QUBES will have scheduled maintenance work beginning on Wednesday, June 26, 2024, 4pm ET/1pm PT. The platform will operate normally for most of the day, except for an extended outage period lasting no more than 4 hours. All running tool sessions will expire during the maintenance window. Please plan accordingly and we do apologize for any inconvenience. close

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
    Distances in the Universe: An Inquiry Lab Sequence Taught in West Africa and North America
    Astronomy evokes deep curiosity for many people, making it a beautiful topic for supporting students to learn scientific practices and develop as scientists. We present an inquiry-based lab...

    Keywords: InquiryAstronomy labParallaxInverse-square law for lightCosmic distance ladderAsking investigable questions

    2315

    views

    374

    downloads

    0

    comments

    0

    adaptations

    2005-Albert_Tarantola-Inverse Problem Theory and Methods for Model Parameter Estimation
    This is a bible of approaches to support parameter estimation approaches in inverse problems. Theory and algorithms are offers with examples.

    Keywords: Algorithminverse probleminverse

    177

    views

    82

    downloads

    0

    comments

    0

    adaptations

    2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
    We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of...

    Keywords: goal functionabsolute error curvesinvers methodholling-Tanner model

    117

    views

    49

    downloads

    0

    comments

    0

    adaptations

    3-150-ItsABlastFurnace-ModelingScenario
    This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.

    Keywords: steady stateheat equationinverse problemfurnace

    147

    views

    119

    downloads

    0

    comments

    0

    adaptations

    2009-Martinez-Luaces-Modelling Applications Inverse Modelling
    The discussion in this paper will deal with non-typical inverse problems and how they can be used in engineering courses.

    Keywords: Laplace transforminverse problemtankmixinginverse

    101

    views

    33

    downloads

    0

    comments

    0

    adaptations

    2008-Duran-Caginalp-Parameter optimization for differential equations in asset price forecasting
    The optimization procedure is used in conjunction with daily market prices (MPs) and net asset values to determine the parameters for which the AFDE yield the best fit for the previous n days.

    Keywords: financeinverse problemnumerical nonlinear optimizationasset flowfinancial market dynamicsmarket return prediction algorithm

    106

    views

    15

    downloads

    0

    comments

    0

    adaptations

    4-036-AltitudeDependentGravity-ModelingScenario
    When projectiles are way above Earth's surface gravity's changes become important when dealing with projectiles at high altitudes. We lay out an approach for such a case which is a second-order...

    Keywords: agravityprojectilelinearizationltitufealtitude

    158

    views

    159

    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

    287

    views

    203

    downloads

    0

    comments

    0

    adaptations

    3-015-StyrofoamBallFall-ModelingScenario
    We are given data on a falling Styrofoam ball and we seek to model this motion.

    Keywords: footballresistancegravityfalling bodysum of square errorsNewton's Second Law of Motionsum of forcesstyrofoam

    177

    views

    106

    downloads

    0

    comments

    0

    adaptations

    5-080-SpaceFlightRecolonize-ModelingScenario
    This project is a combination of differential equations, multi-variable calculus, and vector calculus with use of technology to model colonization of a new planet. Students solve a system of...

    Keywords: optimizationsum of square errorsvector calculusLagrange multipliersline integrals

    177

    views

    144

    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

    165

    views

    304

    downloads

    0

    comments

    0

    adaptations

    1-061-PotatoCooling-ModelingScenario
    We model the cooling of a baked potato and compare it to student-collected data.

    Keywords: least sum of square errorsNewton's Law of Coolingcoolingpotato

    337

    views

    246

    downloads

    0

    comments

    0

    adaptations

    Energy Absorbed from Light During Photosynthesis
    This module introduces how energy absorption from light is affected by the wavelengths in the context of understanding photosynthesis. It is intended for an introductory biology audience.

    Keywords: plant physiologyRatiosphotosynthesishyperbolic equationsOpenStax

    1148

    views

    229

    downloads

    0

    comments

    0

    adaptations

    3-030-SecondOrderIntro-ModelingScenario
    We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and...

    Keywords: parameter estimationnon-homogeneousSpanishfrequencybuoyancyinverse problemthrustunderdampedfirst passagespring mash dashpotrealcomplexhomogeneoussuperpositionparachuteoverdampedcritically dampedbuoyquadratic equationrootsrocket flight

    824

    views

    1970

    downloads

    0

    comments

    0

    adaptations

    2011-W_Wood-Squigonometry
    The differential equations used to define a unit circle, namely x’(t) = - y(t), y’(t) = (t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which...

    Keywords: Trigonometric Functionscirclesquigonometryinverse functiontrigonmetry

    112

    views

    49

    downloads

    0

    comments

    0

    adaptations

    2011-W_Wood-Squigonometry
    The differential equations used to define a unit circle, namely x’(t) = - y(t), y’(t) = x(t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which...

    Keywords: TrigonometryTrigonometric Functionsparametric equationscirclesinecosinesquigonometryinverse function

    116

    views

    25

    downloads

    0

    comments

    0

    adaptations

    The Chi-Square Test
    This module introduces how to determine whether observation is significantly different from expectation in the context of understanding Chi-square Test. It is intended for an introductory biology...

    Keywords: ProbabilityProbability & StatisticsGenetics and EvolutionStatistical Testing

    1008

    views

    216

    downloads

    0

    comments

    0

    adaptations

    5-077-MandMAttritionWarfare-ModelingScenario
    Students model attrition between two opposing forces using M&M candies and discover a system of linear differential equations of order one, often called the Lanchester equations.

    Keywords: attritionLanchester modelpredator-predatorN-square Law

    182

    views

    143

    downloads

    0

    comments

    0

    adaptations

    2007-Graham-Lerch-Parameter Recovery for a Differential Equation Model
    This article presents a project for a differential equations class using an inverse problem based on the second order differential equation that models and electrical circuit.

    Keywords: laboratorydata collectionRLC circuitinvers problemelectrical circuit

    95

    views

    27

    downloads

    0

    comments

    0

    adaptations

    2007-Zenker-Rubin-Clermont-From inverse problems in mathematical physiology to quantitative differential diagnoses
    The improved capacity to acquire quantitative data in a clinical setting has generally failed to improve outcomes in acutely ill patients, suggesting a need for advances in computer-supported data...

    Keywords: physiologyinverse problem

    87

    views

    26

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search