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
    2001-Smith-Moore-The SIR Model for Spread of Disease
    A multiple part tour of SIR Models freely available with Maple, Mathematics, and MatLab support files at MAA site.

    Keywords: epidemicSIR modelEuler's methodherd immunityHong Kong flu

    177

    views

    80

    downloads

    0

    comments

    0

    adaptations

    2001-Knisley-Kerley-Using data to motivate the models used in introductory differential equations
    In this paper, the data itself is used to motivate mathematical models in introductory mathematics courses. In doing so, various regression and optimization techniques are illustrated.

    Keywords: regressionlogisticTorricelli's Lawgrowthperiodic process

    102

    views

    38

    downloads

    0

    comments

    0

    adaptations

    2001-Edwards-Buckmire-A differential equation model of North American cinematic box-office dynamics
    A new mathematical model is presented for the box-office dynamics of a motion picture released in North America.

    Keywords: cinemamoviesbox-office

    91

    views

    38

    downloads

    0

    comments

    0

    adaptations

    2000-Idels-Wang-Harvesting Fisheries Management Strategies With Modified Effort Function
    This study concludes that a control parameter beta (the magnitude of the effect of the fish population size on the fishing effort function E), changes not only the rate at which the population goes...

    Keywords: sustainabilityfishFishingmanagementharvestfisherstrategyoverfishing

    137

    views

    43

    downloads

    0

    comments

    0

    adaptations

    2000-Erdman-Morelock-A Study of Kinetics The Estimation and Simulation of Systems of First-Order Differential Equations
    This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.

    Keywords: kineticsSAScompartmentpharmacokinetics

    496

    views

    37

    downloads

    0

    comments

    0

    adaptations

    2000-Dwayne-Anderson-Estimates of the future membership of the Church of Jesus Christ of Latter-Day Saints
    Thus, the purpose of this paper is to model the membership of the Church of the Latter Day Saints from the available data on membership from 1844 to 2000.

    Keywords: population dynamicslogisticLatter-Day Saints

    151

    views

    36

    downloads

    0

    comments

    0

    adaptations

    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

    104

    views

    29

    downloads

    0

    comments

    0

    adaptations

    1999-Richard_Single-Different quotients-derivatives-and data through modeling with slime
    In this article, I present an experiment that can be conducted in a calculus class to investigate the difference quotient and the derivative, using mathematical modeling with student-collected data.

    Keywords: data analysisslimedifference quotientspread of slime

    136

    views

    59

    downloads

    0

    comments

    0

    adaptations

    1999-Meyer-Ausubel-Carrying Capacity-A Model with Logistically Varying Limits
    This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This is applied to human population situations in several countries with fits to data.

    Keywords: population dynamicsparameter estimationlimited growthgrowthlogisitic

    128

    views

    38

    downloads

    0

    comments

    0

    adaptations

    1999-Long-Weiss-The Velocity Dependence of Aerodynamic Drag A Primer for Mathematicians
    This paper is exactly what it says it is, namely, a Primer for Mathematicians. There are ample models, data, attention to such issues as Reynolds’ numbers, and attention to aerodynamics issues.

    Keywords: drag forceaerodynamics

    94

    views

    30

    downloads

    0

    comments

    0

    adaptations

    2016-Langtangen-Pedersen - Scaling of Differential Equations
    Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations...

    Keywords: scalingdimensionlesscontinuum mechanics

    131

    views

    45

    downloads

    0

    comments

    0

    adaptations

    2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
    This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.

    Keywords: spatialsensitivity analysisgene regulatory networksstochasticbifurcationmetabolic networkselectrophysiologytransductionrate lawsbiochemical reactions

    383

    views

    82

    downloads

    0

    comments

    0

    adaptations

    2012-Vivek_Patel-Chemical Kinetics
    The book is designed to help the reader, particularly students, researchers, research scholars, scientists, chemists and industry fraternity of chemistry and allied fields; understand the mechanics...

    Keywords: kineticschemistryreaction

    151

    views

    44

    downloads

    0

    comments

    0

    adaptations

    1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation
    For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not...

    Keywords: sum of square errorsleast squarespharmacokineticslineteicscompartmental modelsdirect search

    183

    views

    42

    downloads

    0

    comments

    0

    adaptations

    1967-JG-Wagner-Computers in pharmacokinetics
    This is a seminal paper in pharmacokinetics in which the author introduces historic notions and approaches. As can be seen from the abstract there is a variety of material here.

    Keywords: kineticscomputerspharmacokinetics

    192

    views

    47

    downloads

    0

    comments

    0

    adaptations

    2014-Blomhøj-EtAl-Compartment models
    An overview of compartment models with many rich illustrations and much attention to various numerical methods in solutions of the resulting differential equations using Matlab. Also included is a...

    Keywords: concentrationkineticsphysiologycompartmentsalttankbalancereactionsminkbathtub

    217

    views

    61

    downloads

    0

    comments

    0

    adaptations

    1991-JR_Lobry-P_Flandois-Comparison of Monod's Growth Model Parameters from the Same Data Set
    The paper obtains the parameters in Monod's Growth model using a minimization of the sum of square errors with a given data set and obtains confidence intervals

    Keywords: Confidence intervalssum of square errorslinearizationgrowthModo Growth model

    117

    views

    43

    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

    106

    views

    36

    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: epidemicCDCAIDSDisease Control

    116

    views

    36

    downloads

    0

    comments

    0

    adaptations

    1992-John_Mathews-Bounded population growth-a curve fitting lesson
    The purpose of this article is to present two methods for fitting the logistic curve to data supplied by the U. S. census bureau.

    Keywords: datalogisticlinearizationfitting

    117

    views

    51

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search