What's New:

Modeling Scenarios feed

  1. 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...

  2. 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).

  3. 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.

  4. 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...

  5. 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...

  6. 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...

  7. 3-061-S-ChemEng

    27 Nov 2019 | Modeling Scenarios | Contributor(s):: Eric Stachura, Tamara Lozano

    Chemical and biomedical applications of differential equations

  8. 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...

  9. 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...

  10. 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...

  11. 1-111-S-SpreadOfInformation

    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...

  12. 1-092-S-DashItAll

    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 Hill-Keller model for a...

  13. 1-084-S-GoingViral

    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...

  14. 3-064-S-GearTrain

    31 Aug 2019 | Modeling Scenarios | Contributor(s):: Lukasz Grabarek

    In this scenario students will model an input-output mechanical system of gears with a second order, non-homogeneous, ordinary differential equation with constant coefficients. The model incorporates friction and moments of inertia of the gear train components. Students should have some...

  15. 9-015-S-UnearthingTruth

    28 Aug 2019 | Modeling Scenarios | Contributor(s):: Kurt Bryan

    This project introduces electrical resistivity tomography, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical current. Specifically, a known electrical current is injected into an object (for example, the earth) and...

  16. 1-083-S-FallingMeteorites

    24 Aug 2019 | Modeling Scenarios | Contributor(s):: Lyle Clifford Smith

    After introducing the solution to the ordinary differential equation which models a falling object with drag (first-order, non-linear, separable), students will consider generalizing the model to a falling and disintegrating meteorite. The focus is on creative identification of factors. Students...

  17. 1-082-S-MirrorMirror

    21 Aug 2019 | Modeling Scenarios | Contributor(s):: Kurt Bryan

    This project models the ``Foucault Knife Edge Test,'' an optical test commonly used by amateur astronomers who make their own mirrors for reflecting telescopes. The goal of the test is to estimate the shape of the surface of a mirror from optical reflection data. The model results in a...

  18. 9-010-S-TravelingWaves

    21 Aug 2019 | Modeling Scenarios | Contributor(s):: Eric Stachura

    In this scenario, students will be taken through a traveling wave analysis of a porous medium model. While the starting point is a nonlinear partial differential equation (PDE) model, after a change of variables, students are led quickly to an ordinary differential equation (ODE) model....

  19. 3-011-S-EulerBallThrowing

    19 Aug 2019 | Modeling Scenarios | Contributor(s):: Chris McCarthy

    If a tennis ball is thrown through the air it will eventually hit the ground due to gravity. Using Euler's method, write a short script (Python, Matlab, R, etc.) to find the trajectory of the ball which will maximize the distance the ball lands from the thrower taking into account air...

  20. 5-002-S-PhasePortraitForRelationshipDynamics

    15 Aug 2019 | Modeling Scenarios | Contributor(s):: Lawrence C Udeigwe

    The different possible dynamics of a two-person romantic relationship are modeled -- as a linear two dimensional system of equations -- and analyzed. Students are guided to explore how the mathematical model of one relationship type can be obtained by modifying the mathematical model of another....