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  1. 2020-Winkel, Brian - Remote Teaching Module - Modeling a Falling Column of Water

    07 Jun 2020 | | Contributor(s):: Brian Winkel

    {xhub:include type="stylesheet" filename="pages/resource.css"}{xhub:include type="stylesheet" filename="pages/scudem-accordion.css"}We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module - Modeling the Falling Column of Water.This module...

  2. 1-128-S-RocketFlight

    04 Jun 2020 | | Contributor(s):: Brian Winkel

    We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its fall to earth.

  3. 1-124-S-WorldPopulation

    30 May 2020 | | Contributor(s):: Lenka Pribylova, Jan Sevcik, Pavel Morcinek, Brian Winkel

    We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION  We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Czech.

  4. 1999-McCartney, Mark  and Malachy Carey - Modelling Traffic Flow: Solving and Interpreting Differential Equations. 

    05 Apr 2020 | | Contributor(s):: Brian Winkel

    McCartney, Mark  and Malachy Carey. 1999. Modelling Traffic Flow: Solving and Interpreting Differential Equations.  Teaching Mathematics and its Applications: An International Journal of the IMA. 18(3):...

  5. 2016-Keszei, Ernő - Chemical Kinetics for Beginners. 

    27 Mar 2020 | | Contributor(s):: Brian Winkel

    Keszei, Ernő. 2016.  Chemical Kinetics for Beginners. Course material supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government.Table of ContentsContents 31. Introduction 42. Formal kinetic description of elementary reactions...

  6. 2018-Chen, Franklin M. - Teaching Kinetics through Differential Equations Constructed with a Berkeley MadonnaTM Flow Chart Model.

    26 Mar 2020 | | Contributor(s):: Brian Winkel

    Chen, Franklin M. 2018.  Teaching Kinetics through Differential Equations Constructed with a Berkeley MadonnaTM Flow Chart Model. Journal of Computational Science Education. 9(1):...

  7. 10-001-S-TilingHallway

    12 Sep 2019 | | Contributor(s):: Rob Krueger, Eric Stachura

    Students will investigate difference equations through the context of tiling hallways. Students will observe patterns in the tiling which will lead to a difference equation model. Solutions will be calculated by iteration.  Then students will be introduced to the concept of the shift...

  8. 1-092-S-DashItAll

    01 Sep 2019 | | Contributor(s):: Kurt Bryan

    This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. The model is driven by data from the world record race of Usain Bolt in the 2008 Beijing Olympic games. In particular, we derive the classic Hill-Keller model for a...

  9. 2019-Bukaita, Wisam Victor Yossif; Kelcey Meaney; and Angie Dimopulos - Ice Coverage in the Arctic Climate over time

    17 Aug 2019 | | Contributor(s):: Wisam Victor Yossif Bukaita, Kelcey Meaney, Angie Dimopulos

    In this paper, entitled Ice Coverage in the Arctic Climate, from two students, Angie Dimopulos and Kelcey Heaney, and their professor, Dr. Wisam Bukaita, ice coverage in the Arctic is modeled over time. We present their abstract here and include the paper itself.ABSTRACT The Arctic plays a...

  10. 1-001d-S-HotelPopulationDecay

    03 Jul 2019 | | 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.

  11. 1-005-Text-S-NavigatingNumericalMethods

    31 Mar 2019 | | 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...

  12. 5-005-Text-S-StiffDifferentialEquations

    05 Mar 2019 | | Contributor(s):: Kurt Bryan

    This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples.Stiffness is a property that a system of ODE's may possess that make it difficult to solve numerically with standard methods, and it is a...

  13. 2019-Yagodich, Dina - 1-042-Kool-Aid Modeling Video

    24 Feb 2019 | | Contributor(s):: Dina Yagodich

    This is a video which can be used with students after they have worked on the Modeling Scenario 1-042-KoolAid. Dina Yagodich, Frederick Community College, Frederick MD USA produced the video in support of her students who thoroughly enjoyed doing this Modeling Scenario.This video is only...

  14. 1-003-S-Text-IntroNumericalMethods

    10 Jan 2019 | | 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. 

  15. 1-063-S-ThreeHoleColumn

    15 Dec 2018 | | 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.

  16. 1-062-S-BacterialGrowth

    15 Sep 2018 | | 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...

  17. 1-053-S-SlimeSpread

    30 Aug 2018 | | 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.

  18. 7-040-S-TankInterruptMixing

    22 Aug 2018 | | Contributor(s):: Norman Loney

    We present a differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

  19. 7-020-S-ThermometerInVaryingTempStream

    22 Aug 2018 | | Contributor(s):: Norman Loney

    We present a differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.

  20. 1-138-S-InnerEarDrugDelivery

    20 Aug 2018 | | Contributor(s):: Jue Wang

    Hearing loss is difficult to treat due to the inner ear location and structure. Drawing from this challenging case, this scenario guides students to transform a treatment protocol into a mathematical model. Students engage in pre-clinical studies to examine local drug delivery to the cochlea. The...