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
    1-043-CoolingUpAndDown-ModelingScenario
    We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.

    Keywords: temperatureoscillationNewton's Law of Coolingcoolingthermostatair conditioner

    327

    views

    191

    downloads

    0

    comments

    0

    adaptations

    1-001c-PopulationDecayThenSome-ModelingScenario
    You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel.

    Keywords: simulationoccupancypopulationhotel

    292

    views

    134

    downloads

    0

    comments

    0

    adaptations

    1-052-SaltWaterTanks-ModelingScenario
    We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.

    Keywords: salttankmixing

    243

    views

    235

    downloads

    0

    comments

    0

    adaptations

    1-060-SalesMarketing-ModelingScenario
    We lead students through a sales forecasting model based on marketing principles first espoused by F. M. Bass with definitions, assumptions, equations, and data on sales over 15 year periods...

    Keywords: marketingBass modelsalesconsumer productsinnovatorsimitators

    231

    views

    199

    downloads

    0

    comments

    0

    adaptations

    1-065-AlgalBlooms-ModelingScenario
    This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, starting in 1994.

    Keywords: direction fieldstool:dfieldalgaeharmful algae bloomspopulationcompartmentLake Chapala

    274

    views

    378

    downloads

    0

    comments

    0

    adaptations

    1-084-GoingViral-ModelingScenario
    Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of...

    Keywords: simulationlogisticrandomfittingpartial fractions

    246

    views

    112

    downloads

    0

    comments

    0

    adaptations

    1-086-MedicinalPill-ModelingScenario
    Administration of a medicinal pill in single and multiple doses is modeled.

    Keywords: medicinespillovercompartmentbloodstreamGIT-Track

    239

    views

    191

    downloads

    0

    comments

    0

    adaptations

    1-088-RoomTemperature-ModelingScenario
    Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume...

    Keywords: environmentclimatetemperatureNewton's Law of Coolingcoolingperiodic function

    270

    views

    288

    downloads

    0

    comments

    0

    adaptations

    1-091-InvestigatingSlopeFields-ModelingScenario
    Students will gain experience writing differential equations to model various population scenarios, they will create slope fields to view the solution curves using software, and they will discuss...

    Keywords: slope fieldspopulation

    229

    views

    403

    downloads

    0

    comments

    0

    adaptations

    1-096-OP-AMP-Differentiator-ModelingScenario
    The output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and compared with...

    Keywords: simulationMeasurementfeedbackMultisimcircuitvoltageoperational amplifiervalidationSPICE

    440

    views

    383

    downloads

    0

    comments

    0

    adaptations

    1-104-InfectionRisk-ModelingScenario
    This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions.

    Keywords: infectionlogisticexponentialcovidcarrying capacity

    281

    views

    131

    downloads

    0

    comments

    0

    adaptations

    1-105-AnimalFall-ModelingScenario
    This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.

    Keywords: animalNetwon's Second Law of Motionfalling bodyterminal velocityair resistanceNewtonair frictionfall

    301

    views

    147

    downloads

    0

    comments

    0

    adaptations

    1-118-SolowEconomicGrowth-ModelingScenario
    Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a...

    Keywords: optimizationeconomicssteady stategrowthSolow-Swan modelcapitalproductionlaborGolden Rule of Economic Growth

    265

    views

    118

    downloads

    0

    comments

    0

    adaptations

    1-134-LanguageDynamics-ModelingScenario
    Students will be introduced to a mathematical model for language dynamics. Specifically, the model describes the change in the fraction of a population speaking one language over another.

    Keywords: languagecompartmentphase linesbifurcationswitching

    193

    views

    195

    downloads

    0

    comments

    0

    adaptations

    1-135-FishHarvesting-ModelingScenario
    This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this case the...

    Keywords: population dynamicsfishstabilitybifurcationharvest

    232

    views

    200

    downloads

    0

    comments

    0

    adaptations

    1-136-MarriageAge-ModelingScenario
    Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. Students are asked to set up and solve these differential equations. They...

    Keywords: messagesmarriageusing social sciences in forecastingdirected

    259

    views

    160

    downloads

    0

    comments

    0

    adaptations

    5-076-LanchesterLaws-ModelingScenario
    Lanchester's laws are used to calculate the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and...

    Keywords: Lanchester's lawssensitivity analysisanalysis

    357

    views

    249

    downloads

    0

    comments

    0

    adaptations

    1-165-FlushToilet-ModelingScenario
    This activity analyzes the spread of a technological innovation using the Bass Model from Economics. The equation is a first-order, two-parameter separable equation and the solution has a...

    Keywords: juliaDiffusioninnovationrate of innovationBass modelSolver

    278

    views

    356

    downloads

    0

    comments

    0

    adaptations

    3-002-ModelsMotivatingSecondOrder-ModelingScenario
    Ordinary differential equations involve second derivatives and second derivatives appear in many contexts, chief among them are the study of forces and resulting motion. This is principally because...

    Keywords: resistancespring massoscillationHooke's Lawdampening

    551

    views

    731

    downloads

    0

    comments

    0

    adaptations

    3-004-VanderPol-ModelingScenario
    This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a well-known nonlinear second-order ordinary differential equation.

    Keywords: phase planeVan der Pol oscillatorlimit cycleRunge-Kutta methodLienard equation

    234

    views

    416

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search