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  1. 1-065-S-Algal Blooms

    26 Jul 2016 | Modeling Scenarios | Contributor(s): Richard Corban Harwood

  2. 1-066-S-USCensusModeling

    15 Sep 2017 | Modeling Scenarios | Contributor(s): Jean Marie Linhart

    The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled.

  3. 1-067-S-ModelingWithSigmoidCurves

    18 Aug 2018 | Modeling Scenarios | Contributor(s): Natali Hritonenko

    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape. The assignment contains two opposite, but related tasks:...

  4. 1-068-S-WaterBottleCooling

    14 Aug 2019 | Modeling Scenarios | Contributor(s): Eli E Goldwyn

    The scenario uses an Inquiry Based Learning approach to walk the students through the creation and understanding of a differential equation describing how fluid in a water bottle will change its temperature to approach the ambient temperature in a room. The goal is for the students to understand...

  5. 1-070-S-FisheryHarvest

    08 Dec 2015 | Modeling Scenarios | Contributor(s): Wandi Ding

  6. 1-071-S-NewtonWatsonTimeOfDeath

    28 Aug 2017 | Modeling Scenarios | Contributor(s): Brian Winkel

    Sherlock Holmes determines the time of death for a body found on a street in London and we need to reproduce his astute analysis.

  7. 1-073-S-WaterExitBottle

    17 Apr 2017 | Modeling Scenarios | Contributor(s): Brian Winkel

    We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow out of a cylindrical container.

  8. 1-074-S-BottleWaterFlow

    17 Apr 2017 | Modeling Scenarios | Contributor(s): Brian Winkel

    We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow from a container.

  9. 1-076-S-ClimateBifurcation

    08 Aug 2019 | Modeling Scenarios | Contributor(s): Mayer Humi

    In this paper we present (for educational purposes) simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations from the present Earth climate to an ice age or a ``Venus type of climate.'' The models are accompanied by Matlab.

  10. 1-077-S-RLMSimSeriesCircuit

    03 Mar 2019 | Modeling Scenarios | Contributor(s): Virgil Ganescu

    In this validation-oriented setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using Multisim) of the circuit. This is compared to...

  11. 1-079-S-HomeHeating

    30 Jan 2018 | Modeling Scenarios | Contributor(s): Kurt Bryan

    This project concerns the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return? Both scenarios are analyzed in a series of exercises.

  12. 1-080-S-Drug Administration

    16 Feb 2016 | Modeling Scenarios | Contributor(s): Brian Winkel

  13. 1-081-S-TumorGrowth

    09 Jun 2018 | Modeling Scenarios | Contributor(s): Ryan Miller, Randy Boucher

    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth. Students use technology to solve the Gompertz model and answer a series of questions...

  14. 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...

  15. 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...

  16. 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...

  17. 1-085-S-DrugBolus

    03 Jul 2016 | Modeling Scenarios | Contributor(s): Brian Winkel

  18. 1-086-S-MedicinalPill

    31 Aug 2017 | Modeling Scenarios | Contributor(s): Brian Winkel

    Administration of a medicinal pill in single and multiple doses is modeled.

  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. 1-089-S-SpreadOfDisease

    15 Aug 2018 | Modeling Scenarios | Contributor(s): Shinemin Lin

    In this project we use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel.