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

    27 Jun 2016 | Modeling Scenarios

    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...

  2. 1-001c-S-PopulationDecayThenSome

    18 Jun 2019 | Modeling Scenarios

    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.

  3. 1-001d-S-HotelPopulationDecay

    03 Jul 2019 | Modeling Scenarios

    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.

  4. 1-001pgf-S-BirthDeathImmigration

    09 Feb 2016 | Modeling Scenarios

    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. 

  5. 1-002-S-Tossing

    11 May 2015 | Modeling Scenarios

    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 ...

  6. 1-003-S-CollegeSavings

    12 May 2015 | Modeling Scenarios

    We present a modeling opportunity for students in which they have to plan and model for saving for a child's complete college education.

  7. 1-003-S-CollegeSavings

    12 May 2015 | Modeling Scenarios

    We present a modeling opportunity for students in which they have to plan and model for saving for a child's complete college education.

  8. 1-003-S-Text-IntroNumericalMethods

    10 Jan 2019 | Technique Narratives

    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. 

  9. 1-004-S-MicroorganismImmigration

    30 May 2015 | Modeling Scenarios

    We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.

  10. 1-005-S-OilSlick

    30 May 2015 | Modeling Scenarios

    We describe a modeling activity for students in  which modeling with difference and differential equations is appropriate. We have used this model in our coursework for years and have found that it enlightens students as to the model building process and parameter estimation for a ...

  11. 1-005A-S-OilSlick

    30 May 2015 | Modeling Scenarios

  12. 1-007-S-AntTunnelBuilding

    31 May 2015 | Modeling Scenarios

    We pose the prospect of modeling just how long an ant takes to build a tunnel. With a bit of guidance students produce a model for the time it takes to build a tunnel of length x into the side of a damp sandy hill. SPANISH LANGUAGE VERSION  We have placed in Supporting Docs both...

  13. 1-011-S-Kinetics

    03 Jun 2015 | Modeling Scenarios

    We help students see the connection between college level chemistry course work and their differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction. We offer many opportunities to model these chemical reactions with data, some of which comes from...

  14. 1-011A-S-Kinetics

    06 Jun 2015 | Modeling Scenarios

     Adapted from 1-11-Kinetics, SIMIODE modeling scenario.  We help students see the connection between college level chemistry course work and their differential equations coursework.  We do this through modeling kinetics, or rates of chemical reaction. We study zeroth, first, and...

  15. 1-014-S-DrainingContainers

    17 Mar 2017 | Modeling Scenarios

    We examine the question, ``Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the cylinder, which empties faster?''

  16. 1-014-S-DrainingContainers

    17 Mar 2017 | Modeling Scenarios

    We examine the question, ``Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the cylinder, which empties faster?''

  17. 1-021-S-FeralCatControl

    24 Jan 2016 | Modeling Scenarios

    This activity is structured as a letter from a company seeking assistance with a mathematical problem. The students will act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use...

  18. 1-022-S-SpreadOfTechnology

    27 Nov 2015 | Modeling Scenarios

    We examine  plots on the  spread of technologies and ask students to estimate and extract data from the plots and then model several of these spread of technologies phenomena with a logistic differential equation model.

  19. 1-024-S-MalariaControl

    06 May 2016 | Modeling Scenarios

    This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations. The scenario is based on the deployment of the United States Army's 62nd Engineer Battalion to...

  20. 1-027-S-StochasticProcesses

    04 Jun 2015 | Modeling Scenarios

    We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success.  We work to build our model of random events which...

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