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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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    3-020-ChordPathTime-ModelingScenario
    Using Newton's Second Law of motion we can determine the time it takes for a mass to slide along a chord of a vertical circle from high point to any point along the circle. Initially, the result is...

    Keywords: Unit CirclepathfallinggravitychordNetwon's Second Law of Motion

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    Examining human impacts on tusk evolution in elephants using authentic research data
    In this activity students explore and analyze real, authentic research data paired with HHMI’s “Selection for Tuskless Elephants” video in a hands-on investigation of human impacts on elephant...
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    1981-Nielsen-Rosenfeld-Substantive Interpretations of Differential Equation Models
    The use of differential equations models to study social processes has been increasing rapidly. There are, however, ambiguities in the interpretation of the parameters of these models.

    Keywords: sociologypoliticsintragenerational mobilitypolitical mobility

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    1981-Nielsen_Francois-Rachel_Rosenfeld-Substantive_Interpretations_of_Differential_Equation_Models
    The interpretation of parameters of dynamic models is illustrated with reference to research on two substantive topics: political mobilization and intragenerational mobility.

    Keywords: differential equationsdynamical systemsFirst order linearintragenerational mobilitypolitical mobilizationmobility

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    1994-Paul_Davis-Asking Good Questions about Differential Equations
    A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.

    Keywords: questionspopulationnumericalphysical contextgraphicalalgebraicIreland

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    BioGrapher
    BioGrapher is an Excel front-end for the AT&T GraphViz graphical visualization and layout package (http://www.graphviz.org/).

    Keywords: network theorygraph theoryphylogenetic trees

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    Figure of the Week: Applied Statistics for Wildlife Research
    Students use their number sense to make observations and explain or guess at patterns shown, discussing at the start of a weekly computer lab. This slide deck focuses on figures related to concepts...

    Keywords: statisticsgraphsmath anxietyWildlife Biologymath attitudesInterpreting Graphssense of belongingfear of negative evaluation

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    Knowing your own: A classroom case study using the scientific method to investigate how birds learn to recognize their offspring
    Understanding the scientific method provides students with a necessary foundation for careers in science-related fields. Moreover, students can apply scientific inquiry skills in many aspects of...

    Keywords: scientific methodNatural Selectionbrood parasitism

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    1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation
    For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not...

    Keywords: sum of square errorsleast squarespharmacokineticslineteicscompartmental modelsdirect search

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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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    2006-Thomas_Lingefjard-Faces of mathematical modeling
    In this paper I will discuss and exemplify my perspectives on how to teach mathematical modeling, as well as discuss quite different faces of mathematical modeling.

    Keywords: teaching modeling

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    Effects of Laptop Use on Student Learning
    Resource from the 2015 BioQUEST Summer Workshop

    Keywords: classroomcurriculumlecture slidescourselaptopstudent learningsyllabusin-class activity

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    Developmental Allometry: Scaling in Growth
    This Excel workbook illustrates a number of allometric equations in animal growth. The workbook also calculates an allometric equation with graphical output for data entered by the user.

    Keywords: allometrybrain developmentSkeletal Systemmetabolic rate

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    2005-Saifullah-Mathematical Modeling With Differential Equations
    This article aims to provide the students some basic modeling skills, which will have applications to a wide variety of problems.

    Keywords: species interactionsword equationinteractive software

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    Curvature and Maximum Permissible Speeds
    In this activity students will compute the curvature of a section of commuter rail and use it to determine a safe speed at which a train should can round the corner without tipping or derailing....

    Keywords: data analysiscalculusnumerical approximationengineeringcalculus 3transportation

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    2-001-NumericalMethodsComparisons-TechniqueNarrative
    This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and...

    Keywords: Euler's methodimproved Euler's methodRK3 methodsRK4 methodsorder of accuracyabsolute errorCPU time

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    Using Synthetic Biology and pClone Red for Authentic Research on Promoter Function: Introductory Biology (identifying new promoters)
    Students often memorize the definition of a transcriptional promoter but fail to fully understand the critical role promoters play in gene expression. This laboratory lesson allows students to...

    Keywords: bacteriasynthetic biologygene regulationtranscriptionstudent researchcentral dogmacloningpromoterreporter gene/protein

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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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    2002-Faia-Differential Equation Modeling as a Source of Theoretical Insight-Four Disparate Examples
    We explore differential equations involving alcoholism, social mobility, excess female mortality, and international arms competition.

    Keywords: sociologyarms racesaccumulative advantagealcoholismPeter Principlefemale mortalitypopulation pressureoccupational mobilitysocial mobilityRichardson theory of war

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