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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...

  2. 1-001-S-Text-SeparationOfVariables

    30 May 2015 | Technique Narratives | Contributor(s): Brian Winkel

  3. 1-001A-S-MandMDeathImmigration

    27 Jun 2016 | Modeling Scenarios | Contributor(s): Karen Bliss

  4. 1-001B-S-MAndM-DeathImmigrationMystery

    27 Jun 2016 | Modeling Scenarios | Contributor(s): Brian Winkel

  5. 1-001c-S-PopulationDecayThenSome

    18 Jun 2019 | Modeling Scenarios | Contributor(s): Dina Yagodich

    This is an adaption of Modeling Scenario 1-001-S-MandMDeathAndImmigration  in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.

  6. 1-001d-S-HotelPopulationDecay

    03 Jul 2019 | Modeling Scenarios | Contributor(s): Dina Yagodich

    We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

  7. 1-001pgf-S-BirthDeathImmigration

    09 Feb 2016 | Modeling Scenarios | Contributor(s): Chris McCarthy

  8. 1-002-S-Text-IntegratingFactor

    30 May 2015 | Technique Narratives | Contributor(s): Brian Winkel

  9. 1-002-S-Tossing

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

  10. 1-003-S-CollegeSavings

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

  11. 1-003-S-Text-IntroNumericalMethods

    10 Jan 2019 | Technique Narratives | Contributor(s): Brian Winkel

    We ask students to develop two numerical methods for solving first order differential equations  geometrically and to compute numeric solutions and compare them to the analytic solutions for a number of different step sizes. 

  12. 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.

  13. 1-005-S-OilSlick

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

    We attempt to model the spread of an oil slick using incomplete data.SPANISH LANGUAGE VERSION  We have placed in Supporting Docs a Spanish version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Spanish

  14. 1-005-Text-S-NavigatingNumericalMethods

    31 Mar 2019 | Technique Narratives | Contributor(s): Corban Harwood

    This technique narrative guides a discovery-based approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of the forward Euler method and second order Taylor method. These methods are motivated by velocity...

  15. 1-005A-S-ChemDataCollection

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

  16. 1-005A-S-OilSlick

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

  17. 1-005B-S-ChemDataCollection

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

  18. 1-006-S-FinancingSavingsAndLoans

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

  19. 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...

  20. 1-009-S-ICUSpread

    02 Jun 2015 | Modeling Scenarios | Contributor(s): Brian Winkel