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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 this...

  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. 1-001pgf-S-BirthDeathImmigration

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

  6. 1-002-S-Text-IntegratingFactor

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

  7. 1-002-S-Tossing

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

  8. 1-003-S-CollegeSavings

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

  9. 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. 

  10. 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.

  11. 1-005-S-OilSlick

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

  12. 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...

  13. 1-005A-S-ChemDataCollection

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

  14. 1-005A-S-OilSlick

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

  15. 1-005B-S-ChemDataCollection

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

  16. 1-006-S-FinancingSavingsAndLoans

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

  17. 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.

  18. 1-009-S-ICUSpread

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

  19. 1-009-S-Text-Bifurcation

    31 May 2015 | Technique Narratives | Contributor(s): Edward Swim

  20. 1-010-S-LSDAndProblemSolving

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

    We ask students to build differential equations to model lysergic acid diethylamide (LSD) in the body. We provide the data from the literature. We offer students the opportunity to build a model to fully analyze the administration and absorption of LSD in 8 student volunteers. We also...