
1086SMedicinalPill
31 Aug 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
Administration of a medicinal pill in single and multiple doses is modeled.

1071SNewtonWatsonTimeOfDeath
28 Aug 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
Sherlock Holmes determines the time of death for a body found on a street in London and we need to reproduce his astute analysis.

1043SCoolingUpAndDown
26 Aug 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.

1057SFiguringFluidFlow
15 Aug 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which model is the best of the three.

1064STorricelliBox
14 Aug 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
The time it takes a column of water to empty and the time it takes the same volume of column of water with a box (various sizes) submerged in the column of water are compared through modeling with Torricelli's Law.

3075SRLCCircuit
17 May 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.

5080SSpaceFlightRecolonize
06 May 2017  Modeling Scenarios  Contributor(s):: Brian Allen, Karoline Hood
This project is a combination of differential equations, multivariable calculus, and vector calculus with the use of technology to model colonization of a new planet.

1042SKoolAid
26 Apr 2017  Modeling Scenarios  Contributor(s):: Kristin Burney, Lydia Kennedy, Audrey Malagon
Singlecompartment mixing is an important foundational component of any study of ordinary differential equations. Typically, problems utilize salt as the solute. In this modeling scenario, use of colored drink powder as the solute enables students to observe a color change as the mixing...

1074SBottleWaterFlow
17 Apr 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow from a container.

1073SWaterExitBottle
17 Apr 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow out of a cylindrical container.

6023SDroneHeadingHome
13 Apr 2017  Modeling Scenarios  Contributor(s):: Richard Spindler
You just received a new longrange helicopter drone for your birthday! After a little practice, you try a longrange test of it by having it carry a small package to your home. A friend volunteers to take it 5 miles east of your home with the goal of flying directly back to your home. So you...

3040SFirstPassageTime
07 Apr 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time with several applications.

3002SModelsMotivatingSecondOrder
30 Mar 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
We introduce several basic, but substantial, approaches to modeling the motion of a spring mass system using a standard second order, linear, constant coefficient differential equation obtained from Newton's Second Law of Motion and a Free Body Diagram. We do this using a set of data...

1122SSpreadPEV
28 Mar 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
We present data on world sales data of plugin electric vehicles (PEVs) and request a model on the rate of change in sales over time, leading to predection as to number of PEVs in the future.

3004SVanderPol
21 Mar 2017  Modeling Scenarios  Contributor(s):: Mark A. Lau Kwan
This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a wellknown nonlinear secondorder ordinary differential equation. The spreadsheet features a number of dynamic controls that permit the user to alter the parameters of the Van der Pol equation and explore the...

1014SDrainingContainers
17 Mar 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
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?''

3017SStackedCoffeeFiltersFalling
11 Mar 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
Data on free falling 2, 4, 6, and 8 stacked coffee filters is offered for analysis. Students first form a model using resistance terms. Parameters need to be estimated and models compared.

3110SMilitarySpringMassApplication
25 Feb 2017  Modeling Scenarios  Contributor(s):: Randy Boucher, Ivan Dungan
The project is a collection of five different scenarios regarding the shock system of a trailer; the first three are chronological and the latter two are optional independent scenarios. In the first two scenarios, students must compare three different shock absorbers (or shocks) for the trailer....

1037SCommonColdSpread
30 Nov 2016  Modeling Scenarios  Contributor(s):: Richard Corban Harwood
This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example. In groups, students run repeated simulations, collect data, derive a differential...

1052SSaltWaterTanks
27 Nov 2016  Modeling Scenarios  Contributor(s):: Brian Winkel
We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.