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
    5-010-DNADegradation-ModelingScenario
    We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters...

    Keywords: DNA\kinetisplasmaratpharmacokinetis

    267

    views

    165

    downloads

    0

    comments

    0

    adaptations

    2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
    The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear...

    Keywords: instructional designeigenvalueseigenvalue analysis

    152

    views

    50

    downloads

    0

    comments

    0

    adaptations

    2021-G_Nagy-Ordinary_Differential_Equations
    This is an introduction to ordinary differential equations. We describe the main ideas to solve certain differential equations, like first order scalar equations, second order linear equations, and...

    Keywords: differential equationstextbook

    210

    views

    106

    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

    276

    views

    249

    downloads

    0

    comments

    0

    adaptations

    Making Predictions with Linear Models: A Murder Mystery Case Study
    This Swirl lesson will introduce two main concepts to students: 1) the idea of uncertainty around linear slopes versus individual values and 2) predicting values using linear models.

    Keywords: data visualizationlinear modelscase study teachinguncertaintypredictionConfidence intervals

    832

    views

    291

    downloads

    0

    comments

    0

    adaptations

    2018-Weber_Theers_Surmann_Ligges_Weihs-Sensitivity Analysis_of_Ordinary_Differential_Equation_Models
    This report will focus on the sensitivity analysis of ordinary differential equation (ODE) models since they can be used to model so-called Low Frequency Oscillations (LFOs).

    Keywords: sensitivityregressionparameter estimationsystemlow frequency oscillationsoscillations

    148

    views

    45

    downloads

    0

    comments

    0

    adaptations

    2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
    In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.

    Keywords: time seriesregressionresponseimpulseoscillationsignal processingsparse regressionsystem identification

    805

    views

    52

    downloads

    0

    comments

    0

    adaptations

    Remote Sensing of Plants and Topography in R (Project EDDIE) for Advanced GIS class
    Students will explore different possible abiotic drivers of plant growth, defined as greenness and height. In the final step, students will analyze data from around the United States and consider...
    888

    views

    606

    downloads

    0

    comments

    0

    adaptations

    2008-Luis_San_Andrés-Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
    Walk through the cases in context of second order linear constant coefficient differential equation with driving function

    Keywords: driving functionviscousmechanical system

    108

    views

    34

    downloads

    0

    comments

    0

    adaptations

    2017-GR_Gustafson-Differential Equations Course Materials
    There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium,...

    Keywords: chemostatmicrobesbiomassforecastingtransfercompartmentpesticidesearthquaketankheatinglidocainebrineheartbeatsnutrient flowaquariumelectric networkscircuitsloggingbuildingcascade

    190

    views

    66

    downloads

    0

    comments

    0

    adaptations

    2003-Fay-Graham-Coupled spring equations
    Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.

    Keywords: massoscillationspring\coupled springsperiodicfporcing

    131

    views

    77

    downloads

    0

    comments

    0

    adaptations

    Remote Sensing of Plants and Topography in R (Project EDDIE)
    Students will explore different possible abiotic drivers of plant growth, defined as greenness and height. In the final step, students will analyze data from around the United States and consider...
    866

    views

    240

    downloads

    0

    comments

    2

    adaptations

    Have fish assemblages recovered from the legacy of acid rain?
    This module provides a framework for upper-level ecology students to learn about limiting factors for stream fish diversity, using data from Shenandoah National Park and gaining skills in...

    Keywords: Problem based learningdiversitycooperative learninglimiting factorsaquatic ecosystemspyramid examlab reports

    1830

    views

    1297

    downloads

    0

    comments

    0

    adaptations

    Biological Cellular Automata Laboratory (BioCA Lab)
    This Excel module includes both linear cellular automata and 2D cellular automata. The original 3 rules for survival, death, and birth are implemented in this module, but users with some Excel...

    Keywords: cellular automata

    147

    views

    75

    downloads

    0

    comments

    0

    adaptations

    2015-Jonathon_Easton, Jonathan-Mathematical models of health focusing on diabetes-Delay differential equations and data mining
    This is an exhaustive study with very good references of a linear system of four differential equations with and without delay to model diabetes in a human being.

    Keywords: diabeteshealth model

    104

    views

    87

    downloads

    0

    comments

    0

    adaptations

    1994-Roland_Minton-A Progression of Projectiles-Examples from Sports
    There is a progression of complexity and issues in projectile motion modeling from no resistance, to resistance proportional to velocity, then to velocity squared,

    Keywords: sportsresistanceprojectilebaseballdraglinear resistancequadratic resistancetennis

    177

    views

    42

    downloads

    0

    comments

    0

    adaptations

    2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
    We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a...

    Keywords: exponential growthsolutionslinear systemsdecayconjecture

    145

    views

    40

    downloads

    0

    comments

    0

    adaptations

    1994-Brian_Winkel-Ant_Tunnels_and_Calculus
    A simple mathematical model describing the time it takes for an ant to construct a linear tunnel of length x is produced from five intuitively acceptable assumptions.

    Keywords: differential equationsdifference equationfirst orderderivative definitionant tunnel

    183

    views

    73

    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

    201

    views

    46

    downloads

    0

    comments

    0

    adaptations

    2-005-LinearizeItAll-TechniqueNarrative
    Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form...

    Keywords: computationerrorTorricelli's Lawdata fittinglinear approximation

    393

    views

    193

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search