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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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    1-150-CancerTherapy-ModelingScenario
    This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the...

    Keywords: population dynamicsphage therapyexponential growthcancerwater treatmentdecaysurgery

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    1-160-HeartDeathRate-ModelingScenario
    Students simulate experience from a given data set which represents the heart death rate during the period 2000 - 2010 using several approaches to include exponential decay, difference equation,...

    Keywords: dataheart death rate

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    1-190-IntroClass-ModelingScenario
    Students go through development of ideas in mathematical modeling with differential equations. They encounter fundamental ideas of unlimited population growth, limited population growth and a...

    Keywords: population dynamicspredator-preylogisticexponentialgraphical interpretationsqualitative analysis

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    6-012-RiverCrossing-ModelingScenario
    Students develop a model of a river crossing in a boat with thrust using Newton's Second Law of Motion from a Free Body Diagram they construct. The model is thence a system of one second order...

    Keywords: dragonNewton's Second Law of Motionriver crossinriver currentvelocity profilethrustFree Body Diagram

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    9-020-HeatDiffusion-ModelingScenario
    This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular,...

    Keywords: laboratoryDiffusionheat

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    5-020-ParacetamolAbsorption-ModelingScenario
    We offer drug absorption data on paracetamol, an analgesic pain reliever, for two different sets of patients, vegetarian and non-vegetarian. Students build a two compartment model for plasma and...

    Keywords: paracetamolanalgesicvegetariannon-vegetarian

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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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    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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    4-023-MysteryCircuit-ModelingScenario
    Students to build a system of differential equations which model a circuit. We give each student a unique input voltage frequency parameter and ask for system response (gain) to that input as a...

    Keywords: filterscircuitRLC circuitKirchhoffvoltagegaindriver

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    9-012-PDEGuitarTuning-ModelingScenario
    We lead students through a derivation of a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation, and then play it on...

    Keywords: extensionsine wavesfrequencyguitardampingFourierstringtuning

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    1-006-Financing-ModelingScenario
    We describe two situations, one in which we are saving for a purpose and one in which we are borrowing for a purpose. In the first case we ask for discrete and continuous model of the situation...

    Keywords: financesavingsloaninterest ratepayment

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    Exploring the population dynamics of wintering bald eagles through long-term data
    Exploring long-term population data through graphical and statistical means Practice module included in Teaching Issues and Experiments in Ecology (TIEE) Volume 7

    Keywords: Resources @ ESA - TIEEcase studypopulation ecologyendangered speciesconservation biologymigration ecology

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    Visualization: Quantitative reasoning via image analysis, networks, topology, generative models, and 3D rendering
    Resource from the 2015 BioQUEST Summer Workshop
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    Learning Quantitative Genetics: Investigation of Genetic Control for Cold Stress Response in Plants
    Course-embedded undergraduate research experiences (CUREs) for students have been shown to increase students’ understanding of the process of science, affirm their scientific identity, and...

    Keywords: data analysisrecombinationplantsquantitative geneticsabiotic stress responsegenetic control of complex traitsinheritance of complex traits

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    3-071-WirelessTelegraphy-ModelingScenario
    This project has three parts, (1) done at home, (2) and (3) in class. In (1) we recall how to solve second order differential equations with constant coefficients and simple source functions. In...

    Keywords: bRLC circuitresonancebeatscurrentwireless telegraphyLC circuit

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    SNAPSHOT SERENGETI: Analyzing Wildlife Ecological Relationships in an upper-level Ecology course
    Two assignments were created to develop skills in ecological hypothesis testing, data analysis and interpretation using the Snapshot Serengeti and Gorongosa camera trap data and graphical...

    Keywords: hypothesis testinggraphical analysis and interpretationsavannah biomeecological relationshipscompare and contrast to primary literature

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    Engaging Undergraduates in Mechanisms of Tubular Reabsorption and Secretion in the Mammalian Kidney
    If students fail to see the connections among physiological systems, they can become overwhelmed with the amount of information they need to learn. Some students have particular difficulty with the...

    Keywords: OsmosisActive transportMass flowRenal reabsorptionRenal secretionTransport across membranes

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    Teaching Genetic Linkage and Recombination through Mapping with Molecular Markers
    Most introductory genetics courses cover genetic linkage, a core concept in the CourseSource genetics learning outcome framework. Although it is a classical genetics topic, genetic linkage remains...

    Keywords: meiosisphenotypegel electrophoresismicrosatellitesBanding PatternGenetic linkageInheritanceMolecular MarkersPhysical Linkage

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    1-027-StochasticProcesses-ModelingScenario
    We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution...

    Keywords: VarianceMeanstochasticrandomoperations researchindustrial engineeringPoisson processtraffic

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