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Modeling Scenarios feed

  1. 5-025-S-SaltCompatments

    19 Jul 2019 | Modeling Scenarios | Contributor(s):: Brian Winkel

    Model a phenomena in which salt mixtures from two tanks are mixed using several strategies.

  2. 1-001d-S-HotelPopulationDecay

    03 Jul 2019 | Modeling Scenarios | Contributor(s):: Dina Yagodich

    We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

  3. 1-001c-S-PopulationDecayThenSome

    18 Jun 2019 | Modeling Scenarios | Contributor(s):: Dina Yagodich

    This is an adaption of Modeling Scenario 1-001-S-MandMDeathAndImmigration  in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.

  4. 3-067-S-RLCSeriesCircuit

    28 Apr 2019 | Modeling Scenarios | Contributor(s):: Virgil Ganescu

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

  5. 1-107-S-ClothDry

    27 Apr 2019 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We build a mathematical model for the rate at which drying takes place in a cloth wet with water while hanging in air. A model can be based on underlying physical principles. Such a model is called an analytic model. Or your model could be based on observations and reasoned terms in your...

  6. 5-090-S-SolidParticleErosion

    27 Mar 2019 | Modeling Scenarios | Contributor(s):: Rich Laverty

    By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges material from a more ductile surface. Examination of the solution will yield a formula for the...

  7. 1-109-S-EmployeeAttrition

    25 Mar 2019 | Modeling Scenarios | Contributor(s):: Lyle Clifford Smith

    This scenario models the loss of employees and the employer's attempt to retain them through stock options. This is intended for introductory students and is paired well with exponential growth/decay material. We also introduce the 5% rule to sort possible factors into assumptions and...

  8. 1-125-S-DiceyPopulations

    04 Mar 2019 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We offer students an opportunity to generate unique data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the parameters and try to explain how the simulation...

  9. 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...

  10. 1-143-S-PopulationModelVariationsMATLAB

    17 Feb 2019 | Modeling Scenarios | Contributor(s):: Bill Skerbitz

    Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations.  They will also work with other utilities...

  11. 3-009-S-BallDropInWater

    16 Dec 2018 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.

  12. 1-063-S-ThreeHoleColumn

    15 Dec 2018 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.

  13. 3-043-S-BallisticModeling-SpongeDart

    20 Nov 2018 | Modeling Scenarios | Contributor(s):: Jean Marie Linhart, Peter Howard

    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance. The first two models are based respectively on the common simplifying assumptions of no air resistance and...

  14. 6-065-S-InternetPlatformUsers

    30 Oct 2018 | Modeling Scenarios | Contributor(s):: Victoria Rayskin

    A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical system. The model will illustrate how the question of existence of closed orbits can be investigated....

  15. 6-011-S - HumansVsZombies

    25 Oct 2018 | Modeling Scenarios | Contributor(s):: Hope McIlwain

    In this activity, students will analyze the SIR differential equations model in the context of a zombie invasion of a human population. First the students will analyze a two equation system representing only two populations, humans and zombies. Then a new population, the recovered zombies, will...

  16. 6-010-S-SocialCampaigns

    23 Sep 2018 | Modeling Scenarios | Contributor(s):: Hyunsun Lee

    Mathematical epidemic models are crucial tools to understand, analyze, predict, and control infectious diseases. The Susceptible-Infected-Recovered (SIR) model is a basic compartment model, describing how an infectious disease propagates through a population. The problem is formulated as a...

  17. 6-024-S-DronePackageDelivery

    18 Sep 2018 | Modeling Scenarios | Contributor(s):: Eric Stachura, Robert Krueger

    In this scenario, students will begin by carefully reading through the problem statement and uncovering which information is useful. Students will derive a system of differential equations which describe the flight path of a drone delivering a package. Techniques used to derive the analytical...

  18. 6-019-S-EnablingEpidemicExploration

    17 Sep 2018 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We offer several strategies for estimating parameters in models of epidemics, one using a Michaelis-Menten saturation infected rate.

  19. 1-062-S-BacterialGrowth

    15 Sep 2018 | Modeling Scenarios | Contributor(s):: Arati Nanda Pati

    We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches andusing EXCEL spreadsheet. In this particular modeling scenario, we know the exact solution and want to see how various models predict our expectations. We have used...

  20. 6-006-T-ZombieGameHvZ

    09 Sep 2018 | Modeling Scenarios | Contributor(s):: Jue Wang

    Invented in 2005, Humans vs. Zombies, or HvZ, is a game of tag, predominantly played at US college campuses. In this activity, students use systems of non-linear differential equations to model the HvZ game. Standard SIR and SIRS models are introduced to guide students as they set up the...