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  1. 1-043-S-CoolingUpAndDown

    26 Aug 2017 | Modeling Scenarios | Contributor(s): Brian Winkel

    We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.

  2. 1-044-S-CollegeBound

    31 Jul 2016 | Modeling Scenarios | Contributor(s): Brian Winkel

  3. 1-045-S-TimeOfDeath

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

  4. 1-047-S-Condensation

    17 Jul 2016 | Modeling Scenarios | Contributor(s): Chris McCarthy, Brian Winkel

  5. 1-047a-S-CondensationOptimization

    17 Jul 2016 | Modeling Scenarios | Contributor(s): Chris McCarthy, Brian Winkel

  6. 1-050-S-BargingAhead

    10 Feb 2016 | Modeling Scenarios | Contributor(s): Timothy Pennings

  7. 1-051-S-OneTankSaltModel

    23 Jul 2016 | Modeling Scenarios | Contributor(s): Brian Winkel

    We offer students a chance to model a one compartment salt mixing model.

  8. 1-052-S-SaltWaterTanks

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

    We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.

  9. 1-053-S-SlimeSpread

    30 Aug 2018 | Modeling Scenarios | Contributor(s): Brian Winkel

    We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.

  10. 1-054-S-GrowthInFarmland

    14 Aug 2018 | Modeling Scenarios | Contributor(s): Richard Spindler

    An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple ways. Different fits, modeling approaches, and...

  11. 1-055-S-WaterFallingInCone

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

    There are three videos associated with this Modeling Scenario and all are available on SIMIODE YouTube Channel: Capture-3 YouTube Version SlowMoCapture-1 YouTube Version SlowMoCapture-2 YouTubeVersion and as streaming videos or down loads in this Modeling Scenario under the Supporting Docs Tab...

  12. 1-057-S-FiguringFluidFlow

    15 Aug 2017 | Modeling Scenarios | Contributor(s): Brian Winkel

    We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which model is the best of the three.

  13. 1-058-S-WaterClocks

    26 Nov 2016 | Modeling Scenarios | Contributor(s): Sania Qureshi, Brian Winkel

    We apply Torricelli's Law to the task of building a water clock in which the height of the water in a container falls at a constant rate when the container has a hole in the bottom to let the water flow out. First, we review the principles and derivation of the applicable physics in...

  14. 1-059-S-ContainerShapeFallingWater

    22 Nov 2016 | Modeling Scenarios | Contributor(s): Brian Winkel

    We examine many different physical situations to determine the time it takes a fixed volume of water to flow out of different shape containers through the same size exit hole at the bottom of the container.

  15. 1-060-S-SalesMarketing

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

  16. 1-060-Text-S-RegularPerturbation

    21 Apr 2019 | Technique Narratives | Contributor(s): Mark A. Lau

    This Technique Narrative presents an introduction to a set of analytical approximations referred to as regular perturbation.This is a particular mathematical tool within the broader set of perturbation methods. In general, perturbation methods are analytical techniques for obtaining...

  17. 1-061-S-PotatoCooling

    05 Oct 2016 | Modeling Scenarios | Contributor(s): Brian Winkel

  18. 1-062-S-BacterialGrowth

    15 Sep 2018 | Modeling Scenarios | Contributor(s): Arati Nanda Pati

    We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches andusing EXCEL spreadsheet. In this particular modeling scenario, we know the exact solution and want to see how various models predict our expectations. We have used...

  19. 1-063-S-ThreeHoleColumn

    15 Dec 2018 | Modeling Scenarios | Contributor(s): Brian Winkel

    We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.

  20. 1-064-S-TorricelliBox

    14 Aug 2017 | Modeling Scenarios | Contributor(s): Brian Winkel

    The time it takes a column of water to empty and the time it takes the same volume of column of water with a box (various sizes) submerged in the column of water are compared through modeling with Torricelli's Law.