
1001ATMandMDeathImmigration
27 Jun 2016  Modeling Scenarios
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...

1001BTMAndMDeathImmigrationMystery
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.

1001cTPopulationDecayThenSome
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.

1001dTHotelPopulationDecay
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.

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.

1003TTextIntroNumericalMethods
10 Jan 2019  Technique Narratives
We develop elementary approaches to numerically solving first order differential equations with Euler's Method and Improved Euler's Method. We ask students to develop these geometrically and to compute numeric solutions and compare them to the analytic solutions for a number of different...

1005TOilSlick
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 ...

1005BTChemDataCollection
30 May 2015  Modeling Scenarios
We present a situation in which a chemistry graduate student is assigned the task of collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, he only collects the data at the start and end of a number of three minute intervals and does not keep track of...

1006TFinancingSavingsAndLoans
31 May 2015  Modeling Scenarios
We describe two situations (Pa) one in which we are saving for a purpose and (2) one in which we are borrowing for a purpose. In the first case we ask for discrete and continuous model of the situation and in the second case we ask that the results of the model be used to examine some...

1007TAntTunnelBuilding
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...

1009TICUSpread
02 Jun 2015  Modeling Scenarios
We offer students the opportunity to model the percentage of voluntary nonprofit hospitals in the United States with Intensive Care Units during the period of 19581974.

1009TTextBifurcation
31 May 2015  Technique Narratives
We lead students to investigate firstorder differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as these parameters vary.

1010TLSDAndProblemSolving
02 Jun 2015  Modeling Scenarios
We describe the use of a two compartment model of a linear system of first order linear differential equations to model lysergic acid diethylamide (LSD) in the body. We provide the data from the literature. We offer students the opportunity to build a two compartment model to fully...

1010TextTAtmosphericCO2Bifurcation
12 Jan 2020  Technique Narratives
Students are introduced to the concept of a bifurcation in a firstorder ordinary differential equation (ODE) through a modeling scenario involving atmospheric carbon dioxide. carbon dioxide is taken as a parameter and temperature is a function of time. For low values of carbon dioxide, there...

1011TKinetics
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 study zeroth, first, and second order reactions and offer many opportunities to model these...

1012TSublimationCarbonDioxide
03 Jun 2015  Modeling Scenarios
We offer data on the sublimation of dry ice (carbon dioxide) with data collected in a classroom setting so that students can model the rate of change in the mass of a small solid carbon dioxide block with a differential equation model, solve the differential equation, estimate the parameters in...

1013TSleuthing
03 Jun 2015  Modeling Scenarios
We present several situations in which differential equation models serve to aid in sleuthing and general investigations. One involves initial speed given information about constant deceleration and distance to stop in traffic incident; one involves modeling a steel ball launched vertically and...

1014TDrainingContainers
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?''

1015TTorricelli
03 Jun 2015  Modeling Scenarios
We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water. We offer several sources of simulations on YouTube and at this site from which we collect data and ask students to verify...