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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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    3-075-RLCCircuits-ModelingScenario
    We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.

    Keywords: resistancecircuitvoltageinductancecapacitancecurrentKirchhoff's Law

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    Redox Chemistry and Coral Bleaching
    Mapping coral bleaching using NOAA data to set the stage for reviewing redox chemistry concepts

    Keywords: ecologyResources @ HHMI - BioInteractiveclimateScientific ProcessStatistics and Mathearth and environmenthuman impacts

    2016

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    Computational Biology using R
    This is an introductory level course on computational biology.

    Keywords: simulationmoduleRcourseprojectsolutions

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    Comparative Landscape Ecology Project using RStudio Cloud (Project EDDIE)
    This modified version incorporates the use of RStudio Cloud for easier remote instruction, and culminates in an exploratory project comparing the influence of patch metrics on vegetation health for...
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    2004-Hill-Lozowski-Sampson-Experiments on ice spikes and a simple growth model
    We observed ice-spike growth using time-lapse digital photography, using two water types in two different containers.

    Keywords: iceice spikebulk heat transfermass conservation

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    2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
    The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear...

    Keywords: instructional designeigenvalueseigenvalue analysis

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    3-040-FirstPassageTime-ModelingScenario
    We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first...

    Keywords: oscillatordampedunderdampedfirst passagefirst passage timespring mash dashpot

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    3-060-DataToDifferentialEquation-ModelingScenario
    Students use knowledge of second-order linear differential equations in conjunction with physical intuition of spring-mass systems to estimate the damping coefficient and spring constant from data.

    Keywords: Association & Data Fittingmassspring-mass systemspring\total distancenumerical differentiation

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    4-036-AltitudeDependentGravity-ModelingScenario
    When projectiles are way above Earth's surface gravity's changes become important when dealing with projectiles at high altitudes. We lay out an approach for such a case which is a second-order...

    Keywords: agravityprojectilelinearizationltitufealtitude

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    4-039-FallingDarts-ModelingScenario
    we develop, solve, and analyze a second order differential equation model for free fall incorporating air resistance. Students solve the model using two methods -- reduction of order and...

    Keywords: optimizationresistanceterminal velocitymuzzle velocitydrag coefficientfree fallair drag

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    4-035-ParEstSteadyState-ModelingScenario
    Students estimate parameters in a second order, linear, ordinary differential equations through analysis of the steady state solution. By applying a driver we can collect data in terms of the...

    Keywords: driversteady statesum of square errors

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    An Introduction to Statistical Learning: with Applications in R
    This book provides an introduction to statistical learning methods and is aimed for upper level undergraduate students, masters students and Ph.D. students in the non-mathematical sciences.

    Keywords: linear regressiontextbookclassificationcourseclustering coefficientR programming languagestatistical learningmachine learninglogistic regressionresamplingmodel selectionGeneralized additive modelsdecision treesprincipal components analysisMOOCResources @ QUBES - Teaching & Reference

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    Effect of Florida Surface Temperatures Over The Past Four Decades on the Frequency and Intensity of Florida Hurricanes and Tropical Storms
    Tropical storms and hurricanes bring strong winds and heavy rainfall with the capability of destroying entire cities when these storms break landfall. Warm ocean waters are required to produce...

    Keywords: hurricane

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    Using the Project Eddie Module “Paleoclimate and Ocean Biogeochemistry” in the Upper-Division Undergraduate Course “Climate and the Earth System”
    Students explore and compare datasets on modern nutrient concentrations and productivity, as well as paleo datasets to try to answer the question: “How does primary productivity influence global...

    Keywords: BiogeochemistryPaleoclimatepleoceanographygeochemistry

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    HSI - Student Research Journal - Vol.1 Issue 3 - Fall 2020
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 1 - Issue 3 - Fall 2020...

    Keywords: scientific methodscience education

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    Home sweet home for warblers: Graphing and Analysis using R
    This resource expands on the Data Nugget "Trees and bushes, Home Sweet Home for Warblers". The analyses and graphing is done in R and there are questions that ask about the management implications.

    Keywords: graphingCommunity Ecologydata interpretationR software

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    Permeability of Molecules
    This module introduces Overton's Rule in the context of understanding the permeability of molecules across the cell membrane. It is intended for an introductory biology audience.

    Keywords: linear regressionPermeabilityCell StructureCell MembraneOpenStaxphospholipid membranelog-log plotsOverton's rule

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    Calculating Lifetime Cancer Risk Resulting from DNA Replication
    An expanded case study adapted from an HHMI Data Point on Cell Division and Cancer Risk using Figure 1 from Tomasetti, C. and Vogelstein, B. (2015).

    Keywords: cancerScientific ProcessStatistics and MathScientific Methodologybiology of cellscell growth and divisionHigh School

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    Bacteria to Brains in Backyard Coyotes: An Interdisciplinary Pedagogical Case Study
    Our interdisciplinary pedagogical case study explores the differences between rural and urban coyotes at the levels of organismal and community ecology. The focus is on how coyotes’ gut...

    Keywords: dietanimal behaviorimmune systemmicrobiomeNervous systemgut-brain axisImmunoReachdysbiosisCoyoteCytokines

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