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
    3-075-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

    207

    views

    132

    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

    172

    views

    136

    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

    206

    views

    111

    downloads

    0

    comments

    0

    adaptations

    6-075-LorenzSystemSimulation-ModelingScenario
    The Lorenz system is examined by students as a simple model of chaotic behavior or strange attractor. MATLAB code is created to find the numerical solutions of the Lorenz’ system of nonlinear...

    Keywords: chaososcillatorLorenzwaterwheelstrange attractorbifurcation effect

    168

    views

    181

    downloads

    0

    comments

    0

    adaptations

    7-020-ThermometerInVaryingTempStream-ModelingScenario
    We present a first order differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy...

    Keywords: temperaturesteady statethermometerheat exchangetransfer functionphase lagInvers Laplace Transform

    221

    views

    159

    downloads

    0

    comments

    0

    adaptations

    3-080-PendulumModeling-ModelingScenario
    We lead students through building model for several pendulum configurations in motion and ask students to compare results.

    Keywords: pendulumperiodlinearization

    218

    views

    319

    downloads

    0

    comments

    0

    adaptations

    Teaching the Photoelectric Effect Using an Open-Source Interactive Simulation
    The photoelectric effect is one of the fundamental experiments that established the basis of quantum mechanics. Students studying this experiment in modern physics courses struggle to understand...

    Keywords: photoelectric effectquantum mechanicsquantalight-matter interactions

    837

    views

    127

    downloads

    0

    comments

    0

    adaptations

    9-002-GroundWaterFlow-ModelingScenario
    The goals of this project are to compare a conceptual one-dimensional groundwater flow model to observations made in a laboratory setting, and to discuss the differences.

    Keywords: sgroundwater flowDarcy's Lawheat equationaquiferhydraulic headFourier's Lawsand tank

    364

    views

    663

    downloads

    0

    comments

    0

    adaptations

    3-130-MatterOfSomeGravity-ModelingScenario
    This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation.

    Keywords: gravityinverse problemacceleration

    208

    views

    147

    downloads

    0

    comments

    0

    adaptations

    2023-TechShareNotes. Differential Equations Modeling
    TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as...

    Keywords: population dynamicspredator-preycircuitreactionspring masspharmacokineticscooling

    532

    views

    63

    downloads

    0

    comments

    0

    adaptations

    2018-Kovacs-Insperger-Retarded neutral and advanced differential equation models for balancing using an accelerometer
    It is shown that slight modeling differences lead to significant qualitative change in the behavior of the system, which is demonstrated by means of the stability diagrams for the different models.

    Keywords: feedbackAccelerometersfunctional differential equationssemi-discretizationD-subdivision method

    1552

    views

    44

    downloads

    0

    comments

    0

    adaptations

    2017-GR_Gustafson-Differential Equations Course Materials
    There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium,...

    Keywords: chemostatmicrobesbiomassforecastingtransfercompartmentpesticidesearthquaketankheatinglidocainebrineheartbeatsnutrient flowaquariumelectric networkscircuitsloggingbuildingcascade

    160

    views

    51

    downloads

    0

    comments

    0

    adaptations

    2017-Bruce_Emerson-Wonderful World of Differential Equations
    This is a terrific set of noted with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and...

    Keywords: Newton's Second Law of MotionNewton's Law of CoolingreactionsPoiseuille’s Lawstopping distancerate of changeproblemsmodeling opportunities

    110

    views

    71

    downloads

    0

    comments

    0

    adaptations

    2017-Andras_Domokos-Differential Equations - Theory and Applications – Notes
    This is a terrific set of notes with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and...

    Keywords: Newton's Second Law of MotionNewton's Law of Coolingbiochemical reactionsPoiseuille’s Lawstopping distance

    138

    views

    59

    downloads

    0

    comments

    0

    adaptations

    2016-Starling-EtAl-Local Brewery - A Project for Use in Differential Equations Courses
    We describe a modeling project designed for an ordinary differential equations (ODEs) course using first-order and systems of first-order differential equations to model the fermentation process in...

    Keywords: BEERFermentationbrewery

    135

    views

    51

    downloads

    0

    comments

    0

    adaptations

    2015-Peter_Cumber-Waggling pendulums and visualization in mechanics
    This article describes an equation of motion for a waggling pendulum.

    Keywords: resonanceinverted pendulummechanicsdamped pendulum

    93

    views

    50

    downloads

    0

    comments

    0

    adaptations

    2015-Liang-EtAl-Advanced ordinary differential equation based head modelling for Chinese marionette art preservation
    This paper addresses the heritage preservation of the marionette head carving by digitalizing the head models with a novel modelling technique using ordinary differential equations (ODEs).

    Keywords: digitizationcontrolmarionetteChinese marionettehead carving

    102

    views

    68

    downloads

    0

    comments

    0

    adaptations

    2003-Fay-Graham-Coupled spring equations
    Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.

    Keywords: spring massoscillationHooke's Lawcoupled springsperiodicforcing functionphase portrait

    92

    views

    57

    downloads

    0

    comments

    0

    adaptations

    2015-Dios-EtAl-How Engineers deal with Mathematics solving Differential Equations
    The students of fourth course, of the bachelor’s degree in Computer Sciences or Industrial Engineering at the University of Salamanca (Spain), they learn mathematics solving real problems with the...

    Keywords: assessmentengineering educationSimulink

    112

    views

    59

    downloads

    0

    comments

    0

    adaptations

    2015-Cano-EtAl-Bringing partial differential equations to life for students
    This work describes how to use an authoring tool, Easy Java Simulations, to build interactive simulations using FreeFem++ (Hecht F 2012 J. Numer. Math. 20 251) as a PDE solver engine.

    Keywords: Java SimulationFreeFemauthoring toolsauthoring methodsphysical modellingclassroom teaching

    91

    views

    44

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search