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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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    6-010-SocialCampaign-ModelingScenario
    The epidemic modeling problem is formulated as a system of three nonlinear, first order differential equations in which three compartments (S, I, and R) of the population are linked.

    Keywords: diseasegrowth rateJudgment and Decision MakingSIR modelinfections diseasesocial campaignrecovery ratedelay timejoining processquitting processexponential distribution

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    9-005-InvasiveSpeciesModel-ModelingScenario
    This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their...

    Keywords: Invasive Specieslogisticmigrationtraveling wavesdispersion

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    Cell Cycle and Mitosis
    This module introduces activities that allow students to walk through the cell cycle and mitotic cell division processes. As part of the activities, students learn about and apply knowledge of...

    Keywords: introductory biologyQuantitative reasoningInterdisciplinary STEMquantitative biologyinterdisciplinaryquantitative skillscell functioncell cyclemitosisCell DivisionMitotic Indexcalculating meanstumorNIQBC2. Data and GraphsC4. mathematical modelsC3. Statistical Analysisstandard errormitotic phaseinterphase

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    2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
    Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide...

    Keywords: infectious diseasepVector-Borne Diseaselagueplague

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    1-038-Ebola-ModelingScenario
    Students will use data published by the World Health Organization to model the 2014 outbreak of the Ebola virus in West Africa. We begin with a simple exponential growth model and move through the...

    Keywords: population dynamicsdata analysisexponential growthEbolalogisticepidemic

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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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    Instructor Solutions Second Edition SIMIODE Textbook HTML Version
    This is material we make available for instructors teaching a modeling-first approach to differential equations when using the Second Edition of SIMIODE Textbook, Differential Equations: A Toolbox...

    Keywords: textbookhtmlSIMIODE textbookSecond Edition

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    5-026-Evictions-ModelingScenario
    In this project, students develop two SIS models to study eviction trends in a population of non-homeowner households using an actual eviction rate. Students can calculate solutions, sketch the...

    Keywords: carrying capacitycompartmentevictionhomeownerSIS modelhomelessness

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    9-002-GroundWaterFlow-ModelingScenario
    The goals of this project are to compare a conceptual one-dimensional groundwater flow model to observations made in a laboratory setting, and to discuss the differences.

    Keywords: sgroundwater flowDarcy's Lawheat equationaquiferhydraulic headFourier's Lawsand tank

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    3-130-MatterOfSomeGravity-ModelingScenario
    This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation.

    Keywords: gravityinverse problemacceleration

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    1-005-OilSlick-ModelingScenario
    We describe a modeling activity with difference and differential equations which enlightens students on the model building process and parameter estimation for a linear, first-order,...

    Keywords: model fittingspreadsheetsSpanishderrame de petróleodatosexpansiónoil slick

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    1-028-SouthernSweetIcedTea-ModelingScenario
    We offer raw data collected from a webcam and a thermometer for evaluating the strength of steeping tea. We ask students to build a mathematical model using the data to predict how long the tea...

    Keywords: dataNewton's Law of Coolingteasweet tea

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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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    1-071-NewtonWatson-ModelingScenario
    Sherlock Holmes determines the time of death for a body found on a street in London and we need to reproduce his astute analysis

    Keywords: temperaturedeathNewton's Law of Coolingtime of deathSherlock Holmes

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    1-073-WaterExitBottle-ModelingScenario
    We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow out of a cylindrical container.

    Keywords: datawaterflowTorricelli's Lawbottle

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    1-101-ClassMMDeathImmigration-ModelingScenario
    We offer students an opportunity to generate unique data for their team on a death and immigration model using m&m's and then pass on the data to another student team for analysis with a model they...

    Keywords: simulationimmigrationdata collectiondeath

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    1-111-SpreadOfInformation-ModelingScenario
    Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model culminating with...

    Keywords: datalogisticracismprejudicemisinformationmemesspreaddisinformationinformationliesGoogle Trendscoinspennies

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    1-137-SheepGraze-ModelingScenario
    In this activity, students will apply graphical analysis (such as phase lines) to determine the long-term predictions of a differential equation model for pasture grass using two different formulas...

    Keywords: herbivoreplantphase linesbifurcationoverexploitationsheepgraze

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    1-139-PlantsVsHerbivores-ModeliongScenario
    In this activity, students will apply a variety of techniques for analyzing nonlinear systems (e.g., nullclines, linearization, and technologies for drawing phase portraits) to study...

    Keywords: ecologynullclinesherbivoreplant-herbivore interactionsplantlinearization

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