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    2017-Jean-Roux-Mathematical Models in Air Quality Problems
    Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.

    Keywords: air pollution effects on forest ecosystemsfinite volume methodboundary layerchemical kineticsfinite differenceemissionsdepositionsadvection

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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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    9-001-SkinBurnModelNumericalMethods-TechniqueNarrative
    The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Numerical methods play an important role in solving these.

    Keywords: Maternal-Fetal interfaceheat equationConservation of Energytheat fluxEuler's forward methodcentral differenceskin burnhyperthermiathermal conductivitylayers

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    2014-Brun-EtAl-An introduction to the mechanics of the lasso
    Here, we study the mechanics of the simplest rope trick, the Flat Loop, in which the rope is driven by the steady circular motion of the roper’s hand in a horizontal plane.

    Keywords: bifurcationmotionlassorod modelrodeo

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    2012-Nokkaew-EtAl-Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm
    This paper presents a double layer genetic algorithm (DLGA) to improve performance of the information-constrained parameter estimations.

    Keywords: optimizationalgae growthgenetic algorithmssimulated dataconvergence of parameters

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    Plate Tectonics: GPS Data, Boundary Zones, and Earthquake Hazards (Project EDDIE)
    Students work with high precision GPS data to explore how motion near a plate boundary is distributed over a larger region and hypothesize the area over which boundary-related earthquake hazards...
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    9-152-HorizontalBeam-ModelingScenario
    This scenario is designed to lead students to discover a differential equation that models the vertical deflection of a horizontal beam under different boundary conditions.

    Keywords: Polynomial dynamical systembeamcantilever

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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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    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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    Using Digitized Collections-Based Data in Research: A Hands-On Crash Course in Ecological Niche Modeling
    Step-by-step, hands-on instruction on ways to access and download these specimen data, how to process climate layer data, and how to apply Maxent software to construct ecological niche models.

    Keywords: ecology labbiodiversity informaticsnatural history collectionsMicrosoft Excelbiodiversity collectionsRstatsecological niche modelingQGISENMToolsMaxent

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    1-061-SingularPerturbation-TechniqueNarrative
    This paper introduces the basics of singular perturbation methods for solving ordinary differential equations. Interactive examples will show how the smallness of physical parameters can...

    Keywords: perturbationsingular perturbation

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    9-015-UnearthingTruth-ModelingScenario
    This project introduces \textit{electrical resistivity tomography}, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical...

    Keywords: geophysicalImagingStatistical inverse problemtunnelconductionHolocaustVilniusDivergence TheoremfluxLaplace's equationimpedanceelectrical resistivity tomographytomographyresistivity

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    1969-Carl_Metzler-A mathematical model for the pharmacokinetics of LSD effect
    Contains data on performance scores vs. plasma levels of LSD in human tissues.

    Keywords: LSDtestingpharmacokineticsperformanceplasma level

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    STEM as Culture: Exploring exclusion and inclusion in mathematics and biology
    This is a paper given as a plenary lecture at the second CalcConf in Bergen, Norway, June 2023. The paper explores how marginalization in society & living between worlds becomes a superpower in...

    Keywords: calculusbiocalculusrule of fivemarine biologyco2Microagressionsmauna keamauna loafeministtestimonioindigenous epistomologyanzalduagutierrezdisciplinary microaggressions

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    1992-CHF_Bulte-The differential equation of the deflection curve
    This paper presents the derivation and physical meaning of the general fourth-order linear differential equation (with sectionally continuous derivatives) of the deflection curve and its general...

    Keywords: beamdeflectionshear forcebending momentcritical loadnatural frequency

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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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    Water Movement through a Membrane: The Van't Hoff Equation
    This module introduces the van't Hoff equation in the context of understanding the metabolic activity of the epithelial cells lining the stomach. It is intended for an introductory biology audience.

    Keywords: AlgebraInequalitiesCellular Processes

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    Leaf litter and soil invertebrates
    The diversity of invertebrates occupying the leaf litter and organic layer of soil can be quantified to examine abiotic and biotic questions. This lab can be used as a starting point for a...
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    2014-Jiri_Lebl-Notes_on_Diffy_Qs_Differential_Equations_for_Engineers
    There is a pdf and html version of the text as well as a purchasable paperback version. The text has pretty much all the basics, but has only a few exercises and there is very little modeling.

    Keywords: differential equationstextbookengineering

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    9-030-WaterHammer-ModelingScenario
    We develop and apply a numerical algorithm that solves a system of two nonlinear partial differential equations (PDEs) that describes the time evolution of the water hammer phenomenon.

    Keywords: Stock and Flow modelhyperbolic equationsfinite differenceswater hammerhydrodynamicscompressibilitywave celerity

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