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  1. SCUDEM IV 2019 Faculty Development Materials

    10 Dec 2019 | General Resources | Contributor(s): Brian Winkel

    Here are the SCUDEM IV 2019 Faculty Development Materials.    These materials are in the Supporting Docs Tab.There are several files:SCUDEM IV 2019 Fac Dev Workshop SLIDES0_Fall2019 SCUDEM Prof Dev INSTRUCTIONS Pre-Workshop1_Fall2019 SCUDEM Prof Dev M&M Death and...

  2. 1-114-T-EarthClimate

    09 Dec 2019 | Modeling Scenarios | Contributor(s): Terrance Pendleton

    In this modeling scenario, we investigate the Earth's climate using a zero-dimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth from solar radiation, emission of radiation to outer space, and Earth's...

  3. 1-114-S-EarthClimate

    09 Dec 2019 | Modeling Scenarios | Contributor(s): Terrance Pendleton

    In this modeling scenario, we investigate the Earth's climate using a zero-dimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth from solar radiation, emission of radiation to outer space, and Earth's...

  4. 2-005-Text-T-LinearizeItAll

    09 Dec 2019 | Technique Narratives | Contributor(s): Don Hickethier

    Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained. A simple model using Torricelli's Law will compare the exact solution to the...

  5. 2-005-Text-S-LinearizeItAll

    09 Dec 2019 | Technique Narratives | Contributor(s): Don Hickethier

    Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained. A simple model using Torricelli's Law will compare the exact solution to...

  6. 3-087-T-ThanosPopulationDynamicsInteractingSpecies

    06 Dec 2019 | Modeling Scenarios | Contributor(s): Sarah Elizabeth Ritchey Patterson, Blain Patterson

    At the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

  7. 3-087-S-ThanosPopulationDynamicsInteractingSpecies

    06 Dec 2019 | Modeling Scenarios | Contributor(s): Blain Patterson, Sarah Elizabeth Ritchey Patterson

    In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

  8. SCUDEM IV 2019 PROBLEMS AND SUPPLEMENTAL MATERIALS

    04 Dec 2019 | General Resources | Contributor(s): Brian Winkel

    SCUDEM IV 2019 PROBLEMS AND SUPPLEMENTAL MATERIALSHere you will find the Problems for SCUDEM IV 2019 with Additional Issues (click on "Download (PDF)" black box above right). These problems were posted on 1 November 2019 for students to select one problem from which to build a...

  9. SIMIODE as Official US IRS 501(c)3 Non-Profit Organization

    02 Dec 2019 | General Resources | Contributor(s): Brian Winkel

    As of  13 August 2016 SIMIODE is an Official United States Internal Revenue Service 501(c)3 Non-Profit Organization. See the IRS letter below. This means all contributions made are tax deductible for US IRS purposes. 

  10. 3-061-S-ChemEng

    27 Nov 2019 | Modeling Scenarios | Contributor(s): Eric Stachura, Tamara Lozano

    Chemical and biomedical applications of differential equations

  11. 3-061-T-ChemEng

    27 Nov 2019 | Modeling Scenarios | Contributor(s): Eric Stachura, Tamara Lozano

    Students will be lead through a classical chemical engineering problem: to calculate the concentration profile of cyclohexane within a catalyst pellet by solving a second order linear differential equation. Then students will analyze the concentration as the radius of the catalyst shrinks to...

  12. 9-020-T-HeatDiffusion

    14 Oct 2019 | Modeling Scenarios | Contributor(s): Kimberly Spayd, James Puckett

    This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

  13. 9-020-S-HeatDiffusion

    14 Oct 2019 | Modeling Scenarios | Contributor(s): Kimberly Spayd, James Puckett

    This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

  14. 1-087-T-ThanosPopulationDynamics

    07 Oct 2019 | Modeling Scenarios | Contributor(s): Sarah Elizabeth Ritchey Patterson, Blain Patterson

    In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of...

  15. 1-087-S-ThanosPopulationDynamics

    07 Oct 2019 | Modeling Scenarios | Contributor(s): Sarah Elizabeth Ritchey Patterson, Blain Patterson

    In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

  16. 5-010-S-MatrixExponential

    12 Sep 2019 | Technique Narratives | Contributor(s): Kurt Bryan

    The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick introduction to the technique, with examples and exercises. It also includes an introduction to...

  17. 5-010-T-MatrixExponential

    12 Sep 2019 | Technique Narratives | Contributor(s): Kurt Bryan

    The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick introduction to the technique, with examples and exercises. It also includes an introduction to...

  18. 10-001-S-TilingHallway

    12 Sep 2019 | Modeling Scenarios | 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...

  19. 10-001-T-TilingHallway

    12 Sep 2019 | Modeling Scenarios | 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...

  20. 1-111-T-SpreadOfInformation

    02 Sep 2019 | Modeling Scenarios | Contributor(s): Jeff Pettit

    Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model culminating with a separable linear first order differential equation which can be compared to predicted data,...