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
    2017-Xiang_Liu-Mathematical Studies of Optimal Economic Growth Model with Monetary
    In this paper, efforts will be made to study an extended Neoclassic economic growth model derived from Solow-Swan Model and Ramsey-Cass-Koopsman Model.

    Keywords: Optimal Control TheoryJacobianSolow-Swan modelMonetary policyoptimal economic growth

    182

    views

    72

    downloads

    0

    comments

    0

    adaptations

    2017-Helen-Byrne-Further Mathematics Biology
    These studies will be in the context of ecological, biological and biochemical applications.

    Keywords: epidemicschemotaxisenzyme-substrateion channelsnerve pulsesgene proagationtumour

    128

    views

    36

    downloads

    0

    comments

    0

    adaptations

    2014-Vance-Eads-Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure
    We investigate a three-species nonlinear response omnivory model incorporating stage structure in the top predator. The model consists of four coupled ordinary differential equations involving...

    Keywords: stage structuresensitivity analysismortalityomnivoreomnivory modelsearch rates

    174

    views

    58

    downloads

    0

    comments

    0

    adaptations

    2002-Fay-The Pendulum Equation
    We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for it.

    Keywords: pendulumFourier seriesTaylor seriesnumerical solution

    99

    views

    58

    downloads

    0

    comments

    0

    adaptations

    2012-Greer-Palin-Students in Differential Equations and Epidemiology Model a Campus Outbreak of pH1N1
    We describe a semester-long collaboration between a mathematics class and a biology class. Students worked together to understand and model the trajectory of the pandemic H1N1, pH1N1, outbreak...

    Keywords: H1N1pandemicspreadoutbreakpH1N1

    130

    views

    31

    downloads

    0

    comments

    0

    adaptations

    5-005-StiffDifferentialEquations-TechniqueNarrative
    This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples. Stiffness is a property that a system of ODE's may...

    Keywords: Euler's methodexplicit methodsimplicit methodsstiffsitffnessstiff differential equationinstability

    413

    views

    481

    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

    339

    views

    258

    downloads

    0

    comments

    0

    adaptations

    6-019-EnablingEpidemicExploration-ModelingScenario
    We became aware of several interesting possibilities for a modeling opportunity with data and we invited you to explore the several routes to parameter estimation in a SIR model with respect to the...

    Keywords: Akaike Information CriterionMichaelis-Mentenepidemicsaturationgradientleast sum of square errors

    175

    views

    214

    downloads

    0

    comments

    0

    adaptations

    Movement: Nature's Flying Machines
    In this lab, you will explore the physics of flight, the adaptations that make powered flight possible, and the evolution of powered flight in vertebrates and invertebrates.

    Keywords: citizen sciencequantitative skillsDigital RepositoryFlight

    2558

    views

    1053

    downloads

    0

    comments

    1

    adaptations

    3-034-CarSuspension-ModelingScenario
    We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a ``quarter car'',...

    Keywords: designspring-mass-dashpotspring constantunderdampingcar suspensionsuspension tolerancestatic equilibrium

    604

    views

    481

    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

    52

    downloads

    0

    comments

    0

    adaptations

    2017-Rosario-Antony-Mathematical Model for Future Population Scenario In India And China – An Econometric Approach
    A mathematical model including dynamical systems, statistical models and differential equations involves variety abstract structures. Population growth is one of the main issues in India and China...

    Keywords: logisticIndiavital coefficientsAsiaCarrying Vapacitiyannual growth rate

    160

    views

    76

    downloads

    0

    comments

    0

    adaptations

    2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
    In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear...

    Keywords: compartmentheatinghouse

    117

    views

    54

    downloads

    0

    comments

    0

    adaptations

    2012-Nokkaew-EtAl-Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm
    This paper presents a double layer genetic algorithm (DLGA) to improve performance of the information-constrained parameter estimations.

    Keywords: optimizationalgae growthgenetic algorithmssimulated dataconvergence of parameters

    99

    views

    34

    downloads

    0

    comments

    0

    adaptations

    2012-Augustus-Wali-Mathematical Modeling of Uganda Population Growth
    The purpose of this paper focuses on the application of logistic equation to model the population growth of Uganda using data from 1980 to 2010 (inclusive).

    Keywords: population growthlogistic growthDrug and Alcohol detoxificationcarrying capacityvital coefficients

    152

    views

    46

    downloads

    0

    comments

    0

    adaptations

    2009-Schaffer-Bronnikova-Controlling malaria
    The present paper reviews potential control strategies from the viewpoint of mathematical epidemiology.

    Keywords: epidemiologymalariabifurcationmosquitotransgenic mosquitoes

    178

    views

    34

    downloads

    0

    comments

    0

    adaptations

    1992-Emelie_Kenney-Differential_equations_and_the_AIDS_epidemic
    This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of first-order linear differential equations and the derivative...

    Keywords: datafirst orderparameterAIDS

    87

    views

    43

    downloads

    0

    comments

    0

    adaptations

    2011-Richard_Fitzpatrick-Newtonian_Dynamics
    This 300 page text is packed with motivational physics. Indeed, Professor Fitzpatrick brings us to the origins of why differential equations are the dominant tools of mathematics in the study of...

    Keywords: modelingtextbookphysicsbifurcation

    185

    views

    63

    downloads

    0

    comments

    0

    adaptations

    Revealing Hidden Figures in Natural History Collections Working Group BIOME 2022 Recap
    A quick overview from the revealing hidden figures working group as part of BIOME 2022.

    Keywords: BIOME 2022

    571

    views

    195

    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

    699

    views

    1837

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search