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    9-125-BeamModeling-ModelingScenario
    This modeling scenario examines the deflection of a cantilever beam under two different distributed loads. Students will have the opportunity to conduct experiments with their own cantilever beam...

    Keywords: Fluid MechanicsbeamcantileverimpulseLaplace transformboundary conditionfourth order

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    1-040-OutcomeSavings-ModelingScenario
    We ask students to build a model for a savings account and to determine the monthly deposit in a savings account in order meet a long term savings goal.

    Keywords: Pop_Growth Pilotsavingsgrowthdepositg

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    5-080-SpaceFlightRecolonize-ModelingScenario
    This project is a combination of differential equations, multi-variable calculus, and vector calculus with use of technology to model colonization of a new planet. Students solve a system of...

    Keywords: optimizationsum of square errorsvector calculusLagrange multipliersline integrals

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    4-055-ShatterWineGlass-ModelingScenario
    This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important?

    Keywords: frequencydampingamplituderesonanceoscillationshatteringwine glassbridgesaircraftexternal force

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    2007-Graham-Lerch-Parameter Recovery for a Differential Equation Model
    This article presents a project for a differential equations class using an inverse problem based on the second order differential equation that models and electrical circuit.

    Keywords: laboratorydata collectionRLC circuitinvers problemelectrical circuit

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    Using Undergraduate Molecular Biology Labs to Discover Targets of miRNAs in Humans
    Incorporating authentic research experiences into undergraduate labs, while shown to be particularly effective at engaging and retaining students in STEM majors, can be difficult to accomplish...

    Keywords: gene regulationmicroRNAsgene expression

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    Lesson VII - Synteny
    The lesson teaches about synteny or the order of genes along a chromosome, which is useful for looking at orthologous genes between two species or strains.

    Keywords: Bioinformatics Education

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    3-030-SecondOrderIntro-ModelingScenario
    We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and...

    Keywords: parameter estimationnon-homogeneousSpanishfrequencybuoyancyinverse problemthrustunderdampedfirst passagespring mash dashpotrealcomplexhomogeneoussuperpositionparachuteoverdampedcritically dampedbuoyquadratic equationrootsrocket flight

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    6-068-VisualizingPredator-PreyCycles
    In this modeling scenario, we propose a gentle introduction to limit cycles using nullcline analysis and a spreadsheet graphical approach via the fourth-order Runge-Kutta method. We will be...

    Keywords: nullclinespredator-preyGeometrypredatorRunge-Kuttapreylimit cycle

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    4-036-AltitudeDependentGravity-ModelingScenario
    When projectiles are way above Earth's surface gravity's changes become important when dealing with projectiles at high altitudes. We lay out an approach for such a case which is a second-order...

    Keywords: agravityprojectilelinearizationltitufealtitude

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    3-105-FrequencyResponse-ModelingScenario
    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.

    Keywords: transient dynamicscircuitspring massdriverfrequency responseamplitudesteady state

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    More In Depth Spreadsheet Management Adaptation of Data Management using NEON Small Mammal Data
    This adaptation consists of three exercises that introduce students to 1) format spreadsheet data tables, 2) carry out spreadsheet quality control, and 3) count/sort/filter data of interest in...

    Keywords: data managementspreadsheetsmammalsCapture mark-recapture

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    1-002-IntegratingFactor-TechniqueNarrative
    We develop a strategy to solve first order differential equations by transforming one side of the equation to the derivative of a product of two functions, thereby making it easy to...

    Keywords: Integrating Factor

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    2012-Transtrum-Qiu-Optimal experiment selection for parameter estimation in biological differential equation models
    We explore the question to what extent parameters can be efficiently estimated by appropriate experimental selection.

    Keywords: experimental designsystems biologyAssociation & Data Fittingreaction ratesdecay rates

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    Exploring the City of Biofilms: An Engaging Analogy-Based Activity for Students to Learn Biofilms
    Multicellular biofilms constructed by microbes are key aspects of microbiology with significant implications in various fields, including medicine, environmental science, and biotechnology. While...

    Keywords: bacteriaBiofilmsquorum sensing

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    3-110-MilitarySpringMassApplication-ModelingScenario
    The is a collection of different scenarios for the shock system of a trailer. In each scenario, students will transform the shock system of a trailer into a second-order differential equation,...

    Keywords: dampingresonancebeatsspring-mass systemLaplace TransfomDirac Delta function

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    Modeling Crop Rotation with Discrete Mathematics
    The module develops discrete mathematics models that allow for creation of crop rotation schedules meeting a variety of needs.

    Keywords: modulesustainabilitydiscrete mathematicsagricultureResources @ DIMACSResources @ QUBES - Teaching & Referencescienceexperiment

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    CRISPR/Cas9 in yeast: a multi-week laboratory exercise for undergraduate students
    Providing undergraduate life-science students with a course-based research experience that utilizes cutting-edge technology, is tractable for students, and is manageable as an instructor is a...

    Keywords: bioinformaticsPCRphenotypingCRISPR/Cas9gene editingcloningGenotypingRestriction enzyme

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    1-016-DogDrugs-ModelingScenario
    We offer a problem to determine the necessary drug administration in order to keep a dog sedated with specific information on half-life for an exponentially decaying presence of the drug in the body.

    Keywords: wild_dogsdrug discoveryhalf-lifepentobarbital sodiumanesthesia

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    Translocation of Nutrients in the Phloem: Dixon's Paradox
    This module introduces the Dixon equation in the context of understanding nutrient transport through sieve tubes. It is intended for an introductory biology audience.

    Keywords: plant physiologylinear regressionlinear equations

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