
1001BSMAndMDeathImmigrationMystery
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...

1001cSPopulationDecayThenSome
18 Jun 2019  Modeling Scenarios
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
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
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.

1002STossing
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 ...

1003SCollegeSavings
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.

1003SCollegeSavings
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.

1003STextIntroNumericalMethods
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.

1004SMicroorganismImmigration
30 May 2015  Modeling Scenarios
We present a modeling opportunity for population death with nonconstant immigration and suggest the use of both discrete and continuous models with a comparison of results.

1005SOilSlick
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 ...

1005ASOilSlick
30 May 2015  Modeling Scenarios

1007SAntTunnelBuilding
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...

1011SKinetics
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...

1011ASKinetics
06 Jun 2015  Modeling Scenarios
Adapted from 111Kinetics, 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...

1014SDrainingContainers
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?''

1014SDrainingContainers
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?''

1021SFeralCatControl
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...

1022SSpreadOfTechnology
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.

1024SMalariaControl
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 nonlinear (logistic growth) differential equations. The scenario is based on the deployment of the United States Army's 62nd Engineer Battalion to...

1027SStochasticProcesses
04 Jun 2015  Modeling Scenarios
We build the infinite set of first order differential equations for modeling a stochastic process, the socalled 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...