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  1. 1-009-S-Text-Bifurcation

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

  2. 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...

  3. 1-010-Text-S-AtmosphericCO2Bifurcation

    12 Jan 2020 | Technique Narratives | Contributor(s): Jakob Kotas

    Students are introduced to the concept of a bifurcation in a first-order ordinary differential equation through a modeling scenario involving atmospheric carbon dioxide. Carbon dioxide is taken as a parameter and temperature is a function of time.

  4. 1-011-S-Kinetics

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

    We help students see the connection between college level chemistry course work and their differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction. We offer many opportunities to model these chemical reactions with data, some of which comes from...

  5. 1-011A-S-Kinetics

    06 Jun 2015 | Modeling Scenarios | Contributor(s): Karen Bliss

  6. 1-012-S-SublimationCarbonDioxide

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

  7. 1-013-S-Sleuthing

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

    We present several situations in which differential equation models serve to aid in sleuthing and general investigations. One involves initial speed given information about constant deceleration and distance to stop in traffic incident; one involves modeling a steel ball launched vertically and...

  8. 1-014-S-DrainingContainers

    17 Mar 2017 | Modeling Scenarios | Contributor(s): Brian Winkel

    We examine the question, ``Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the cylinder, which empties faster?''

  9. 1-015-S-Torricelli

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

    We  model the height of a falling column of water in a  right circular cylinder (radius = 4.17 cm) emptying through a small hole on the side of the cylinder.  Indeed, in all the videos below where are referred to in this Modeling Scenario the cylinder is a 2 liter soda pop...

  10. 1-015-Text-S-DimensionlessVariables

    25 Aug 2018 | Technique Narratives | Contributor(s): Kurt Bryan

    This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the introduction of dimensionless variables. In practice this is an extremely common and useful prelude to the analysis and solution of ODE's, and yet is not often taught in an...

  11. 1-016-S-DogDrugs

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

  12. 1-017-S-DiseaseSpread

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

  13. 1-017a-S-DiseaseSpread

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

  14. 1-018-S-LogisticPopGrowth

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

  15. 1-019-S-RocksInTheHead

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

  16. 1-020-S-IceMelt

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

  17. 1-021-S-FeralCatControl

    24 Jan 2016 | Modeling Scenarios | Contributor(s): Rachel Bayless, Nathan Pennington

  18. 1-022-S-SpreadOfTechnology

    27 Nov 2015 | Modeling Scenarios | Contributor(s): Brian Winkel

  19. 1-023-S-RumorSpread

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

  20. 1-024-S-MalariaControl

    06 May 2016 | Modeling Scenarios | Contributor(s): David Culver