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    Case Study - Storks vs Babies
    This is a R project based on the Robert Matthews paper Storks vs Babies. The idea is to replicate the results of the paper, learn a bit about R for linear fits and graphing and explore correlation...

    Keywords: Recologycase studyRStudiopopulation ecologybirdsreplicationcorrelationfunnycalling bullpvaluecausationbiostatsalternative explanationconfounding variables

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    3-110-MilitarySpringMassApplication-ModelingScenario
    The is a collection of different scenarios for the shock system of a trailer. In each scenario, students will transform the shock system of a trailer into a second-order differential equation,...

    Keywords: dampingresonancebeatsspring-mass systemLaplace TransfomDirac Delta function

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    3-045-RampBounce-ModelingScenario
    Students build two projectile motion models (1) a one-dimensional model for a vertically falling ball from a fixed distance until it hits an inclined ramp and (2) a two-dimensional projectile...

    Keywords: projectile motioninclined rampcoefficient of restitutionoptimal anglebounce

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    Human Activity and Soil Hostility
    The composition of soil can be broken down to a mixture of both abiotic and biotic matter. This composition can include animal waste, minerals, water, and even air. The complex nature of soil...

    Keywords: soil science

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    Exploring global reef health and human population using correlation and simple linear regression
    In this lesson, students will explore the relationship between reef cover and human disturbance. Students will manipulate a large dataset and perform normality tests, data transformations,...

    Keywords: population dynamicshumanlinear regressionconservationcorrelationRestorationcoral reefs

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    A Phenology-focused CURE using Herbarium Specimen Data
    10-week course-based undergraduate research experience in which students conduct novel research on the effects of climate on phenological events (e.g., flowering) of a plant species using publicly...

    Keywords: phenologyScientific ProcessCURE

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    Peek into Plant Diversity using Herbarium Specimens (Online!)
    This exercise introduces herbarium specimens and how they are used for research. Students contribute to specimen "digitization" using the citizen science platform Notes from Nature, and they work...
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    Linkage Analysis
    This Excel workbook simulates a linkage analysis problem with up to four alleles. Based on the offspring produced by a multihybrid testcross, the user builds a model of the gene order,...

    Keywords: recombinationlinkage analysis

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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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    3-075-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

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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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