
1030SIntraocularGasBubbles
01 Jun 2015  Modeling Scenarios  Contributor(s):: Brian Winkel
SPANISH LANGUAGE VERSION We have placed in Supporting Docs both Student and Teacher Version (LaTeX and PDF Versions) with a Spanish LaTeX Class file, SIMIODESPANISH.cls. Names will be xySTitleStudentVersionSpanish and xyTTitleTeacherVersionSpanish

3008SHangTime
31 May 2015  Modeling Scenarios  Contributor(s):: Brian Winkel

1007SAntTunnelBuilding
31 May 2015  Modeling Scenarios  Contributor(s):: Brian Winkel
We pose the prospect of modeling just how long an ant takes to build a tunnel. With a bit of guidance students produce a model for the time it takes to build a tunnel of length x into the side of a damp sandy hill. SPANISH LANGUAGE VERSION We have placed in Supporting Docs both...

1006SFinancingSavingsAndLoans
31 May 2015  Modeling Scenarios  Contributor(s):: Brian Winkel
We describe two situations (Pa) one in which we are saving for a purpose and (2) one in which we are borrowing for a purpose. In the first case we ask for discrete and continuous model of the situation and in the second case we ask that the results of the model be used to examine some...

1005BSChemDataCollection
30 May 2015  Modeling Scenarios  Contributor(s):: Brian Winkel
We present a situation in which a chemistry graduate student is assigned the task of collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, he only collects the data at the start and end of a number of three minute intervals and does not keep track of...

1005ASChemDataCollection
30 May 2015  Modeling Scenarios  Contributor(s):: Brian Winkel
We present a situation in which a chemistry graduate student is assigned the task of collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, she only collects the data at the start and end of a number of ten minute intervals and does not keep track of when...

1005ASOilSlick
30 May 2015  Modeling Scenarios  Contributor(s):: Karen Bliss

1005SOilSlick
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 ...

1004SMicroorganismImmigration
30 May 2015  Modeling Scenarios  Contributor(s):: Brian Winkel
We present a modeling opportunity for population death with nonconstant immigration and suggest the use of both discrete and continuous models with a comparison of results.

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...

3019SShuttlecockFall
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...

3016SFallingCoffeeFilters
30 May 2015  Modeling Scenarios  Contributor(s):: Brian Winkel

3013SWhiffleBallFall
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.

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

1003SCollegeSavings
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.

1002STossing
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 ...