth in milk. Ciênc. Tecnol. Aliment., Campinas. 31(4): 891-896.The pdf of the article may be downloaded freely from ...

  5. 1975-Griffel-FormationSolutionDEModels

    03 Sep 2017 | Potential Scenario Ideas

    Griffel, D. H.  1975.  Teaching the formation and solution of differential equations. International Journal of Mathematical Education in Science and Technology. 6(4): 467-473This paper raises many interesting questions about teaching the formation (and solution) of differential...

  6. Hussain-DrainingHazardousLiquidsFromTank

    03 Sep 2017 | Potential Scenario Ideas

    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...

  7. 2010-KijekKijek-Modeling Innovation Diffusion

    02 Sep 2017 | Potential Scenario Ideas

    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...

  8. 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...

  9. 5-030-T-AirshedSulphur

    02 Sep 2017 | Modeling Scenarios

    Temperature inversions and low wind speeds can trap air pollutants in a mountain valley for an extended period of time. Gaseous sulfur compounds are often a significant air pollution problem. We offer a model for analysis to predict long-term levels of pollutants and present additional issues.

  10. 2017Stan 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...

  11. 2009HowardModelingWithODE

    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,...

  12. 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...

  13. 1-086-T-MedicinalPill

    31 Aug 2017 | Modeling Scenarios

    Administration of a medicinal pill in single and multiple doses is modeled.

  14. 1-071-T-NewtonWatsonTimeOfDeath-TeacherVersion

    28 Aug 2017 | Modeling Scenarios

    Sherlock Holmes determines the time of death for a body found on a street in London and we need to reproduce his astute analysis.

  15. 1-043-T-CoolingUpAndDown

    26 Aug 2017 | Modeling Scenarios

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

  16. 1-057-T-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.

  17. 1-064-T-TorricelliBox

    14 Aug 2017 | Modeling Scenarios

    The time it takes a column of water to empty and the time it takes the same volume of column of water with a box (various sizes) submerged in the column of water are compared through modeling with Torricelli's Law.

  18. 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...

  19. 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...

  20. 3-075-T-RLCCircuit

    17 May 2017 | Modeling Scenarios

    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. We build a differential equation using Kirchhoff's Law and solve and interpret our solutions.