Resources: Modeling Scenarios

The Modeling Scenarios are organized to roughly follow the topics found in a traditional differential equations course. Hence, the numbering system reflects chapter sequencing in a standard differential equations text.

You may wish to visit our Starter Kit to see some groupings of Modeling Scenarios which have proven to be successful.

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  1. 1-001-S-MandMDeathAndImmigration

    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...

  2. 1-012-T-SublimationCarbonDioxide

    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...

  3. 1-002-T-Tossing

    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 ...

  4. 1-002-S-Tossing

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

  5. 1-003-T-CollegeSavings

    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.

  6. 1-003-S-CollegeSavings

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

  7. 3-020-T-Chord 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...

  8. 3-020-S-ChordPathTime

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

  9. 3-013-T-WhiffleBallFall

    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...

  10. 6-010-S-SocialCampaigns

    23 Sep 2018 | Modeling Scenarios | Contributor(s): Hyunsun Lee

    Mathematical epidemic models are crucial tools to understand, analyze, predict, and control infectious diseases. The Susceptible-Infected-Recovered (SIR) model is a basic compartment model, describing how an infectious disease propagates through a population. The problem is formulated as a...