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    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation...

    Keywords: perturbationregular perturbationasymptotic expansionsanalytical approximationBernoulli equation

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    Vaccine Development and Testing
    Scientists have the tools and knowledge to develop safe, effective vaccines, from trials to vials. This resource addresses the process by which vaccines are designed, tested and regulated. Key...

    Keywords: immunology educationvaccine literacyvaccine hesitancy

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    Immunity and Vaccine Action
    From the cellular level on up, being aware of your interactions can help you stay safe. This resource addresses fundamental immunology and infectious disease concepts through a historical...

    Keywords: immunology educationvaccine literacyvaccine hesitancy

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    1-015-DimensionlessVariables-TechniqueNarrative
    This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to...

    Keywords: linearizationdimensional analysistime scalescalingdimensionless variablesspatial scale

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    7-006-LaplaceTransformBirth-TechniqueNarrative
    We present a way of introducing the Laplace Transform as the continuous analogue of a power series expression of a function.

    Keywords: Transformationspower series

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    5-012-LinearSystemConjecture-TechniqueNarrative
    Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing...

    Keywords: discovery learningconjecturesolutionsubstitution

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    5-010-MatrixExponential-TechniqueNarrative
    The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick...

    Keywords: matrix esponentialPutzer's Algorithmdiagonalizationeigenvalueseigenvectors

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    3-090-ChebyshevPolynomialSolution-TechniqueNarrative
    The Chebyshev equation is presented as a vehicle to view series solutions techniques for linear, second order homogeneous differential equations with non-constant coefficients.

    Keywords: series soluotionpolynomial solutionsChebyshev polynomialsChebyshev differential equations

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    2-005-LinearizeItAll-TechniqueNarrative
    Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form...

    Keywords: computationerrorTorricelli's Lawdata fittinglinear approximation

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    1-010-AtmosphericCO2Bifurcation-TechniqueNarrative
    Students are introduced to the concept of a bifurcation in a first-order ordinary differential equation (ODE) through a modeling scenario involving atmospheric carbon dioxide whish is taken as a...

    Keywords: carbon dioxideSurface Atmosphere Exchangebifurcationfold bifurcationsaddle node

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    Sequence Similarity: A Quick Introduction to Bioconductor
    Following the Sequence Similarity exercises by Kleinschmit, et al., this tutorial will guide students in using the Bioconductor suite of R packages to likewise compute sequence similarity.

    Keywords: bioinformaticssequencingNIBLSEmultiple sequence alignmentsequence similarityBLOSUM scoring matrixBioconductor

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    Conducting Analysis of Variance (ANOVA) in R with swirl
    This lesson offers an introduction to ANOVA, including 1) how this statistical test can be differentiated from others and 2) a step-by-step guide to conducting and interpreting ANOVA results in R,...

    Keywords: biostatisticsR programming languageSwirl

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    Learning with All Your Senses: Mathematical Manipulatives Enhance Student Comprehension of Biological Models
    Handout for a session presentation on kinesthetic learning at the 2019 BioQUEST & QUBES Summer Workshop

    Keywords: Models3D models3D printingmanipulativeskinesthetic learning

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    Investigating the footprint of climate change on phenology and ecological interactions in north-central North America
    Practice module included in Teaching Issues and Experiments in Ecology (TIEE) Volume 10

    Keywords: data analysisResources @ ESA - TIEEclimate changephenologyspecies diversityproblem setWorksheet

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    Investigating the footprint of climate change on phenology and ecological interactions in north-central North America
    Practice module included in Teaching Issues and Experiments in Ecology (TIEE) Volume 10

    Keywords: Resources @ ESA - TIEEclimate changephenologyspecies diversityproblem set

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    Learning Journal Assignment on Biofilms
    This is a learning journal assignment with constructive response questions on Biofilms which undergraduate students can complete with aid of reading a research article and listening to a podcast.

    Keywords: educationPodcastmicrobiologygenomicsUndergraduateAnalysisBioflimsLearning Journal Assignmet

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    Spotting Interactions: Spotted Salamanders, Beneficial Buffers, and Helpful Hydroperiods
    The purpose of this lesson is to help us better understand how we are able to conserve wetland-dependent wildlife. We will be exploring, manipulating, and analyzing data in R using a Poisson...

    Keywords: Poisson Distributionsalamandersvernal pools

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    COVID-19 Simulator (ISEE) Module
    This accessible module guides students through exploring the COVID-19 Simulator developed by ISEE. Students dig into the four scenarios provided (including the parameters and the graphs),...

    Keywords: mathematical modelingSTELLAInfectious Disease ModelingInterpreting Graphsinterpreting modelsCOVID19coronavirus

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    Climate Diagrams Mini-Case Study for Ecology
    This mini-case study provides undergraduate ecology students with experience in how to read climate diagrams and how to put them together. The activity includes a discussion of actual and potential...
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    Investigating human impacts on local Hawaiian stream ecology
    Students learn about stream ecology on the island of Hawaii using data available through USGS and University of Hawaii websites and develop an understanding for potential stream changes due to...

    Keywords: climateStream ecologyHawaii CountyTopographyMap ReadingRainfall

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