
1065SAlgal Blooms
26 Jul 2016  Modeling Scenarios  Contributor(s): Richard Corban Harwood

1066SUSCensusModeling
15 Sep 2017  Modeling Scenarios  Contributor(s): Jean Marie Linhart
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled.

1067SModelingWithSigmoidCurves
18 Aug 2018  Modeling Scenarios  Contributor(s): Natali Hritonenko
The assignment considers two wellknown models of population growth, VerhulstPearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or Sshape. The assignment contains two opposite, but related tasks:...

1068SWaterBottleCooling
14 Aug 2019  Modeling Scenarios  Contributor(s): Eli E Goldwyn
The scenario uses an Inquiry Based Learning approach to walk the students through the creation and understanding of a differential equation describing how fluid in a water bottle will change its temperature to approach the ambient temperature in a room. The goal is for the students to understand...

1070SFisheryHarvest
08 Dec 2015  Modeling Scenarios  Contributor(s): Wandi Ding

1071SNewtonWatsonTimeOfDeath
28 Aug 2017  Modeling Scenarios  Contributor(s): Brian Winkel
Sherlock Holmes determines the time of death for a body found on a street in London and we need to reproduce his astute analysis.

1073SWaterExitBottle
17 Apr 2017  Modeling Scenarios  Contributor(s): Brian Winkel
We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow out of a cylindrical container.

1074SBottleWaterFlow
17 Apr 2017  Modeling Scenarios  Contributor(s): Brian Winkel
We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow from a container.

1076SClimateBifurcation
08 Aug 2019  Modeling Scenarios  Contributor(s): Mayer Humi
In this paper we present (for educational purposes) simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations from the present Earth climate to an ice age or a ``Venus type of climate.'' The models are accompanied by Matlab.

1077SRLMSimSeriesCircuit
03 Mar 2019  Modeling Scenarios  Contributor(s): Virgil Ganescu
In this validationoriented setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using Multisim) of the circuit. This is compared to...

1079SHomeHeating
30 Jan 2018  Modeling Scenarios  Contributor(s): Kurt Bryan
This project concerns the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return? Both scenarios are analyzed in a series of exercises.

1080SDrug Administration
16 Feb 2016  Modeling Scenarios  Contributor(s): Brian Winkel

1081STumorGrowth
09 Jun 2018  Modeling Scenarios  Contributor(s): Ryan Miller, Randy Boucher
Students will transform, solve, and interpret a tumor growth scenario using nonlinear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth. Students use technology to solve the Gompertz model and answer a series of questions...

1082SMirrorMirror
21 Aug 2019  Modeling Scenarios  Contributor(s): Kurt Bryan
This project models the ``Foucault Knife Edge Test,'' an optical test commonly used by amateur astronomers who make their own mirrors for reflecting telescopes. The goal of the test is to estimate the shape of the surface of a mirror from optical reflection data. The model results in a...

1083SFallingMeteorites
24 Aug 2019  Modeling Scenarios  Contributor(s): Lyle Clifford Smith
After introducing the solution to the ordinary differential equation which models a falling object with drag (firstorder, nonlinear, separable), students will consider generalizing the model to a falling and disintegrating meteorite. The focus is on creative identification of factors. Students...

1084SGoingViral
31 Aug 2019  Modeling Scenarios  Contributor(s): Bill Skerbitz
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation. Finally, students solve the...

1085SDrugBolus
03 Jul 2016  Modeling Scenarios  Contributor(s): Brian Winkel

1086SMedicinalPill
31 Aug 2017  Modeling Scenarios  Contributor(s): Brian Winkel
Administration of a medicinal pill in single and multiple doses is modeled.

1087SThanosPopulationDynamics
07 Oct 2019  Modeling Scenarios  Contributor(s): Sarah Elizabeth Ritchey Patterson, Blain Patterson
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

1089SSpreadOfDisease
15 Aug 2018  Modeling Scenarios  Contributor(s): Shinemin Lin
In this project we use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel.