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
    1-009-Bifurcation-TechniqueNarrative
    We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as...

    Keywords: bifurcationqualitative behaviorbifurcation diagram

    309

    views

    116

    downloads

    0

    comments

    0

    adaptations

    8-002-TrigSumRepresentation-TechniqueNarrative
    Students discover how to represent functions as sums of trigonometric functions and the value of such representations in many fields. This is an introduction to the study of Fourier Series.

    Keywords: estimationTrigonometryTrigonometric Functionssum of square errorsfinite sumFourier seriesFouriere sumspectrumapproximatiopn

    361

    views

    687

    downloads

    0

    comments

    0

    adaptations

    1-005-NavigatingNumericalMethods-TechniqueNarrative
    This technique narrative is a discovery-based approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of...

    Keywords: Euler's methodTaylor's Methodsearch and rescueCoaast Guardlost at sealongitudelatitudelimit definition

    417

    views

    429

    downloads

    0

    comments

    0

    adaptations

    1-003-IntroNumericalMethods-TechniqueNarrative
    We develop elementary approaches to numerically solving first order differential equations with Euler's Method, Improved Euler's Method and develop these geometrically to compute numeric solutions...

    Keywords: analytic solutionEuler's methodimproved Euler's method

    323

    views

    155

    downloads

    0

    comments

    0

    adaptations

    1-002-IntegratingFactor-TechniqueNarrative
    We develop a strategy to solve first order differential equations by transforming one side of the equation to the derivative of a product of two functions, thereby making it easy to...

    Keywords: Integrating Factor

    450

    views

    195

    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

    505

    views

    193

    downloads

    0

    comments

    0

    adaptations

    1-097-SwimmingPool-ModelingScenario
    This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods.

    Keywords: concentrationcchlorinenumerical errorswimming poolhorineerreor

    338

    views

    205

    downloads

    0

    comments

    0

    adaptations

    1-087-ThanosPopulationDynamics-ModelingScenario
    In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this...

    Keywords: logisticexponentialpopulationThanos

    438

    views

    137

    downloads

    0

    comments

    0

    adaptations

    1-034-T-FishMixing-ModelingScenario
    This activity gives students a chance to build the underlying differential equation and/or difference equation for a mixing problem using tangible objects (fish) and a student-designed restocking...

    Keywords: simulationfishFishingmixingrestocking

    502

    views

    342

    downloads

    0

    comments

    0

    adaptations

    1-033-SouthernBarbeque-ModelingScenario
    We offer raw data collected from two thermometers used in the smoking process of Southern barbecue. One thermometer measures the temperature inside of the smoke chamber and the other measures the...

    Keywords: nonlinear regressionlogisticNewton's Law of Cooling-Warmingbarbecue

    274

    views

    343

    downloads

    0

    comments

    0

    adaptations

    1-029-ConeToCubeFlow-ModelingScenario
    An inverted right circular cone with a hole at the bottom is suspended above an open-topped cube which also has a hole in the center of the bottom. The cone is filled with water and we model...

    Keywords: waterflowTorricelli's Lawconecube

    353

    views

    228

    downloads

    0

    comments

    0

    adaptations

    1-028-SouthernSweetIcedTea-ModelingScenario
    We offer raw data collected from a webcam and a thermometer for evaluating the strength of steeping tea. We ask students to build a mathematical model using the data to predict how long the tea...

    Keywords: dataNewton's Law of Coolingteasweet tea

    304

    views

    293

    downloads

    0

    comments

    0

    adaptations

    1-022-SpreadOfTechnologies-ModelingScenario
    We examine plots on the spread of technologies and ask students to estimate and extract data from the plots and then model several of these spread of technologies phenomena with a logistic...

    Keywords: data analysistechnologylogisticspreadinnovation

    312

    views

    246

    downloads

    0

    comments

    0

    adaptations

    1-023-RumorSpread-ModelingScenario
    We use a newspaper report on the spread of a rumor based on shares of articles on the Internet over a 5 day period to demonstrate the value of modeling with the logistic differential equation.

    Keywords: Internetlogisticspreadrumors

    311

    views

    185

    downloads

    0

    comments

    0

    adaptations

    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

    365

    views

    229

    downloads

    0

    comments

    0

    adaptations

    1-021-FeralCatControl-ModelingScenario
    Students act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use of...

    Keywords: population growthcontrolferal catspopulation controlneutertrap-killtrap-neuter-return

    313

    views

    248

    downloads

    0

    comments

    0

    adaptations

    1-020-IceMelt-ModelingScenario
    We offer up the claim of a store catalog that its ice ball mold allows users to ``. . . make ice balls that outlast cubes and won't water drinks down.'' We ask students to build a mathematical...

    Keywords: sphereicemeltcube

    308

    views

    173

    downloads

    0

    comments

    0

    adaptations

    1-017-DiseaseSpread-ModelingScenario
    Using a grid and m&m candies, we simulate the spread of disease. Students conduct the simulation and collect data to estimate parameters (in several ways) in a differential equation model for the...
    268

    views

    324

    downloads

    0

    comments

    0

    adaptations

    1-014-DrainingContainers
    Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the...

    Keywords: containerstankflowTorricelli's Lawdrainingfixed volume

    264

    views

    110

    downloads

    0

    comments

    0

    adaptations

    1-013-SleuthingWithDifferentialEquations-ModelingScenario
    We present several situations in which differential equation models serve to aid in sleuthing and general investigations.

    Keywords: projectile motionaccelerationNewton's Law of Coolingspeeding

    281

    views

    147

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search