
1001SMandMDeathAndImmigration
30 May 2015  Modeling Scenarios  Contributor(s): Brian Winkel
We describe a classroom activity in which students use M&M candies to simulate death and immigration. Students build a mathematical model, collect data, estimate parameters, and compare their model prediction with their actual data. There is a video of one run of the main simulation in this...

1001STextSeparationOfVariables
30 May 2015  Technique Narratives  Contributor(s): Brian Winkel

1001TMandMDeathAndImmigration
30 May 2015  Modeling Scenarios  Contributor(s): Brian Winkel
We describe a classroom activity in which students use M&M candies to simulate death and immigration. Students build a mathematical model, usually a linear first order, difference or differential equation, collect data, estimate parameters, and compare their model prediction with their...

1001TTextSeparationOfVariables
30 May 2015  Technique Narratives  Contributor(s): Brian Winkel
We discuss strategies to solve first order, ordinary differential equations with mathematical models when the variables may be separated.

1001ASMandMDeathImmigration
27 Jun 2016  Modeling Scenarios  Contributor(s): Karen Bliss

1001ATMandMDeathImmigration
27 Jun 2016  Modeling Scenarios  Contributor(s): Karen Bliss
Consider a regular size bag of M&M candies (not peanut, just regular). Usually there are about 55 pieces in each bag. They are of different colors, but each piece almost always has an ``m" pressed on one side and not the other. Hence, there are distinctions between the sides. Let us...

1001BSMAndMDeathImmigrationMystery
27 Jun 2016  Modeling Scenarios  Contributor(s): Brian Winkel

1001BTMAndMDeathImmigrationMystery
27 Jun 2016  Modeling Scenarios  Contributor(s): Brian Winkel
We describe a classroom activity in which students use M&M candies to simulate death and immigration. Each student conducts an experiment with an immigration rate unique to that student  of that student's choice. Collected data on generation or iteration and population is then...

1001cSPopulationDecayThenSome
18 Jun 2019  Modeling Scenarios  Contributor(s): Dina Yagodich
This is an adaption of Modeling Scenario 1001SMandMDeathAndImmigration in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.

1001cTPopulationDecayThenSome
18 Jun 2019  Modeling Scenarios  Contributor(s): Dina Yagodich
This is an adaption of Modeling Scenario 1001SMandMDeathAndImmigration in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.

1001dSHotelPopulationDecay
03 Jul 2019  Modeling Scenarios  Contributor(s): Dina Yagodich
We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

1001dTHotelPopulationDecay
03 Jul 2019  Modeling Scenarios  Contributor(s): Dina Yagodich
We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

1001pgfSBirthDeathImmigration
09 Feb 2016  Modeling Scenarios  Contributor(s): Chris McCarthy

1001pgfTBirthDeathImmigration
09 Feb 2016  Modeling Scenarios  Contributor(s): Chris McCarthy
We develop a mathematical model of a death and immigration process using m&m's as a stochastic process with the help of probability generating functions.

1002STextIntegratingFactor
30 May 2015  Technique Narratives  Contributor(s): Brian Winkel

1002STossing
11 May 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1002TTextIntegratingFactor
30 May 2015  Technique Narratives  Contributor(s): Brian Winkel
A strategy to solve first order differential equations is to transform one side of the differential equation to become the derivative of a product of two functions, thereby making it easy to antidifferentiate that side. This will also transform the other side of the differential...

1002TTossing
11 May 2015  Modeling Scenarios  Contributor(s): Brian Winkel
We offer students simulation experience or data from a simulation and ask them to model the simulation using several approaches, to include exponential decay fit, difference equation, and differential equation.We add a Hand Out Working Version which can be used in class authored by Rachel ...

1003SCollegeSavings
12 May 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1003STextIntroNumericalMethods
10 Jan 2019  Technique Narratives  Contributor(s): Brian Winkel
We ask students to develop two numerical methods for solving first order differential equations geometrically and to compute numeric solutions and compare them to the analytic solutions for a number of different step sizes.