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
    2000-deOlivera-Delfino-Costa-Leite-Pinhole Water Flow From Cylindrical Bottles
    The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest...

    Keywords: Torricelli's LawConservation of EnergytConservation of MassBernoulli’s Theorem

    115

    views

    62

    downloads

    0

    comments

    0

    adaptations

    3-001-SpringMassDataAnalysis-ModelingScenario
    We offer data on position of a mass at end of spring over time where the spring mass configuration has damping due to taped flat index cards at the bottom of the mass. Modeling of a spring mass...

    Keywords: datadampingspring-mass systemNewton's Second Law of Motionspring constantHooke's Law

    344

    views

    387

    downloads

    0

    comments

    0

    adaptations

    3-090-OneSpringMass-ModelingScenario
    We lead students through building a mathematical model for a single mass (bob)-spring system that is hanging vertically. We also lead the students, using data that they collect together with their...

    Keywords: undampedsum of square errorsmass springHooke's Lawoscilationleast-squares approximation

    227

    views

    379

    downloads

    0

    comments

    0

    adaptations

    6-012-RiverCrossing-ModelingScenario
    Students develop a model of a river crossing in a boat with thrust using Newton's Second Law of Motion from a Free Body Diagram they construct. The model is thence a system of one second order...

    Keywords: dragonNewton's Second Law of Motionriver crossinriver currentvelocity profilethrustFree Body Diagram

    242

    views

    132

    downloads

    0

    comments

    0

    adaptations

    Learn Biological Sciences and Physics through scientific process, creation, experimentation and analysis
    Microbes remain attached and grow on various surfaces whether living or non-living. These surfaces provide differential growth substances for microbes to remain attached or grow. The differential...

    Keywords: data analysisscientific methodphysicshands-onScientific InquirymicrobesBiological SciencesSpectrophotometer

    857

    views

    71

    downloads

    0

    comments

    0

    adaptations

    1-031-CoolIt-ModelingScenario
    We offer data on the temperature of water in a beaker in a room of constant temperature and in a room of nonconstant temperature. Students consider both empirical and analytic modeling...

    Keywords: SpanishNewton's Law of Coolingcooling

    255

    views

    446

    downloads

    0

    comments

    0

    adaptations

    2016-Pennell-Avitabile-White-Engineering Applications Differential Equations
    General discussion of an engineering based differential equations course with examples from RC Circuit, mass spring dashpot.

    Keywords: circuitvoltagecapacitornondimensionalization

    140

    views

    73

    downloads

    0

    comments

    0

    adaptations

    2004-Denny-Yackel-Temperature Models for Ware Hall
    This paper offers some very nice extended models for cooling off a new office area for a mathematics department.

    Keywords: Newton's Law of Coolingcoolingoffice building

    98

    views

    28

    downloads

    0

    comments

    0

    adaptations

    1-008-HangTime-ModelingScenario
    We present a modeling opportunity for students in which they model the vertical position of a basketball player taking a jump shot. The goal of the scenario is to get students to consider the...

    Keywords: gravityhang timNewton's Second Law of Motionjump shot

    569

    views

    225

    downloads

    0

    comments

    0

    adaptations

    1-076-ClimateBifurcation-ModelingScenario
    We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.

    Keywords: energy balanceclimateenergyalbedoHysteresisbifurcationice-agegreenhousebalanceStefan Boltzmann Law

    362

    views

    548

    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

    290

    views

    431

    downloads

    0

    comments

    0

    adaptations

    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

    1-045-TimeOfDeath-ModelingScenario
    Students are asked to determine the time of death given both environmental temperature situations and two observations of body temperature under several different circumstances.

    Keywords: body masstemperaturedeathNewton's Law of Coolingbody temperature

    331

    views

    200

    downloads

    0

    comments

    0

    adaptations

    1-063-ThreeHoleColumnOfWater-ModelingScenario
    We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.

    Keywords: fallingcolumn of waterTorricelli's Lawmultiple spigotsspigots

    196

    views

    188

    downloads

    0

    comments

    0

    adaptations

    1-068-WaterBottleCooling-ModelingScenario
    Students create of a differential equation describing how fluid in a water bottle will change its temperature to approach the ambient temperature in a room.

    Keywords: bNewton's Law of Coolingwater bottleautonomousbottle

    220

    views

    140

    downloads

    0

    comments

    0

    adaptations

    1-090-EmptySphericalTank-ModelingScenario
    We model the emptying of water from a spherical tank. First, we pump out water at a constant rate. Second, we allow the water to exit through a small hole in the bottom of the tank. We seek to...

    Keywords: VolumesphereTorricelli's Lawtimingspherical tankfluidempty

    237

    views

    240

    downloads

    0

    comments

    0

    adaptations

    3-009-BallDropInWater-ModelingScenario
    We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal...

    Keywords: resistancegravityfalling bodyterminal velocitybuoyancy

    261

    views

    158

    downloads

    0

    comments

    0

    adaptations

    3-010-EnergyInSpringMassSystem-ModlingScenario
    As a way to synthesize the effects of damping and forcing terms, this activity is meant to encourage students to explore how different forcing terms will change the total energy in a mass-spring...

    Keywords: energymass-spring systemkinetic energypotential energytotal energy

    259

    views

    173

    downloads

    0

    comments

    0

    adaptations

    5-014-TwoSpringMass-ModelingScenario
    We ask students to build a Free Body Diagram for a vertical two mass situation in which the two masses are held fixed at the tip and at the bottom. The mass holds the springs together at the join...

    Keywords: massspring mass dampersprings

    220

    views

    184

    downloads

    0

    comments

    0

    adaptations

    6-030-SaltAndTorricelli-ModelingScenario
    We build on a model for the height of a falling column of water with a small hole in the container at the bottom of the column of water. We use data from one video of a falling column of water.

    Keywords: whole picturetankmixingflowcolumn of watersalt mixinggraduated cylinderapertureTorricelli's Law

    223

    views

    126

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search