
3105SFrequencyResponse
22 Jul 2020  Modeling Scenarios  Contributor(s):: Brian Winkel
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

3034SCarSuspensions
14 Jul 2020  Modeling Scenarios  Contributor(s):: Therese Shelton, Brian Winkel
We examine the springmassdashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a "quarter car'', meaning a single wheel.

3027SBobbingDropping
10 Jul 2020  Modeling Scenarios  Contributor(s):: Brian Winkel
We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.

1088SRoomTemperature
15 Jun 2020  Modeling Scenarios  Contributor(s):: Tracy Weyand
Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken). The main goal of this project is for students to set up...

1136SMarriageAge
11 Jun 2020  Modeling Scenarios  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 firstorder ordinary differential equations (which...

1128SRocketFlight
04 Jun 2020  Modeling Scenarios  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.

1124SWorldPopulation
30 May 2020  Modeling Scenarios  Contributor(s):: Lenka Pribylova, Jan Sevcik, Pavel Morcinek, Brian Winkel
We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be xySTitleStudentVersionCzech.

3026SSpringInverseProblem
29 May 2020  Modeling Scenarios  Contributor(s):: Brian Winkel
We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.

3031SSpringCost
28 May 2020  Modeling Scenarios  Contributor(s):: Brian Winkel
This is a situation where we are charged with analyzing costs for a spring to meet certain specifications.

6016SPandemicModeling
13 May 2020  Modeling Scenarios  Contributor(s):: Jue Wang
The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. The virus is spreading rapidly. Infectious disease modeling is an essential part of the effort to minimize the spread and help predict the likely course of an epidemic. How can we use...

1127SFishHarvestingStudentVersion
06 May 2020  Modeling Scenarios  Contributor(s):: Will Mitchell
We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not necessarily mathematicians).

5010SDNADegradation
21 Apr 2020  Modeling Scenarios  Contributor(s):: Brian Winkel
We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

6009SFakeNews
19 Apr 2020  Modeling Scenarios  Contributor(s):: Sarah Elizabeth Ritchey Patterson, Blain Patterson
In modern society, creating and disseminating information is easier than ever. While this allows access to information on unprecedented scales, the validity of the information can be difficult to determine. Clickbait, propaganda, misleading headlines, biased news outlets, and social media posts...

6045SCholeraTranmission
19 Apr 2020  Modeling Scenarios  Contributor(s):: Urmi GhoshDastidar
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

1126SMarriageMath
14 Apr 2020  Modeling Scenarios  Contributor(s):: Erdi KARA
We will explore a model which describes the process of entry into marriage by an individual. In the model, rate of change in the fraction of the cohort already married will be investigated along with two governing assumptions; social pressure experienced by unmarried individual increases as...

3015SStyrofoamBallFall
24 Mar 2020  Modeling Scenarios  Contributor(s):: Brian Winkel
We are given data on a falling Styrofoam ball and we seek to model this motion.

3063SFallingBuildingIce
07 Mar 2020  Modeling Scenarios  Contributor(s):: Brian Winkel
We model the fall of a piece of ice which is falling from a high building in New York City.

5077SMandMAttritionWarfare
23 Feb 2020  Modeling Scenarios  Contributor(s):: Lukasz Grabarek
Students will model attrition between two opposing forces using m&m candies. Through experiment and data collection, students will determine the parameters describing the fighting strength of each force, solve the system, arrive at Lanchester's Nsquare Law and use it to analyze a...

5015SRunnerSynchronize
13 Jan 2020  Modeling Scenarios  Contributor(s):: Eli E Goldwyn
The goal is for students to practice finding and classifying equilibria of a onevariable system in this modeling context while also introducing variables defined on a restricted domain (the circle).

1116STropicalStormWindspeeds
12 Jan 2020  Modeling Scenarios  Contributor(s):: Terrance Pendleton
We model the decay of tropical cyclone winds once a storm makes landfall. We use data from two recent storms from the National Hurricane Center to estimate parameters emanating from a differential equation model.