
1994Gruszka Modeling falling balloon  experiment and analysis
20 Jun 2015
Gruszka, T. 1994. A Balloon Experiment in the Classroom. The College Mathematics Journal. 25(5): 442444.We quote from the article,“The following experiment involves a balloon, a stopwatch, and a measurement device such as a meter stick. . . . The goals of the experiment include...

1980PeastrelTerminal velocity of a shuttlecock
20 Jun 2015
Peastrel, M., R. Lynch Lynch, and A.Armenti, Jr. 1980. Terminal velocity of a shuttlecock in vertical fall. American Journal of Physics. 48(7): 511513.Article Abstract: We have performed a straightforward vertical fall experiment for a case where the effects of air resistance are...

1967WagnerComputers in pharmacokinetics
20 Jun 2015  Potential Scenario Ideas
Wagner, J. G. 1967. Computers in pharmacokinetics. Clinical Pharmacology and Therapeutics. 8(1)Part 2: 201218. This is a seminal paper in pharmacokinetics in which the author introduces historic notions and approaches. As can be seen from the abstract there is a...

1997Shulman Using Original Sources to Teach the Logistic Equation
20 Jun 2015  Potential Scenario Ideas
Shulman, Bonnie. 1997. Module 766  Using Original Sources to Teach the Logistic Equation. COMAP: 163190. Downloaded FREE from https://www.academia.edu/4372451/Using_Original_Sources_to_Teach_the_Logistic_EquationThis is the actual module.ABSTRACT: This Module uses original...

1935GauseParameciaYeast PredatorPreyG.F.Gause Study
20 Jun 2015  Potential Scenario Ideas
This is the classic paper, Experimental Demonstration of Volterra's Periodic Oscillations in the Numbers of Animals in the Journal of Experimental Biology by G. F. Gause from pp.4448. Data in a plot is offered on paramecia (predator) and yeast (prey) through several cycles. Parameter...

1935Gause Experimental Demonstration of Volterra's Periodic Oscillations in the Numbers of Animals
20 Jun 2015  Potential Scenario Ideas
Gause, G. F. 1935. Experimental Demonstration of Volterra's Periodic Oscillations in the Numbers of Animals. The Journal of Experimental Biology. 12:4448. Available as a free pdf at, http://jeb.biologists.org/content/12/1/44.full.pdf . Accessed 5 December 2014.

7005TTextLaplaceTransformOverView
06 Jun 2015  Technique Narratives
The Laplace Transform is a mathematical construct that has proven very useful in both solving and understanding differential equations. We introduce it and show its power here.

1011ATKinetics
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...

3001TSpringMassDataAnalysis
05 Jun 2015  Modeling Scenarios
We offer data on the position of a mass at the end of a spring over time where the spring mass configuration has additional damping due to taped flat index cards at the bottom of the mass. The general modeling of a spring mass configuration and the estimation of parameters form the core of this...

3001TSpringMassDataAnalysis
05 Jun 2015  Modeling Scenarios
We offer data on the position of a mass at the end of a spring over time where the spring mass configuration has additional damping due to taped flat index cards at the bottom of the mass. The general modeling of a spring mass configuration and the estimation of parameters form the core of this...

6030TSaltTorricelli
04 Jun 2015  Modeling Scenarios
We build on 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 use data from one video of a falling column of water and the resulting Torricelli's Law model to estimate a parameter in...

6030TSaltTorricelli
04 Jun 2015  Modeling Scenarios
We build on 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 use data from one video of a falling column of water and the resulting Torricelli's Law model to estimate a parameter in...

1027TStochasticProcesses
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...

1027TStochasticProcesses
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...

1026TEvaporation
04 Jun 2015  Modeling Scenarios
We provide data (in EXCEL and Mathematica files) on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We ask students to develop a mathematical model for the rate of evaporation for the alcohol mixture...

1023TRumorSpread
04 Jun 2015  Modeling Scenarios
We use a newspaper report on the spread of a rumor based on shares of articles on the Internet over a 5 day period to demonstrate the value of modeling with the logistic differential equation. The data shows and the intrinsic growth rates confirm that the false rumor spread faster than true rumor.

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.

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,...

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.

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 ...