
1001SMandMDeathAndImmigration
30 May 2015  Modeling Scenarios  Contributor(s): Brian Winkel
We describe a classroom activity in which students use M&M candies to simulate death and immigration. Students build a mathematical model, collect data, estimate parameters, and compare their model prediction with their actual data. There is a video of one run of the main simulation in this...

1012TSublimationCarbonDioxide
03 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel
We offer data on the sublimation of dry ice (carbon dioxide) with data collected in a classroom setting so that students can model the rate of change in the mass of a small solid carbon dioxide block with a differential equation model, solve the differential equation, estimate the parameters in...

1002TTossing
11 May 2015  Modeling Scenarios  Contributor(s): Brian Winkel
We offer students simulation experience or data from a simulation and ask them to model the simulation using several approaches, to include exponential decay fit, difference equation, and differential equation.We add a Hand Out Working Version which can be used in class authored by Rachel ...

1002STossing
11 May 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1003TCollegeSavings
12 May 2015  Modeling Scenarios  Contributor(s): Brian Winkel
We present a modeling opportunity for students in which they have to plan and model for saving for a child's complete college education.

1003SCollegeSavings
12 May 2015  Modeling Scenarios  Contributor(s): Brian Winkel

3020TChord PathTime
30 May 2015  Modeling Scenarios  Contributor(s): Brian Winkel
Using Newton's Second Law of motion students can determine the time it takes for a mass to slide along a chord of a vertical circle from high point to any point along the circle. They come to a nonintuitive conclusion through their analysis, but upon reflection the conclusion does make...

3020SChordPathTime
30 May 2015  Modeling Scenarios  Contributor(s): Brian Winkel

3013TWhiffleBallFall
30 May 2015  Modeling Scenarios  Contributor(s): Brian Winkel
We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models. Finally, we introduce a new way of comparing models, the Akaike Information Criterion, and apply it to our...

6010SSocialCampaigns
23 Sep 2018  Modeling Scenarios  Contributor(s): Hyunsun Lee
Mathematical epidemic models are crucial tools to understand, analyze, predict, and control infectious diseases. The SusceptibleInfectedRecovered (SIR) model is a basic compartment model, describing how an infectious disease propagates through a population. The problem is formulated as a...