
HussainDrainingHazardousLiquidsFromTank
03 Sep 2017
Hussain, Tariq. Undated. Draining Hazardous Liquids during Chemical Processing. Royal Academy of Engineers. http://www.raeng.org.uk/publications/other/13flowinatankfinal. 4 pp.This is part of a larger set of educational materials from the Royal Academy of Engineers, but few...

2010KijekKijekModeling Innovation Diffusion
02 Sep 2017
Kijek, A. and T. Kijek. 20110. Modelling of Innovation Diffusion. Operations Research and Decisions. 34:5368.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...

2012OgunrindeSundayModels 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): 288291.Abstract: This paper presents some models based on second order differential equations. Such models include...

2017StanModellingInBiology
02 Sep 2017  Potential Scenario Ideas
2017. Stan, GuyBart. 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...

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, drag...

2002ChaiOptima 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): 363364.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...

1043SCoolingUpAndDown
26 Aug 2017  Modeling Scenarios
We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.

1057SFiguringFluidFlow
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.

Examples and Experiences in Teaching a ModelingBased 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...

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...

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): 2627.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...

1042SKoolAid
26 Apr 2017  Modeling Scenarios
Singlecompartment 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...

1014SDrainingContainers
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?''

Bringing the Differential Course into the TwentyFirst 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...

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...

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/237notes.pdf . Accessed 18 June 2019.Andrew D. Lewis, andrew@mast.queensu.ca, is a...

2015RyuEngineering 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...

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): 386392.Article Abstract: This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of firstorder...

1037SCommonColdSpread
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...

1052SSaltWaterTanks
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.