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Modeling Scenarios feed

  1. 1-124-S-WorldPopulation

    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 x-y-S-Title-StudentVersion-Czech.

  2. 3-026-S-SpringInverseProblem

    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.

  3. 3-031-S-SpringCost

    28 May 2020 | Modeling Scenarios | Contributor(s):: Brian Winkel

    This is a situation where the student is a young tech staff member in a company and is charged with anlyzing costs for a spring to meet certain specifications.

  4. 6-016-S-PandemicModeling

    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...

  5. 1-127-S-FishHarvesting-StudentVersion

    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).

  6. 6-009-S-FakeNews

    19 Apr 2020 | Modeling Scenarios | Contributor(s):: Blain Patterson, Sarah Petterson

    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...

  7. 6-045-S-CholeraTranmission

    19 Apr 2020 | Modeling Scenarios | Contributor(s):: Urmi Ghosh-Dastidar

    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...

  8. 1-126-S-MarriageMath-StudentVersion

    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...

  9. 3-015-S-StyrofoamBallFall

    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.

  10. 3-063-S-FallingBuildingIce

    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.

  11. 5-077-S-MandMAttritionWarfare

    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 N-square Law and use it to analyze a...

  12. 5-015-S-RunnerSynchronize

    13 Jan 2020 | Modeling Scenarios | Contributor(s):: Eli E Goldwyn

    The goal is for students to practice finding and classifying equilibria of a one-variable system in this modeling context while also introducing variables defined on a restricted domain (the circle).

  13. 1-116-S-TropicalStormWindspeeds

    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.

  14. 3-071-S-WirelessTelegraphy

    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 in-class part we analyze the solutions found at...

  15. 1-114-S-EarthClimate

    09 Dec 2019 | Modeling Scenarios | Contributor(s):: Terrance Pendleton

    In this modeling scenario, we investigate the Earth's climate using a zero-dimensional 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...

  16. 3-087-S-ThanosPopulationDynamicsInteractingSpecies

    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...

  17. 3-061-S-ChemEng

    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 x-y-S-Title-StudentVersion-Spanish.

  18. 9-020-S-HeatDiffusion

    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...

  19. 1-087-S-ThanosPopulationDynamics

    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...

  20. 10-001-S-TilingHallway

    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...