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
    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

    336

    views

    224

    downloads

    0

    comments

    0

    adaptations

    6-018-ExploringSIRModel-ModelingScenario
    Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to...

    Keywords: population dynamicssensitivitydiseaseSIR modelsepidemicrumors

    203

    views

    155

    downloads

    0

    comments

    0

    adaptations

    3-085-SimplePendulum-ModelingScenario
    Thestudent is asked to derive and solve a differential equation that gives the position (angle

    Keywords: Newton's Second Law of Motionpendulumkinetic energypotential energyConservation of Energytinitial conditionssmall angle approximationTaylor polynomialpercent error

    168

    views

    81

    downloads

    0

    comments

    0

    adaptations

    Fostering Student to Student Collaboration Across Institutions in a Protein Centric CURE
    Collaboration is an essential component of research because it allows scientists to share expertise and tackle difficult scientific questions. While many undergraduate science courses include...

    Keywords: communicationBiochemistrycollaborationCUREhypothesisStudent to StudentInter institutionalProtein CentricAssignments

    930

    views

    305

    downloads

    0

    comments

    0

    adaptations

    Understanding Gastric Acid Secretion: An Active Learning Approach
    The human digestive system is a diverse network of cells, tissues, and organs that is regulated by systemic (e.g., nervous and endocrine systems) and local factors (e.g., secretions, pH, and the...

    Keywords: diseasesignal transductionAcid SecretionAutonomic Nervous SystemEndocrineGastric PhysiologyGPCRHistology of Gastric Pit

    1077

    views

    528

    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

    347

    views

    163

    downloads

    0

    comments

    0

    adaptations

    1-001-SepartionOfVariables-TechniqueNarrative
    We discuss strategies to solve first order, ordinary differential equations with mathematical models when the variables may be separated.

    Keywords: solutionsstrategymethodapplications

    472

    views

    174

    downloads

    0

    comments

    0

    adaptations

    A Pandemic Pivot: Podcast as an Active Engagement Tool in the Classroom and Beyond
    Higher education in STEM undoubtedly integrates the use of technology as a primary mode for content delivery to undergraduate students. This became especially salient throughout the shift to online...

    Keywords: VaccinesReplication of virusesCOVID-19 transmission

    2107

    views

    161

    downloads

    0

    comments

    0

    adaptations

    1-095-RatingChessPlayers-ModelingScenarios
    The goal of this activity is to have students build a mathematical model involving a system of first order difference equations from a verbal description of a scenario.

    Keywords: simulationchessElo's methodchess rating

    211

    views

    152

    downloads

    0

    comments

    0

    adaptations

    3-092-WirelessPower-ModelingScenario
    We present an engineering application (wireless power transmission) modelled by a coupled system of two linear second-order differential equations with constant coefficients. One equation is...

    Keywords: DESMOSwireless power transmissionelectric circuitsKirchhoff's Voltage Law

    372

    views

    219

    downloads

    0

    comments

    0

    adaptations

    6-067-LotkaVolterra-ModelingScenario
    This modeling scenario guides students through the process of fitting the Lotka-Volterra model of two differential equations to a real time series observational data. Students use the capabilities...

    Keywords: time seriesdatacompetitionLotka-Volterramodel fittingpredictiongauseRexperimental

    352

    views

    99

    downloads

    0

    comments

    0

    adaptations

    1-131-CaffeineElimination-ModelingScenario
    We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the...

    Keywords: caffeineeliminationpharmacokineticsdrug

    115

    views

    29

    downloads

    0

    comments

    0

    adaptations

    1-015-Torricelli-ModelingScenario
    We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the...

    Keywords: dataSpanishtankcolumn of waterapertureTorricelli's LawConservation of EnergytSolverwater flowExcel Solver

    351

    views

    814

    downloads

    0

    comments

    0

    adaptations

    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

    175

    views

    212

    downloads

    0

    comments

    0

    adaptations

    5-001-LSD-ModelingScenario
    We describe the use of a two compartment model of a linear system of first order linear differential equations to model lysergic acid diethylamide (LSD) in the body. We provide the data from the...

    Keywords: LSDSpanishcompartmentpharmacokineticslysergic acid diethylamide

    1077

    views

    5234

    downloads

    0

    comments

    0

    adaptations

    1-070-FisheryHarvest-ModelingScenario
    Students model with logistic growth, harvesting, and diffusion in analyzing ocean fisheries of the Atlantic cod. We help students build models, ever more complex, to capture physical realities. At...

    Keywords: logisticDiffusionmanagementharvestfishery

    1094

    views

    1227

    downloads

    0

    comments

    0

    adaptations

    3-065-UpDown-ModelingScenario
    We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and...

    Keywords: terminal velocityNewton's Second Law of Motionvelocitymotionapex

    1073

    views

    582

    downloads

    0

    comments

    0

    adaptations

    7-011-CoupledSystemLaplace-ModelingScenario
    Differential equations and Laplace transforms are an integral part of control problems in engineering systems. We consider a baby warming device.

    Keywords: transfer functionpolycarbonatebaby heatercoupled systemheating

    326

    views

    208

    downloads

    0

    comments

    0

    adaptations

    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

    683

    views

    138

    downloads

    0

    comments

    0

    adaptations

    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

    432

    views

    235

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search