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    3-011-EulerBallThrowing-ModelingScenario
    If a tennis ball is thrown through the air it will 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...

    Keywords: codingdragonVectorsEuler's methodball

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    Machine Learning Meets Medicine with Jenessa Peterson
    Jenessa Peterson is a former teacher turned data scientist/engineer and Director of Learning Engineering at The Learning Agency. Her more recent work in data science has included building a...

    Keywords: data sciencemachine learningmedicine

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    3-050-CometOrbitalMechanics-ModelingScenario
    The broad goal of this activity is to use a basic numerical method to approximate the solution of an initial value problem. In this particular case, we will use Euler's method to help model the...

    Keywords: trajectorySpaceEuler's methodorbital mechanicscometorbit

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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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    4-065-GasInjection-ModelingScenario
    Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest...

    Keywords: Prandtl-Blasius equationsboundary layergas injectionesponential box schemeuniform convergenceFORTRAN

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    5-014-TwoSpringMass-ModelingScenario
    We ask students to build a Free Body Diagram for a vertical two mass situation in which the two masses are held fixed at the tip and at the bottom. The mass holds the springs together at the join...

    Keywords: massspring mass dampersprings

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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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    6-002-EulerCromerPendulum-ModelingScenario
    This activity introduces students to the concept of numerical stability. While modeling a simple pendulum, students compare performance of the semi-implicit Euler-Cromer method with Euler's method...

    Keywords: pendulumsemi-implicit methodsEuler-Cromernumerical solvers

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    6-024-DronePackageDelivery-ModelingScenario
    Students will derive a system of first order differential equations which describe the flight path of a drone delivering a package.

    Keywords: VectorsTrigonometryFlightdronesparametric curveImproved Euler MethodRunge-Kutta

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    6-029-TumorGrowth-ModelingScenario
    This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of...

    Keywords: Pop_Growth Pilotlogisticcomparmenttumorsynthetic datasum of squares error

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    3-080-PendulumModeling-ModelingScenario
    We lead students through building model for several pendulum configurations in motion and ask students to compare results.

    Keywords: pendulumperiodlinearization

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    3-150-ItsABlastFurnace-ModelingScenario
    This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.

    Keywords: steady stateheat equationinverse problemfurnace

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    3-069-HeatInBar-ModelingScenario
    The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches.

    Keywords: heat transferexperimentconductionconvectionboundary conditionsfinite volume method

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    3-095-ShotInWater-ModelingScenario
    This project uses Newton's Second Law of Motion in conjunction with a quadratic model for the resistance experienced by a bullet moving through water to analyze a classic action movie scene.

    Keywords: projectile motionterminal velocityprojectilewater resistancereduction of orderfrictionair resistance

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    1-037-CommonColdSpread-ModelingScenario
    This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more...

    Keywords: diseasecommon coldresidence hall

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    Electron Location, Location, Location: Understanding Biological Interactions
    Introductory Biology courses typically introduce the structure and function of biomolecules such as proteins and nucleic acids. To understand biomolecules fully, students require knowledge of...

    Keywords: hydrogen bondshydrophobicity/hydrophilicitypolar and non-polar covalent bonds

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    The Mathematics of Voting Systems: Plurality, Runoff and Ranked Choice
    In this five-day interdisciplinary math and social studies unit, students use math to create informed opinions about the three most common voting systems in the United States: plurality, runoff and...

    Keywords: mathematicsInterdisciplinary STEMInterdisciplinary Mathematics Educationinterdisciplinary math educationvoting

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    A Classroom Intervention to Reduce Confirmation Bias
    STEM students are often unable to recognize cognitive bias in their own disciplines, and simply describing cognitive bias to students has shown to be insufficient to improve critical thinking....

    Keywords: biasprocess of sciencemetacognitionConfirmation BiasCognitive Bias

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    Applying phylogenetic tree building in MEGA X to forensic applications for identifying unknown specimens
    This exercise is designed to guide a learner through the construction of phylogenetic trees as a means of addressing research questions in forensic science such as the identification of previously...

    Keywords: taxonomyBioinformatics and GenomicsDNA Barcodinginvertebrate phylogeneticsforensic entomology

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    "I Really Enjoy These Annotations:" Examining Primary Biological Literature Using Collaborative Annotation
    Critically reading and evaluating claims made in the primary literature are vital skills for the future professional and personal lives of undergraduate students. However, the formal presentation...

    Keywords: Stem cellsAdult neurogenesisCRISPR gene editing

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