
1090SEmptySphericalTank
12 Nov 2016  Modeling Scenarios  Contributor(s): Brian Winkel

1091SSlopefields
04 Sep 2017  Modeling Scenarios  Contributor(s): Ben Dill, Holly Zullo
Students will gain experience writing differential equations to model various population scenarios, they will create slope fields to view the solution curves using software, and they will discuss the behavior of the solution curves. In this activity, students are introduced to the concepts of...

1092SDashItAll
01 Sep 2019  Modeling Scenarios  Contributor(s): Kurt Bryan
This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. The model is driven by data from the world record race of Usain Bolt in the 2008 Beijing Olympic games. In particular, we derive the classic HillKeller model for a...

1093SSucroseReaction
19 Jul 2016  Modeling Scenarios  Contributor(s): Brian Winkel

1094SSteepingTea
12 Sep 2017  Modeling Scenarios  Contributor(s): Eric Sullivan, Jesica Bauer, Erica Wiens
In this activity, we provide photographs of the steeping process for a fruit tea steeped in hot water. Students build a differential equation model for the steeping process and do parameter estimation using the color of our tea as a way to measure relative concentration of the tea oils in...

1095SRatingChessPlayers
17 Aug 2016  Modeling Scenarios  Contributor(s): Hope McIlwain

1101SClassM&MDeathAndImmigration
07 Nov 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1102SCancerGrowth
29 Jul 2018  Modeling Scenarios  Contributor(s): Jue Wang
This scenario guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and Gompertz. They examine the behaviors of the...

1105SAnimalFall
15 Apr 2018  Modeling Scenarios  Contributor(s): Brian Winkel
This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.

1107SClothDry
27 Apr 2019  Modeling Scenarios  Contributor(s): Brian Winkel
We build a mathematical model for the rate at which drying takes place in a cloth wet with water while hanging in air. A model can be based on underlying physical principles. Such a model is called an analytic model. Or your model could be based on observations and reasoned terms in your...

1108SPoissonProcess
27 Aug 2018  Modeling Scenarios  Contributor(s): Mehdi HakimHashemi
In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve problems in stochastic processes.

1109SEmployeeAttrition
25 Mar 2019  Modeling Scenarios  Contributor(s): Lyle Clifford Smith
This scenario models the loss of employees and the employer's attempt to retain them through stock options. This is intended for introductory students and is paired well with exponential growth/decay material. We also introduce the 5% rule to sort possible factors into assumptions and...

1110SSnailsInaTidePool
04 Oct 2016  Modeling Scenarios  Contributor(s): Lisa Driskell, Audrey Malagon

1111SSpreadOfInformation
02 Sep 2019  Modeling Scenarios  Contributor(s): Jeff Pettit
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model which can be compared to predicted data, measured data, and modeled data. Part 3 can require students to move from...

1114SEarthClimate
09 Dec 2019  Modeling Scenarios  Contributor(s): Terrance Pendleton
In this modeling scenario, we investigate the Earth's climate using a zerodimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth from solar radiation, emission of radiation to outer space, and Earth's...

1115SModelingWithFirstOrderODEs
04 Sep 2017  Modeling Scenarios  Contributor(s): Michael Grayling
Several models using first order differential equations are offered with some questions on formulating a differential equations model

1116STropicalStormWindspeeds
12 Jan 2020  Modeling Scenarios  Contributor(s): Terrance Pendleton
We model the decay of tropical cyclone winds once a storm makes landfall. We use data from two recent storms from the National Hurricane Center to estimate parameters emanating from a differential equation model.

1118SSolowEconomicGrowth
22 Aug 2018  Modeling Scenarios  Contributor(s): Yuri Yatsenko

1120SCircularRollerCoaster
27 Sep 2016  Modeling Scenarios  Contributor(s): Kevin S Huang

1122SSpreadPEV
28 Mar 2017  Modeling Scenarios  Contributor(s): Brian Winkel
We present data on world sales data of plugin electric vehicles (PEVs) and request a model on the rate of change in sales over time, leading to predection as to number of PEVs in the future.