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  1. 1-001-S-MandMDeathAndImmigration

    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...

  2. 1-001-S-Text-SeparationOfVariables

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

  3. 1-001-T-MandMDeathAndImmigration

    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...

  4. 1-001-T-Text-SeparationOfVariables

    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.

  5. 1-001A-S-MandMDeathImmigration

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

  6. 1-001A-T-MandMDeathImmigration

    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...

  7. 1-001B-S-MAndM-DeathImmigrationMystery

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

  8. 1-001B-T-MAndM-DeathImmigrationMystery

    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...

  9. 1-001c-S-PopulationDecayThenSome

    18 Jun 2019 | Modeling Scenarios | Contributor(s): Dina Yagodich

    This is an adaption of Modeling Scenario 1-001-S-MandMDeathAndImmigration  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.

  10. 1-001c-T-PopulationDecayThenSome

    18 Jun 2019 | Modeling Scenarios | Contributor(s): Dina Yagodich

    This is an adaption of Modeling Scenario 1-001-S-MandMDeathAndImmigration  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.

  11. 1-001d-S-HotelPopulationDecay

    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.

  12. 1-001d-T-HotelPopulationDecay

    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.

  13. 1-001pgf-S-BirthDeathImmigration

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

  14. 1-001pgf-T-BirthDeathImmigration

    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. 

  15. 1-002-S-Text-IntegratingFactor

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

  16. 1-002-S-Tossing

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

  17. 1-002-T-Text-IntegratingFactor

    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...

  18. 1-002-T-Tossing

    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 ...

  19. 1-003-S-CollegeSavings

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

  20. 1-003-S-Text-IntroNumericalMethods

    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.