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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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    GSD QUBES Resource Draft (1)
    This QUBES module is focused towards AP Environmental studies courses. It includes hypothesis testing, transect sampling, Shannon Diversity Index, and scatter plot and bar graph creation in excel.

    Keywords: Community EcologyField researchspidersMicrosoft ExcelShannon diversity index

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    2018-Akman-EtAl-Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization
    We demonstrate Particle Swarm Optimization efficacy by showing that it outstrips evolutionary computing methods previously used to analyze an epidemic model.

    Keywords: epidemicParticle Swarm Optimizationoptimize parameters

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    1999-T_Chen-HL_He-GM_Church-S_Shafer-Modeling Gene Expression with Differential Equations
    The paper proposes and give great detail for a differential equation model for gene expression with two methods for constructing the model from a set of temporal data.

    Keywords: gene expressiongenekineticgene translationgene transcription

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    1992-John_Mathews-Bounded population growth-a curve fitting lesson
    The purpose of this article is to present two methods for fitting the logistic curve to data supplied by the U. S. census bureau.

    Keywords: datalogisticlinearizationfitting

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    2016-Simon_Malham-Differential_Equations_and_Linear_Algebra
    This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential...

    Keywords: textbooklinear algebraLaplace transform

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    A discussion on SARS-CoV-2 wastewater surveillance efforts with Amanda Cauble
    In this episode of LWS, we had Amanda Cauble, an associate engineer at Central San. She discusses what Central San is and the methods of surveilling SARS-CoV-2 in wastewater. This talk was recorded...

    Keywords: disease surveillanceSARS-CoV-2wastewater

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    1-024-MalariaControl-ModelingScenario
    This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations.

    Keywords: population dynamicsmalariaPolicyDecision-makingEuler's methodpharmacokineticsmosquitoimproved Euler's methodHuen's methodUS Army

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    Save the Bees, Ditch the Plow: A lesson exploring how squash bee abundance is affected by varying levels of soil disturbance.
    The purpose of this lesson is to explore the effects that three varying degrees of soil disturbance has on the squash bee abundance that is observed. We will learn about the importance of...

    Keywords: beesmutualismpollinatorscommunity-based conservationno till farmingreduced tillage

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    Bacteria Transformation
    TeachEngineering resource in which students construct paper recombinant plasmids to simulate the methods genetic engineers use to create modified bacteria.

    Keywords: bacteriaengineeringGMOsbacterial transformationplasmids

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    DataONE Module 02: Data Sharing
    Data sharing in the context of the data life cycle, the value of sharing data, concerns about sharing data, and methods and best practices for sharing data.

    Keywords: Data Discovery RCNmoduledatain-class activityHandoutproblem setdata managementDataONEPresentation

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    Globally endangered sea turtles of the Palmyra Atoll National Wildlife Refuge: A Focus on Scientific Analysis
    in this exercise students will make suggestions for designing a comprehensive research program, use survey data, critically analyze results, and devise methods for study.

    Keywords: case study

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    ABO Blood Group Frequencies
    An Excel workbook in which students can calculate blood type frequencies through different approaches (Hardy-Weinberg, quadratic formula, and the EM algorithm). The workbook shows the formulas...

    Keywords: Hardy-WeinbergExcelResources @ ESTEEMblood type frequencies

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    Teacher Guide: Math and Statistics
    Topics include measures of average (mean, median, and mode), variability (range and standard deviation), uncertainty (standard error and 95% confidence interval), Chi-square analysis, student...

    Keywords: Resources @ HHMI - BioInteractiveStatistics and Mathteacher guide

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    Science and Society: Integrating Historical Science Materials Into an Undergraduate Biology Course
    Vision and Change in Undergraduate Biology Education (American Association for the Advancement of Science, 2011) stresses the importance of fostering an understanding of the relationship between...

    Keywords: infectious diseasevaccinationbacteriavirusesantibiotics

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    2008-Brewer-EtAl-Fitting ordinary differential equations to short time course data
    In this paper, we present a survey of existing algorithms and describe the main approaches. We also introduce and evaluate a new efficient technique for estimating ODEs linear in parameters...

    Keywords: time seriesEvaluation SPLINEgeneleast squaresbifurcation

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    2011-Steven_Desjardins-Remi_Vaillancourt-Ordinary_Differential_Equations_Laplace_Transforms_and_Numerical_Methods_for_Engineers
    This text is packed with worked out presentations, problems, and exercises (with solutions) and MatLab code. There is sufficient detail and attention to topics to more than address interests/needs...

    Keywords: modelingtextbookmatlabengineeringLaplace transform

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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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    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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    Globally endangered sea turtles of the Palmyra Atoll National Wildlife Refuge: A Focus on Scientific Analysis
    Based on the sea turtle case, students will (1) work on a worksheet by analyzing existing survey data, (2) conduct a literature review of two relevant research, and (3) draft a proposal for a...

    Keywords: sea turtle conservationliterature reviewResearch methodsProposal writingPalmyra Atoll

    1989

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