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  1. 6-003-S-SchoolFluEpidemic

    28 Aug 2018 | Modeling Scenarios | Contributor(s): Darrell Weldon Pepper

    We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.

  2. 1-141-S-M&MGameRevisited

    27 Aug 2018 | Modeling Scenarios | Contributor(s): Mehdi Hakim-Hashemi

    In this project students will learn to find a probability distribution using the classical M&M game in SIMIODE.

  3. 1-141-T-M&MGameRevisited

    27 Aug 2018 | Modeling Scenarios | Contributor(s): Mehdi Hakim-Hashemi

    In this project students will learn to find a probability distribution using the classical M&M game offered in SIMIODE.

  4. 1-108-S-PoissonProcess

    27 Aug 2018 | Modeling Scenarios | Contributor(s): Mehdi Hakim-Hashemi

    In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve problems in stochastic processes.

  5. 1-108-T-PoissonProcess

    27 Aug 2018 | Modeling Scenarios | Contributor(s): Mehdi Hakim-Hashemi

    In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve problems in stochastic processes.

  6. 1-015-Text-T-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...

  7. 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...

  8. 1-118-S-SolowEconomicGrowth

    22 Aug 2018 | Modeling Scenarios | Contributor(s): Yuri Yatsenko

  9. 1-118-T-SolowEconomicGrowth

    22 Aug 2018 | Modeling Scenarios | Contributor(s): Yuri Yatsenko

    Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a simple nonlinear model of economic dynamics, including elements of static optimization. Part one is...

  10. 7-040-T-TankInterruptMixing

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

    We present a first order 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.

  11. 7-040-S-TankInterruptMixing

    22 Aug 2018 | Modeling Scenarios | 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.

  12. 7-020-S-ThermometerInVaryingTempStream

    22 Aug 2018 | Modeling Scenarios | 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.

  13. 7-020-T-ThermometerInVaryingTempStream

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

    We present a first order 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.

  14. 1-138-T-InnerEarDrugDelivery

    20 Aug 2018 | Modeling Scenarios | 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....

  15. 1-138-S-InnerEarDrugDelivery

    20 Aug 2018 | Modeling Scenarios | 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....

  16. 4-055-T-ShatterWineGlass

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

    This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important? Three cases are presented: shattering a wine glass, collapse of a suspension bridge, and crash of...

  17. 4-055-S-ShatterWineGlass

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

    This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important? Three cases are presented: shattering a wine glass, collapse of a suspension bridge, and crash of...

  18. 2-001-Text-S-NumericalMethodsComparisons

    18 Aug 2018 | Technique Narratives | Contributor(s): Swarn Singh

    It is not always possible to solve a differential equation analytically.This material makes an effort to teach the basics of numerical methods for first order differential equations by following graphical and numerical approaches. Here we also discuss the order of accuracy of the methods and...

  19. 2-001-Text-T-NumericalMethodsComparisons

    18 Aug 2018 | Technique Narratives | Contributor(s): Swarn Singh

    It is not always possible to solve a differential equation analytically.This material makes an effort to teach the basics of numerical methods for first order differential equations by following graphical and numerical approaches. Here we also discuss the order of accuracy of the methods and...

  20. 9-001-Text-T-SkinBurnModelNumericalMethods

    18 Aug 2018 | Technique Narratives | Contributor(s): Suruchi Singh

    The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Here we learn to solve a heat equation numerically. It is difficult to study the behavior of temperature in problems with interfaces analytically so...