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
    1-074-BottleWaterFlow-ModelingScenario
    We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow.

    Keywords: bwaterTorricelli's Lawbottle

    248

    views

    168

    downloads

    0

    comments

    0

    adaptations

    9-015-UnearthingTruth-ModelingScenario
    This project introduces \textit{electrical resistivity tomography}, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical...

    Keywords: geophysicalImagingStatistical inverse problemtunnelconductionHolocaustVilniusDivergence TheoremfluxLaplace's equationimpedanceelectrical resistivity tomographytomographyresistivity

    211

    views

    307

    downloads

    0

    comments

    0

    adaptations

    2011-Yanyu_Xiao-Study of Malaria Transmission Dynamics by Mathematical Models
    The novelty lies in the fact that different distribution functions are used to describe the variance of individual latencies. The theoretical results of this project indicate that latencies reduce...

    Keywords: infectious diseaseinfectionmalarialatencyspatial dispersalmulti-species

    141

    views

    61

    downloads

    0

    comments

    0

    adaptations

    9-014-TurkeyCook-ModelingScenario
    The goal of this project is to investigate several models for the cooking time for a turkey based on weight, test these models with data obtained from heating curves for turkeys of various weights,...

    Keywords: sphereheat equationturkeyPanofskyradial symmetry

    736

    views

    1981

    downloads

    0

    comments

    0

    adaptations

    3-043-BallisticModeling-SpongeDart-ModelingScenario
    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance.

    Keywords: projectile motionair resistanceballisticsdimensional analysisNewtonian mechanicssponge dartNerf gunNerf dartBuckingham's Theorem

    591

    views

    696

    downloads

    0

    comments

    0

    adaptations

    1-092-DashItAll-ModelingSenario
    This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. We derive the classic Hill-Keller model for a sprinter exerting...

    Keywords: datarunningsprintHill-Kellerworld recordOlympics

    319

    views

    195

    downloads

    1

    comments

    0

    adaptations

    1-100-EngineeringDemographics-ModelingScenario
    Students show how models can be used to examine social issues. The students examine three different models and use numerical methods to apply each model to demographic data for the percentage of...

    Keywords: logisticpopulationImproved Euler MethodGompertzdemographicswomenautonomous

    299

    views

    176

    downloads

    0

    comments

    0

    adaptations

    9-020-HeatDiffusion-ModelingScenario
    This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular,...

    Keywords: laboratoryDiffusionheat

    210

    views

    391

    downloads

    0

    comments

    0

    adaptations

    Agent-Based Modeling Course Materials
    Materials created for an upper level ABM course. Prerequisite: Students have taken either (a) another modeling course, or (b) the introductory computer science sequence.

    Keywords: agent-based modelingindividual-based modelingcourse materials

    1924

    views

    2018

    downloads

    0

    comments

    0

    adaptations

    2020-Stepien_Kostelich_Kuang-Mathematics Cancer An Undergraduate Bridge Course in Applied Mathematics
    Most undergraduates have limited experience with mathematical modeling. This paper describes a course on the mathematical models of cancer growth and treatment.

    Keywords: differential equationsmodelingundergraduate educationcancertumor

    244

    views

    64

    downloads

    0

    comments

    0

    adaptations

    1987-MS_Greenwood-Using videotapes to study underdamped motion of a pendulum
    Using a video camera to study the effects of air resistance acting on pendulum bob, ping-pong ball, styrofoam spheres, and brass spheres.

    Keywords: Videoresistancependulumping-pong ballstyrofoam ballbrass ball

    112

    views

    41

    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

    370

    views

    254

    downloads

    0

    comments

    0

    adaptations

    The Education for Sustainability – Philly Project: Supporting Teachers to Develop Lessons on Sustainability
    Talk given as a part of the Symposium - Communities of Practice for Math Modeling Education at the SIAM 2018 Conference

    Keywords: SIAMsustainabilityResources @ MMHubResources @ SIAMEd 2018

    1427

    views

    369

    downloads

    0

    comments

    0

    adaptations

    1-115-ModelingWithFirstOrderODEs-ModelingScenario
    Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.

    Keywords: bacteriafalling objectNewton's Law of Coolingdrugcoolingdrag

    286

    views

    126

    downloads

    0

    comments

    0

    adaptations

    6-015-CombatingEbolaEpidemic-ModelingScenario
    This project offers students a chance to make a policy recommendation based on analysis of a nonlinear system of differential equations (disease model). The scenario is taken from the fall of 2014...

    Keywords: diseaseEbolaAnalysisPolicydecision

    648

    views

    568

    downloads

    0

    comments

    0

    adaptations

    2018-Dyjuan_Tatro-The_Mathematics_of_Cancer-Fitting_Gompertz_Equation_to_Tumor_Growth
    Fitting the Gompertz Model to long term breast cancer study data, this project ascertains gompertzian parameters that can be used to predicts tumor growth as a function of time.

    Keywords: tumorgrowthGompertzfittingparameter

    132

    views

    49

    downloads

    0

    comments

    0

    adaptations

    6-026-IsleRoyaleModeling-ModelingScenario
    The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle.

    Keywords: ecologyoptimizationpredator-preypopulationvector calculusLagrange multipliersleast squaresIslel Royale

    223

    views

    412

    downloads

    0

    comments

    0

    adaptations

    9-030-WaterHammer-ModelingScenario
    We develop and apply a numerical algorithm that solves a system of two nonlinear partial differential equations (PDEs) that describes the time evolution of the water hammer phenomenon.

    Keywords: Stock and Flow modelhyperbolic equationsfinite differenceswater hammerhydrodynamicscompressibilitywave celerity

    189

    views

    134

    downloads

    0

    comments

    0

    adaptations

    3-110-MilitarySpringMassApplication-ModelingScenario
    The is a collection of different scenarios for the shock system of a trailer. In each scenario, students will transform the shock system of a trailer into a second-order differential equation,...

    Keywords: dampingresonancebeatsspring-mass systemLaplace TransfomDirac Delta function

    209

    views

    136

    downloads

    0

    comments

    0

    adaptations

    2016-Spayd-Puckett- A Three-Fold Approach to the Heat Equation - Data Modeling Numerics
    This article describes our modeling approach to teaching the one-dimensional heat (diffusion) equation in a one-semester undergraduate partial differential equations course.

    Keywords: separation of variablesexperimentheat equationLab Equipmentcollect data

    125

    views

    52

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search