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
    1-003-IntroNumericalMethods-TechniqueNarrative
    We develop elementary approaches to numerically solving first order differential equations with Euler's Method, Improved Euler's Method and develop these geometrically to compute numeric solutions...

    Keywords: analytic solutionEuler's methodimproved Euler's method

    289

    views

    154

    downloads

    0

    comments

    0

    adaptations

    2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
    We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.

    Keywords: least-squares approximationSpline modelingMonte Carlo simulationsvariable selectionadaptive LASSO

    132

    views

    58

    downloads

    0

    comments

    0

    adaptations

    6-024-DronePackageDelivery-ModelingScenario
    Students will derive a system of first order differential equations which describe the flight path of a drone delivering a package.

    Keywords: VectorsTrigonometryFlightdronesparametric curveImproved Euler MethodRunge-Kutta

    231

    views

    480

    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

    121

    views

    53

    downloads

    0

    comments

    0

    adaptations

    2017-Justin_Krueger-Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
    We demonstrate the feasibility of principal differential analysis using simulation studies and then apply the method to intestinal and vaginal microbiota data.

    Keywords: microbiologyLotka Volterrramicrobiota

    198

    views

    62

    downloads

    0

    comments

    0

    adaptations

    1998-K_H_Louie_Clark-P_C_D_Newton-Analysis of differential equation models in biology-clover meristem populations
    A simple differential equation model (dynamical system) for clover, based on meristem numbers, is outlined and analysed mathematically.

    Keywords: sensitivity analysisstability analysissteady statesgrowing pointsbudsmeristems

    102

    views

    27

    downloads

    0

    comments

    0

    adaptations

    2017-Russell+Herman-A_First_Course_in_Differential_Equations_for_Scientists_and_Engineers
    This is a self-published text book with excellent coverage and solid mathematics and theory to support applications.

    Keywords: textbookengineeringapplications

    102

    views

    49

    downloads

    0

    comments

    0

    adaptations

    6-070-BeerBubbles-ModelingScenario
    The goal of this project is to set up and numerically solve a first-order nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that...

    Keywords: molecular forensicsBEERspherebubbleNewton' Second LawIdeal Gas Lawdrag forceHadamardStokesmole

    228

    views

    401

    downloads

    0

    comments

    0

    adaptations

    1-094-SteepingTea-ModelingScenario
    We provide photographs of steeping process for a tea steeped in hot water. Students build a differential equation model for the steeping process and do parameter estimation using the color of our...

    Keywords: concentrationSurface AreacolorNewton's Law of Coolingteasugar

    218

    views

    252

    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

    150

    views

    135

    downloads

    0

    comments

    0

    adaptations

    3-095-ShotInWater-ModelingScenario
    This project uses Newton's Second Law of Motion in conjunction with a quadratic model for the resistance experienced by a bullet moving through water to analyze a classic action movie scene.

    Keywords: projectile motionterminal velocityprojectilewater resistancereduction of orderfrictionair resistance

    164

    views

    124

    downloads

    0

    comments

    0

    adaptations

    Helping Students to Metacognitively Read Scientific Literature With Talking to the Text
    Reading primary scientific literature enhances students’ understanding of material, increases their self-efficacy, and critical thinking skills. However, scientific articles often present...

    Keywords: scientific literaturereading comprehensionmetacognitionScience process skillsTalking to the TextDense Scientific Texts

    879

    views

    205

    downloads

    0

    comments

    0

    adaptations

    3-011-EulerBallThrowing-ModelingScenario
    If a tennis ball is thrown through the air it will hit the ground due to gravity. Using Euler's method, write a short script (Python, Matlab, R, etc.) to find the trajectory of the ball which will...

    Keywords: codingdragonVectorsEuler's methodball

    247

    views

    181

    downloads

    0

    comments

    0

    adaptations

    2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients
    We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.

    Keywords: impulseGreen functionsinstructional exposition

    110

    views

    55

    downloads

    0

    comments

    0

    adaptations

    2009-Peter-Howard-Modeling With ODE
    This is a set of class notes rich in examples and ideas for modeling. There is some MatLab code in support of some of the activities.

    Keywords: ratescompetitionpopulationepidemicpendulumcarbon datingreaction chemistrymechanicsplanetary motiondrag racingHamilton’s methodvariational method

    143

    views

    54

    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

    336

    views

    224

    downloads

    0

    comments

    0

    adaptations

    Neochromosomes: Creating transcriptional units with yeast Golden Gate assembly
    This resource is a series of protocols using the yeast Golden Gate (yGG) method as developed by Neta Agmon and Leslie Mitchell in Jef Boeke’s lab to assemble a functional yeast gene with...
    1191

    views

    526

    downloads

    0

    comments

    0

    adaptations

    Salamander Mark-Recapture using SPARCnet plots with the Schnabel Method
    A salamander mark-recapture module where students field collect a third survey occasion to estimate population size

    Keywords: Field researchsalamanderCapture mark-recaptureAudience level - Advanced UG

    1787

    views

    1602

    downloads

    0

    comments

    0

    adaptations

    ABO Blood Group Frequencies
    An Excel workbook in which students can calculate blood type frequencies through different approaches (Hardy-Weinberg, quadratic formula, and the EM algorithm). The workbook shows the formulas...

    Keywords: Hardy-WeinbergExcelResources @ ESTEEMblood type frequencies

    1353

    views

    272

    downloads

    0

    comments

    0

    adaptations

    2014-Wang-EtAl-Estimating Mixed-Effects Differential Equation Models
    When multiple replicates of measurements are available for the dynamic process, it is of great interest to estimate mixed-effects in the ODE model for the process. We propose a semiparametric...

    Keywords: pharmacokineticsdynamic modelssmoothingsplinemixed-effects modelsHiV combination therapy

    103

    views

    69

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search