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
    1-005-NavigatingNumericalMethods-TechniqueNarrative
    This technique narrative is a discovery-based approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of...

    Keywords: Euler's methodTaylor's Methodsearch and rescueCoaast Guardlost at sealongitudelatitudelimit definition

    382

    views

    429

    downloads

    0

    comments

    0

    adaptations

    Pollinator Monitoring: Timed Pollinator Count Guide
    The Pollinator Monitoring: Timed Pollinator Count Guide aims to enhance understanding of pollinator diversity and the plants that support them. This guide empowers community scientists to...

    Keywords: surveyPlant-insect interactions#iNaturalistinsectsBLUEpollinators

    57

    views

    56

    downloads

    0

    comments

    0

    adaptations

    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation...

    Keywords: perturbationregular perturbationasymptotic expansionsanalytical approximationBernoulli equation

    171

    views

    226

    downloads

    0

    comments

    0

    adaptations

    2018-Akman-EtAl-Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization
    We demonstrate Particle Swarm Optimization efficacy by showing that it outstrips evolutionary computing methods previously used to analyze an epidemic model.

    Keywords: epidemicParticle Swarm Optimizationoptimize parameters

    138

    views

    74

    downloads

    0

    comments

    0

    adaptations

    1-021-FeralCatControl-ModelingScenario
    Students act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use of...

    Keywords: population growthcontrolferal catspopulation controlneutertrap-killtrap-neuter-return

    284

    views

    247

    downloads

    0

    comments

    0

    adaptations

    2010-Shaza_Hussein-Predator-Prey Modeling
    The objective of this project was to create five projections of animal populations based on a simple predator-prey model and explore the trends visible.

    Keywords: population dynamicspredator-preylogistic equationEndangered Catsdecreasing populationrabbitsfoxes

    172

    views

    38

    downloads

    0

    comments

    0

    adaptations

    6-029-TumorGrowth-ModelingScenario
    This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of...

    Keywords: Pop_Growth Pilotlogisticcomparmenttumorsynthetic datasum of squares error

    176

    views

    218

    downloads

    0

    comments

    0

    adaptations

    Analysis of Amylase Activity
    This lab is an exploration of enzyme function and the effects of environmental conditions on the activity of the enzyme amylase. The lab utilizes analytical and graphing skills to assess enzyme...

    Keywords: data analysisintroductory biologyconcentrationgraphinglinear equationsBiochemistryscientific methodstandard curveenzyme functionMicrosoft ExcelInterpreting GraphsenzymesqbccCreate graphsInterpret graphsSolving Equations and Inequalitiesinterpret tablesAmylaseAlpha-amylaseEnzyme activityMaltoseDNS assayAbsorbancelab reportspectrophotometryregression linemanipulating equationsline of best fitgraphing by hand

    1307

    views

    14095

    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

    156

    views

    39

    downloads

    0

    comments

    0

    adaptations

    2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
    We let the author's Table of Contents speak for itself.

    Keywords: differential equationsmodelingtextbook

    178

    views

    40

    downloads

    0

    comments

    0

    adaptations

    1-165-FlushToilet-ModelingScenario
    This activity analyzes the spread of a technological innovation using the Bass Model from Economics. The equation is a first-order, two-parameter separable equation and the solution has a...

    Keywords: juliaDiffusioninnovationrate of innovationBass modelSolver

    246

    views

    308

    downloads

    0

    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

    251

    views

    145

    downloads

    0

    comments

    0

    adaptations

    4-065-GasInjection-ModelingScenario
    Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest...

    Keywords: Prandtl-Blasius equationsboundary layergas injectionesponential box schemeuniform convergenceFORTRAN

    161

    views

    73

    downloads

    0

    comments

    0

    adaptations

    Assessing River Herring Migration Using Nonparametric Analysis
    In this lesson, users will play the role of a fisheries biologist by tackling a contemporary fisheries research problem by performing data normality tests, data transformations, nonparametric...

    Keywords: testR Markdownfisheries scienceanadromouschesapeake bayriver herringfisheries managementelectronic fish counterblueback herringalewifevirginiachickahominyriverwalker's damnonparametricwilcoxonsignedranknormalityfish migration

    700

    views

    672

    downloads

    0

    comments

    0

    adaptations

    1994-Paul_Davis-Asking Good Questions about Differential Equations
    A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.

    Keywords: questionspopulationnumericalphysical contextgraphicalalgebraicIreland

    101

    views

    44

    downloads

    0

    comments

    0

    adaptations

    9-001-SkinBurnModelNumericalMethods-TechniqueNarrative
    The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Numerical methods play an important role in solving these.

    Keywords: Maternal-Fetal interfaceheat equationConservation of Energytheat fluxEuler's forward methodcentral differenceskin burnhyperthermiathermal conductivitylayers

    286

    views

    175

    downloads

    0

    comments

    0

    adaptations

    1-098-NeuronDetection-ModelingScenario
    Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in ...

    Keywords: biologyneuroscienceneuron physiologyvoltageintegrate and firethrefholscoincidence detectionRC circuit

    217

    views

    206

    downloads

    0

    comments

    0

    adaptations

    3-004-VanderPol-ModelingScenario
    This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a well-known nonlinear second-order ordinary differential equation.

    Keywords: phase planeVan der Pol oscillatorlimit cycleRunge-Kutta methodLienard equation

    210

    views

    326

    downloads

    0

    comments

    0

    adaptations

    Does Organelle Shape Matter? Exploring Cell Shape through the Allen Cell Explorer and High-content Microscopy Datasets
    The morphology and localization of structures inside the cell are often assumed to fit the ideal images found in biology textbooks. This interrupted case study using high-throughput microscopy data...
    2033

    views

    3094

    downloads

    0

    comments

    0

    adaptations

    Avida-ED
    Avida-ED is an award-winning educational application developed at Michigan State University for undergraduate biology courses to help students learn about evolution and scientific method.

    Keywords: simulationEvolutionbiologyscientific methodResources @ QUBES - Softwaredigitalhypotheses

    2595

    views

    406

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search