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Modeling Scenarios feed

  1. 1-030-S-IntraocularGasBubbles

    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, SIMIODE-SPANISH.cls. Names will be x-y-S-Title-StudentVersion-Spanish and x-y--T-Title-TeacherVersion-Spanish

  2. 3-008-S-HangTime

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

  3. 1-007-S-AntTunnelBuilding

    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...

  4. 1-006-S-FinancingSavingsAndLoans

    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...

  5. 1-005B-S-ChemDataCollection

    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...

  6. 1-005A-S-ChemDataCollection

    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...

  7. 1-005A-S-OilSlick

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

  8. 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 ...

  9. 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.

  10. 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...

  11. 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...

  12. 3-016-S-FallingCoffeeFilters

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

  13. 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.

  14. 3-020-S-ChordPathTime

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

  15. 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.

  16. 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 ...