
6003SSchoolFluEpidemic
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.

1141SM&MGameRevisited
27 Aug 2018  Modeling Scenarios  Contributor(s): Mehdi HakimHashemi
In this project students will learn to find a probability distribution using the classical M&M game in SIMIODE.

1141TM&MGameRevisited
27 Aug 2018  Modeling Scenarios  Contributor(s): Mehdi HakimHashemi
In this project students will learn to find a probability distribution using the classical M&M game offered in SIMIODE.

1108SPoissonProcess
27 Aug 2018  Modeling Scenarios  Contributor(s): Mehdi HakimHashemi
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.

1108TPoissonProcess
27 Aug 2018  Modeling Scenarios  Contributor(s): Mehdi HakimHashemi
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.

1015TextTDimensionlessVariables
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...

1015TextSDimensionlessVariables
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...

1118SSolowEconomicGrowth
22 Aug 2018  Modeling Scenarios  Contributor(s): Yuri Yatsenko

1118TSolowEconomicGrowth
22 Aug 2018  Modeling Scenarios  Contributor(s): Yuri Yatsenko
Students construct and analyze the celebrated SolowSwan 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...

7040TTankInterruptMixing
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.

7040STankInterruptMixing
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.

7020SThermometerInVaryingTempStream
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.

7020TThermometerInVaryingTempStream
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.

1138TInnerEarDrugDelivery
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 preclinical studies to examine local drug delivery to the cochlea....

1138SInnerEarDrugDelivery
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 preclinical studies to examine local drug delivery to the cochlea....

4055TShatterWineGlass
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...

4055SShatterWineGlass
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...

2001TextSNumericalMethodsComparisons
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...

2001TextTNumericalMethodsComparisons
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...

9001TextTSkinBurnModelNumericalMethods
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...