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  1. 1-088-S-RoomTemperature

    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...

  2. 1-136-S-MarriageAge

    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 first-order ordinary differential equations (which...

  3. 1-128-S-RocketFlight

    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.

  4. 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.

  5. 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.

  6. 3-031-S-SpringCost

    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.

  7. 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...

  8. 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).

  9. 5-010-S-DNADegradation

    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...

  10. 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...

  11. 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...

  12. 1-126-S-MarriageMath

    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...

  13. 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.

  14. 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.

  15. 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...

  16. 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).

  17. 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.

  18. 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...

  19. 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...

  20. 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...

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