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  1. 6-065-S-InternetPlatformUsers

    30 Oct 2018 | Modeling Scenarios

    A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical system. The model will illustrate how the question of existence of closed orbits can be investigated....

  2. 6-019-S-EnablingEpidemicExploration

    17 Sep 2018 | Modeling Scenarios

    We offer several strategies for estimating parameters in models of epidemics, one using a Michaelis-Menten saturation infected rate.

  3. 6-019-S-EnablingEpidemicExploration

    17 Sep 2018 | Modeling Scenarios

    We offer several strategies for estimating parameters in models of epidemics, one using a Michaelis-Menten saturation infected rate.

  4. 1-062-S-BacterialGrowth

    15 Sep 2018 | Modeling Scenarios

    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...

  5. 1-062-S-BacterialGrowth

    15 Sep 2018 | Modeling Scenarios

    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...

  6. 1-053-S-SlimeSpread

    30 Aug 2018 | Modeling Scenarios

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

  7. 1-053-S-SlimeSpread

    30 Aug 2018 | Modeling Scenarios

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

  8. 6-003-S-SchoolFluEpidemic

    28 Aug 2018 | Modeling Scenarios

    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.

  9. 6-003-S-SchoolFluEpidemic

    28 Aug 2018 | Modeling Scenarios

    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.

  10. 1-108-S-PoissonProcess

    27 Aug 2018 | Modeling Scenarios

    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.

  11. 1-118-S-SolowEconomicGrowth

    22 Aug 2018 | Modeling Scenarios

  12. 7-040-S-TankInterruptMixing

    22 Aug 2018 | Modeling Scenarios

    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.

  13. 7-040-S-TankInterruptMixing

    22 Aug 2018 | Modeling Scenarios

    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.

  14. 1-067-S-ModelingWithSigmoidCurves

    18 Aug 2018 | Modeling Scenarios

    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape. The assignment contains two opposite, but related tasks:...

  15. 1-067-S-ModelingWithSigmoidCurves

    18 Aug 2018 | Modeling Scenarios

    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape. The assignment contains two opposite, but related tasks:...

  16. 1-032-S-DigoxinElimination

    17 Aug 2018 | Modeling Scenarios

    We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

  17. 1-032-S-DigoxinElimination

    17 Aug 2018 | Modeling Scenarios

    We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

  18. 1-131-S-CaffeineElimination

    15 Aug 2018 | Modeling Scenarios

    We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a reaction in the language of pharmacokinetics -- the study of how drugs move in the body. This simple activity can be used to introduce differential equations, and it can be...

  19. 1-130-S-AspirinAbsorption

    15 Aug 2018 | Modeling Scenarios

    We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zero-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body. This simple activity can be used to introduce differential equations and it can be used to...

  20. 1-130-S-AspirinAbsorption

    15 Aug 2018 | Modeling Scenarios

    We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zero-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body. This simple activity can be used to introduce differential equations and it can be used to...

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