You are here: Home / Resources / Browse Resources

Open. Adaptable. Free.

Resources created by our members and partners.

The QUBES platform hosts hundreds of teaching materials, reference materials, and cloud-based software free to use and adapt using open Creative Commons licenses.

Text Search:
Applied Filters
    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

    229

    views

    114

    downloads

    0

    comments

    0

    adaptations

    2008-Luis_San_Andrés-Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
    Walk through the cases in context of second order linear constant coefficient differential equation with driving function

    Keywords: driving functionviscousmechanical system

    96

    views

    34

    downloads

    0

    comments

    0

    adaptations

    The Influence of Exotic Plant Invasion on Pollinator Abundance
    This lesson introduces two global change factors, natural habitat loss and exotic plant invasion, and analyzes how these stressors impact the biodiversity and abundance of pollinator species....

    Keywords: statisticsinvasion biologyecologyRStudioBiodiversityInvasive SpeciesPearson correlation coefficientgeneral linear modelsinvasive plantspollinatorsPopulation abundance

    829

    views

    465

    downloads

    0

    comments

    0

    adaptations

    2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients
    We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.

    Keywords: impulseGreen functionsinstructional exposition

    115

    views

    55

    downloads

    0

    comments

    0

    adaptations

    2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
    We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a...

    Keywords: exponential growthsolutionslinear systemsdecayconjecture

    125

    views

    31

    downloads

    0

    comments

    0

    adaptations

    1-059-ContainerShapeFallingWater-ModelingScenario
    We examine many different physical situations to determine the time it takes a fixed volume of water to flow out of different shape containers through the same size exit hole at the bottom of the...

    Keywords: containersTorricelli's Lawshapedischarge coefficient

    227

    views

    142

    downloads

    0

    comments

    0

    adaptations

    5-030-LinNonHomoSystemSol-TechniqueNarrative
    We offer strategies for solving linear systems of nonhomogeneous differential equations using a conjectured solution strategy for a system of constant coefficient, linear, n

    Keywords: strategiesdiscovery learningeigenvectorseigenvalue

    372

    views

    166

    downloads

    0

    comments

    0

    adaptations

    1-055-WaterFallingInCone-ModelingScenario
    We offer an opportunity to model the height of a falling body of water in a right circular cone (funnel) and to estimate an appropriate parameter based on data collected from a video of the...

    Keywords: Torricelli's Lawdischarge coefficientconecontraction coefficient

    215

    views

    198

    downloads

    0

    comments

    0

    adaptations

    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

    198

    views

    128

    downloads

    0

    comments

    0

    adaptations

    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

    373

    views

    130

    downloads

    0

    comments

    0

    adaptations

    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

    136

    views

    39

    downloads

    0

    comments

    0

    adaptations

    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

    2008

    views

    1236

    downloads

    0

    comments

    0

    adaptations

    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

    233

    views

    133

    downloads

    0

    comments

    0

    adaptations

    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

    755

    views

    171

    downloads

    0

    comments

    0

    adaptations

    Linear Regression (Excel) and Cellular Respiration for Biology, Chemistry and Mathematics
    Students typically find linear regression analysis of data sets in a biology classroom challenging. These activities could be used in a Biology, Chemistry, Mathematics, or Statistics course. The...

    Keywords: statisticsmathematicsdata analysisdatalinear regressionbiologyonlinegraphinglinear equationsQuantitative reasoningassessmentcollege algebracellstatistical analysisregressionOERAlgebrachemistryModelscorrelationSimple Linear RegressionMicrosoft Excellab activityexperimentCellular ProcessesATPqbccUsing Excelmanipulate equationsCellular and Molecular BiologyConcepts in Statisticsoxidationline of best fitexplaining statisticsusing statisticsCellular RespirationPredictionsRespirationgraphing in ExcelLinear CorrelationExothermic Reactioncreate scatter plotAdenosine Triphosphate (ATP)germinating peasPre-lab activityStudent activityHybridCollecting DataR-squareRegression ModelFunctionDependent VariablesIndependent VariablesLinear EquationLinear Equation in two variablescreate graphcreate equationcreate regressioncreate plotinterpret regressioninterpret data

    3919

    views

    1384

    downloads

    0

    comments

    0

    adaptations

    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

    198

    views

    96

    downloads

    0

    comments

    0

    adaptations

    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

    283

    views

    289

    downloads

    0

    comments

    0

    adaptations

    Oyster Restoration Success and Water Quality in the James and Rappahannock Rivers of Virginia
    This QUBES lesson uses statistical analysis to test whether or not oyster restoration sites in Virginia are successfully increasing the number of oysters and whether or not water quality is...

    Keywords: aquatic ecologymarine ecologyggplot2Pearson correlation coefficientSimple Linear RegressionnitrogenJames Rivertidyversechesapeake baywater qualityphosphorusharmful algae bloomsvirginia

    806

    views

    1051

    downloads

    0

    comments

    0

    adaptations

    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

    3529

    views

    1661

    downloads

    0

    comments

    0

    adaptations

    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

    202

    views

    296

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search