
6065SInternetPlatformUsers
30 Oct 2018  Modeling Scenarios
A model estimating the volume of users interacting through a twosided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2dimensional dynamical system. The model will illustrate how the question of existence of closed orbits can be investigated....

6019SEnablingEpidemicExploration
17 Sep 2018  Modeling Scenarios
We offer several strategies for estimating parameters in models of epidemics, one using a MichaelisMenten saturation infected rate.

6019SEnablingEpidemicExploration
17 Sep 2018  Modeling Scenarios
We offer several strategies for estimating parameters in models of epidemics, one using a MichaelisMenten saturation infected rate.

1062SBacterialGrowth
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...

1062SBacterialGrowth
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...

1053SSlimeSpread
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.

1053SSlimeSpread
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.

6003SSchoolFluEpidemic
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.

6003SSchoolFluEpidemic
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.

1108SPoissonProcess
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.

1118SSolowEconomicGrowth
22 Aug 2018  Modeling Scenarios

7040STankInterruptMixing
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.

7040STankInterruptMixing
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.

1067SModelingWithSigmoidCurves
18 Aug 2018  Modeling Scenarios
The assignment considers two wellknown models of population growth, VerhulstPearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or Sshape. The assignment contains two opposite, but related tasks:...

1067SModelingWithSigmoidCurves
18 Aug 2018  Modeling Scenarios
The assignment considers two wellknown models of population growth, VerhulstPearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or Sshape. The assignment contains two opposite, but related tasks:...

1032SDigoxinElimination
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 ``firstorder reaction'' in the language of pharmacokinetics  the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

1032SDigoxinElimination
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 ``firstorder reaction'' in the language of pharmacokinetics  the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

1131SCaffeineElimination
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...

1130SAspirinAbsorption
15 Aug 2018  Modeling Scenarios
We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zeroorder 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...

1130SAspirinAbsorption
15 Aug 2018  Modeling Scenarios
We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zeroorder 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...