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    5-090-SolidParticleErosion-ModelingScenario
    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...

    Keywords: classical mechanicssolid mechanicsNewton's Laws of Motionrigid bodyplasticitypittingductile surface

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    1-145-FastPitch-ModelingScenario
    We consider the problem of comparing pitch velocities using measurement methods in different eras of baseball.

    Keywords: Measurementresistanceair resistancebaseballpitcherfast

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    4-039-FallingDarts-ModelingScenario
    we develop, solve, and analyze a second order differential equation model for free fall incorporating air resistance. Students solve the model using two methods -- reduction of order and...

    Keywords: optimizationresistanceterminal velocitymuzzle velocitydrag coefficientfree fallair drag

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    1-127-FishHarvesting-ModelingScenario
    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...

    Keywords: Management Of Dataoptimal controlfisherieslogisticharvestingmaximum sustainable yield

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    3-099-PullBack-ModelingScenario
    We guide students through the development of an empirical model for the velocity and distance traveled of a simple pull-back toy. Students can record videos and extract data using their own...

    Keywords: dynamicspull-back toy

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    Parabolas Everywhere?
    In this lesson students will use mathematical models to describe real-world objects and to gain better understanding of quadratic functions.
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    Case Study — World records as measures of senescence or randomness
    This is a project meant to accompany the Case Study that Carl Bergstrom, which uses R to explore whether declining track and field world record performance could be an artifact of sample size (less...

    Keywords: RRStudioprogrammingsampling distributionProbability & Statisticsrandomnesscontinuous probability distribution

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    Enzyme Kinetics: How Quickly Can Acetylcholinesterase Break Up Your Thoughts?
    This module contains exercises designed to help upper-level cell biology students understand the common graphical methods used to evaluate enzyme activity and to see the impact of inhibitors on...

    Keywords: cell biologyQuantitative reasoninginterdisciplinarylinear modelsInterpreting GraphsNIQBC2. Data and GraphsC4. mathematical modelsnonlinear models

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    6-005-InsectColonySurvivalOpt-ModelingScenario
    We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number...

    Keywords: optimizationOptimal Control Theoryinsect colonyoptimal controlnatural resourcesPointryagin's Maximum Principlecontrol variable

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    2012-José_Sérgio_Domingues-Gompertz Model - Resolution and Analysis for Tumors
    The main objective of this paper is to use the Gompertz equation in order to study the development of blood irrigated solid tumors, using parameters defined in some important bibliographic...

    Keywords: tumorGompertz equationgrowth tumor

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    2006-Matt_MacWilliams-Developing ODEs to Describe the Motion of a Paper Helicopter
    This paper attempts to create a model that describes the motion of a paper helicopter using engineering, physical and statistical knowledge.

    Keywords: experimental designhelicopter

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    1-025-MixingItUp-ModelingScenario
    Students build three different models for levels of salt in a tank of water and at each stage the level of complexity increases with attention to nuances necessary for success.

    Keywords: compartmentsalttankmixing

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    1989-R_Blickhan-Spring Mass Model For Running-Hopping
    A simple spring—mass model consisting of a massless spring attached to a point mass describes the interdependency of mechanical parameters characterizing running and hopping of humans as a function...

    Keywords: spring massjumpjumping

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    1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
    This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market...

    Keywords: Optimal Control Theoryadvertisingsales

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    1-092-DashItAll-ModelingSenario
    This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. We derive the classic Hill-Keller model for a sprinter exerting...

    Keywords: datarunningsprintHill-Kellerworld recordOlympics

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    1-116-TropicalStormWindspeeds-ModelingScenario
    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...

    Keywords: hurricanedecaytropical stormcyclones

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    1-119-DairyFarming-ModelingScenario
    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...

    Keywords: population dynamicsdairyfarmers' marketsgrowthcow

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    3-045-RampBounce-ModelingScenario
    Students build two projectile motion models (1) a one-dimensional model for a vertically falling ball from a fixed distance until it hits an inclined ramp and (2) a two-dimensional projectile...

    Keywords: projectile motioninclined rampcoefficient of restitutionoptimal anglebounce

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    Choosing healthy data for healthy relationships: how to use 5-point summaries, box and whisker plots, and correlation to understand global health trends.
    This module utilizes a user-friendly database exploring data selection, box-and-whisker plot, and correlation analysis. It also guides students on how to make a poster of their data and conclusions.

    Keywords: Querying databasesgraphingRatiosdata typesstatistical learningcorrelationBox Plotsqbcchealth sciences education researchnutrition & food scienceUnderstanding ratesCreate graphsInterpret graphsinterpret tablesHealth ScienceConcepts in Statisticsexplaining statisticsusing statistics

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    The Insect Predation Game
    Laboratory experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 4 The main learning objective of this module was to tie together what students had learned during the...

    Keywords: simulationpredator-preypredation ecology

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