
1001TMandMDeathAndImmigration
30 May 2015  Modeling Scenarios
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...

1002TTossing
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 ...

1003TCollegeSavings
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.

1004TMicroorganismImmigration
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.

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 ...

1005ATChemDataCollection
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, she only collects the data at the start and end of a number of ten minute intervals and does not keep track of...

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...

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...

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...

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...

1017TDiseaseSpread
04 Jun 2015  Modeling Scenarios
We offer a physical situation, using a grid and M and M candies, to simulate the spread of disease. Students conduct the simulation and collect the data which is used to estimate parameters (in several ways) in a differential equation model for the spread of the disease. Students ...

1017aTDiseaseSpread
04 Jun 2015  Modeling Scenarios
We offer a physical situation, using a grid and M and M candies, to simulate the spread of disease. Students conduct the simulation and collect the data which is used to estimate parameters (in several ways) in a differential equation model for the spread of the disease. Students ...

1018TLogisticPopGrowth
04 Jun 2015  Modeling Scenarios
We offer artificial (toy) and historical data on limited growth population situations in the study of protozoa and lead students through several approaches to estimating parameters and determining the validity of the logistic model in these situations.

1019TRocksInTheHead
04 Jun 2015  Modeling Scenarios
We describe an experiment and offer data from a previously conducted experiment on the perception of the individual mass of a collection of rocks in comparison to a 100 g brass mass. We lead students to use the logistic differential equation as a reasonable model, estimate the parameters,...

1020TIceMelt
04 Jun 2015  Modeling Scenarios
We offer up the claim of a store catalog that its ice ball mold allows users to "... make ice balls that outlast cubes and won't water drinks down." We ask students to build a mathematical model to defend or contradict this claim.