
1066SUSCensusModeling
15 Sep 2017  Modeling Scenarios  Contributor(s):: Jean Marie Linhart
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled.

1094SSteepingTea
12 Sep 2017  Modeling Scenarios  Contributor(s):: Eric Sullivan, Jesica Bauer, Erica Wiens
In this activity, we provide photographs of the steeping process for a fruit tea steeped in hot water. Students build a differential equation model for the steeping process and do parameter estimation using the color of our tea as a way to measure relative concentration of the tea oils in...

1091SSlopefields
04 Sep 2017  Modeling Scenarios  Contributor(s):: Ben Dill, Holly Zullo
Students will gain experience writing differential equations to model various population scenarios, they will create slope fields to view the solution curves using software, and they will discuss the behavior of the solution curves. In this activity, students are introduced to the concepts of...

1115SModelingWithFirstOrderODEs
04 Sep 2017  Modeling Scenarios  Contributor(s):: Michael Grayling
Several models using first order differential equations are offered with some questions on formulating a differential equations model

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
We model the amount of drink powder in a second tank of a two tank flow system.

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?''