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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...
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1-002-S-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 ...
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1-003-S-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.
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3-020-S-ChordPathTime
30 May 2015 | Modeling Scenarios | Contributor(s): Brian Winkel
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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 system...
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3-013-S-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 models.
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3-016-S-FallingCoffeeFilters
30 May 2015 | Modeling Scenarios | Contributor(s): Brian Winkel
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3-019-S-ShuttlecockFall
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...
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1-004-S-MicroorganismImmigration
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.
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1-005-S-OilSlick
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 ...