
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):: Blain Patterson, Sarah Elizabeth Ritchey 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.

3071SWirelessTelegraphy
20 Dec 2019  Modeling Scenarios  Contributor(s):: Gabriel Nagy
This project has three parts, the first part to be done at home, the last two parts in class. In the home part we recall how to solve second order, linear, differential equations with constant coefficients and simple source functions. In the first inclass part we analyze the solutions found at...

1114SEarthClimate
09 Dec 2019  Modeling Scenarios  Contributor(s):: Terrance Pendleton
In this modeling scenario, we investigate the Earth's climate using a zerodimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth from solar radiation, emission of radiation to outer space, and Earth's...

3087SThanosPopulationDynamicsInteractingSpecies
06 Dec 2019  Modeling Scenarios  Contributor(s):: Blain Patterson, Sarah Elizabeth Ritchey Patterson
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

3061SChemEng
27 Nov 2019  Modeling Scenarios  Contributor(s):: Eric Stachura, Tamara Lozano
Chemical and biomedical applications of differential equationsSPANISH LANGUAGE VERSION We have placed in Supporting Docs a Spanish version of this Student Modeling Scenario. Name will be xySTitleStudentVersionSpanish.

9020SHeatDiffusion
14 Oct 2019  Modeling Scenarios  Contributor(s):: Kimberly Spayd, James Puckett
This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

1087SThanosPopulationDynamics
07 Oct 2019  Modeling Scenarios  Contributor(s):: Sarah Elizabeth Ritchey Patterson, Blain Patterson
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

10001STilingHallway
12 Sep 2019  Modeling Scenarios  Contributor(s):: Rob Krueger, Eric Stachura
Students will investigate difference equations through the context of tiling hallways. Students will observe patterns in the tiling which will lead to a difference equation model. Solutions will be calculated by iteration. Then students will be introduced to the concept of the shift...

1111SSpreadOfInformation
02 Sep 2019  Modeling Scenarios  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...

1092SDashItAll
01 Sep 2019  Modeling Scenarios  Contributor(s):: Kurt Bryan
This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. The model is driven by data from the world record race of Usain Bolt in the 2008 Beijing Olympic games. In particular, we derive the classic HillKeller model for a...

1084SGoingViral
31 Aug 2019  Modeling Scenarios  Contributor(s):: Bill Skerbitz
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation. Finally, students solve the...

3064SGearTrain
31 Aug 2019  Modeling Scenarios  Contributor(s):: Lukasz Grabarek
In this scenario students will model an inputoutput mechanical system of gears with a second order, nonhomogeneous, ordinary differential equation with constant coefficients. The model incorporates friction and moments of inertia of the gear train components. Students should have some...