## 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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### Top Rated

1. 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...

2. 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 ...

3. 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.

4. 30 May 2015 | Modeling Scenarios | Contributor(s): Brian Winkel

5. 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 system...

6. 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 models.

7. 30 May 2015 | Modeling Scenarios | Contributor(s): Brian Winkel

8. 30 May 2015 | Modeling Scenarios | Contributor(s): Brian Winkel

We are given data on the time and position of a shuttlecock as it falls to the ground from a set height. We attempt to model the falling object and we confront the different resistance terms and models. Finally, we introduce a new way of comparing models, the Akaike Information Criterion, and...

9. 30 May 2015 | Modeling Scenarios | Contributor(s): Brian Winkel

We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.

10. 30 May 2015 | Modeling Scenarios | Contributor(s): Brian Winkel

We describe a modeling activity for students in  which modeling with difference and differential equations is appropriate. We have used this model in our coursework for years and have found that it enlightens students as to the model building process and parameter estimation for a ...