-
1-119-S-DairyFarming
20 Sep 2020 | | Contributor(s):: Rob Krueger
A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.
-
1-136-S-MarriageAge
11 Jun 2020 | | Contributor(s):: Tracy Weyand
Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. This model comes from a paper by Hernes and, in this project, is compared to another model used by Coale.These models are first-order ordinary differential equations (which...
-
1-128-S-RocketFlight
04 Jun 2020 | | Contributor(s):: Brian Winkel
We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its fall to earth.
-
1-111-S-SpreadOfInformation
02 Sep 2019 | | Contributor(s):: Jeff Pettit
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model which can be compared to predicted data, measured data, and modeled data. Part 3 can require students to move from...
-
1-001d-S-HotelPopulationDecay
03 Jul 2019 | | Contributor(s):: Dina Yagodich
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.
-
2010-Clementi-DelCiello-Hart Modeling Disease
10 Sep 2017 | | Contributor(s):: Brian Winkel
Del Ciello, Sarah, Jack Clementi, and Nailah Hart. 2010. Modeling Disease – FinalReport. http://educ.jmu.edu/~strawbem/math_201/final_reports/Clementi_DelCiello_Hart_Final.pdf . Acessed 8 September 2017.Abstract: This paper models the progression of a disease through a set population...
-
1-059-S-ContainerShapeFallingWater
22 Nov 2016 | | Contributor(s):: Brian Winkel
We examine many different physical situations to determine the time it takes a fixed volume of water to flow out of different shape containers through the same size exit hole at the bottom of the container.
-
1-001B-S-MAndM-DeathImmigrationMystery
27 Jun 2016 | | Contributor(s):: Brian Winkel
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...
-
1977-MackeyGlass-Oscillation and Chaos in Physiological Control Systems
26 Jun 2015 | | Contributor(s):: Michael C. Mackey, Leon Glass, William Clark
Mackey, Michael C. and Leon Glass. 1977. Oscillation and Chaos in Physiological Control Systems. Science. 197: 287-289.Article Abstract: First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of...
-
1-009-S-ICUSpread
02 Jun 2015 | | Contributor(s):: Brian Winkel
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 1958-1974.
-
1-006-S-FinancingSavingsAndLoans
31 May 2015 | | Contributor(s):: Brian Winkel
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...
-
1-005B-S-ChemDataCollection
30 May 2015 | | Contributor(s):: Brian Winkel
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...
-
1-005A-S-ChemDataCollection
30 May 2015 | | Contributor(s):: Brian Winkel
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 when...
-
1-005A-S-OilSlick
30 May 2015 | | Contributor(s):: Karen Bliss
-
1-005-S-OilSlick
30 May 2015 | | Contributor(s):: Brian Winkel
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 ...
-
1-004-S-MicroorganismImmigration
30 May 2015 | | Contributor(s):: Brian Winkel
We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.
-
1-003-S-CollegeSavings
12 May 2015 | | Contributor(s):: Brian Winkel
We present a modeling opportunity for students in which they have to plan and model for saving for a child's complete college education.
-
1-002-S-Tossing
11 May 2015 | | Contributor(s):: Brian Winkel
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 ...