What's New:

Modeling Scenarios feed

  1. 1-119-S-DairyFarming

    20 Sep 2020 | Modeling Scenarios | Contributor(s):: Rob Krueger

    A simple first order population growth model is presented.  The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.

  2. 9-002-S-GroundWaterFlow

    31 Aug 2020 | Modeling Scenarios | Contributor(s):: Jeremy Christman, Michael Karls, Kenneth H. Luther

    The goals of this project are to compare a conceptual one-dimensional groundwater flow model to observations made in a laboratory setting, and to discuss the differences. We derive the initial groundwater flow equation, and guide students through a solution. We describe the laboratory set up and...

  3. 1-096-S-OpAmpDifferentiator

    09 Aug 2020 | Modeling Scenarios | Contributor(s):: Virgil Ganescu

    In this validation-oriented setup, the output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and the results are compared with the data acquired from analyzing the numerical...

  4. 3-105-S-FrequencyResponse

    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.

  5. 3-034-T-CarSuspensions

    14 Jul 2020 | Modeling Scenarios | Contributor(s):: Therese Shelton, Brian Winkel

    In this modeling activity, students examine the spring-mass-dashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is...

  6. 3-034-S-CarSuspensions

    14 Jul 2020 | Modeling Scenarios | Contributor(s):: Therese Shelton, Brian Winkel

    We examine the spring-mass-dashpot 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.

  7. 3-027-S-BobbingDropping

    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.

  8. 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...

  9. 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...

  10. 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.

  11. 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.

  12. 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.

  13. 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.

  14. 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...

  15. 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).

  16. 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...

  17. 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...

  18. 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...

  19. 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...

  20. 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.

Footer - a work in progress.