
1998ClausMcGahanModeling Projects In DE Course
05 Sep 2017
ClausMcGahan, Elly. 1998. Modeling Projets in a Differential Equations Course. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 8(2): 137149Abstract: Much has been said about the benefits of using projects in teaching the calculus sequence. Here we dis cuss...

1115SModelingWithFirstOrderODEs
04 Sep 2017  Modeling Scenarios
Several models using first order differential equations are offered with some questions on formulating a differential equations model

1115TModelingWithFirstOrderODEs
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.

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): 891896.The pdf of the article may be downloaded freely from ...

1975GriffelFormationSolutionDEModels
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): 467473This paper raises many interesting questions about teaching the formation (and solution) of differential...

HussainDrainingHazardousLiquidsFromTank
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/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  Potential Scenario Ideas
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...

5030TAirshedSulphur
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 longterm levels of pollutants and present additional issues.

2017Stan ModellingInBiology
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,...

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...

1086TMedicinalPill
31 Aug 2017  Modeling Scenarios
Administration of a medicinal pill in single and multiple doses is modeled.

1071TNewtonWatsonTimeOfDeathTeacherVersion
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.

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

1057TFiguringFluidFlow
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.

1064TTorricelliBox
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.

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...

3075TRLCCircuit
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.