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    2016-Starling-EtAl-Local Brewery - A Project for Use in Differential Equations Courses
    We describe a modeling project designed for an ordinary differential equations (ODEs) course using first-order and systems of first-order differential equations to model the fermentation process in...

    Keywords: BEERFermentationbrewery

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    2003-Yildirim-Mackey-Feedback Regulation in the Lactose Operon
    A mathematical model for the regulation of induction in the lac operon in Escherichia coli is presented.

    Keywords: mRNAlactoselactose operonfeedback regulation

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    2014-Bozkurt-Peker-Mathematical modelling of HIV epidemic and stability analysis
    A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to...

    Keywords: diseaselogisticHIVpiecewise constantIndia

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    1999-F_Brauer-What_Goes_Up_Must_Come_Down
    It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum height than it takes to rise to this maximum height for frictional forces that are nonlinear...

    Keywords: resistancefallingprojectilevertical projectile

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    1-139-PlantsVsHerbivores-ModeliongScenario
    In this activity, students will apply a variety of techniques for analyzing nonlinear systems (e.g., nullclines, linearization, and technologies for drawing phase portraits) to study...

    Keywords: ecologynullclinesherbivoreplant-herbivore interactionsplantlinearization

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    9-010-TravelingWave-ModelingScenario
    Students are taken through a traveling wave analysis of a porous medium model. While the starting point is a nonlinear partial differential equation model, after a change of variables, students...

    Keywords: traveling wavesseepage velocityporous medium

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    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

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    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

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    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...
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    Climate-Induced Shifts in California Butterflies
    A module in which students generate and test hypotheses about butterfly species’ response to climate change in the Central Valley and Sierra Nevada Mountains of northern California using publicly...

    Keywords: linear regressionScatter Plotsclimate changephenologyhypothesis formulationmountainsCaliforniapublic dataCODAP

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    Global Temperature Change in the 21st Century: An Introduction to Global Climate Models and Graphing in Excel (Adapted for Non-Majors)
    Students link human behavior in various climate change scenarios to predicted temperature outcomes at both local (their assigned Latitude) and global (Latitudinal trends) scales. This adaptation is...

    Keywords: ExcelResources @ ESA - TIEEecology labclimate changeenvironmental scienceglobal changehuman-environmental interactionsSimple Linear Regressionhuman impactsinclusive pedagogy-FMN

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    Dendroclimatology
    Dendroclimatologists can reconstruct climate records further into the past than written records, by examining tree rings. Students "reverse-engineer" this process by considering growth rates of a...

    Keywords: linear regressiongraphingdata visualizationstandardizationclimatetree ringsdendrochronology

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    Why Cells Change Weight: Demonstrating Linear Regression Through an Osmosis Experiment
    In this activity, students will perform an experiment utilizing dialysis tubing to create cellular models to demonstrate the linear relationship between cell weight and time in varying tonicities....

    Keywords: graphingqbccCellular and Molecular BiologyInterpret graphsConcepts in Statistics

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    Striped Bass: A Regulatory Success Story
    This module examines the Maryland striped bass moratorium (1985-1989) as a fisheries management success story. Maryland DNR striped bass young of the year data is utilized for least squares linear...

    Keywords: regressionfisheriesmonitoringrecruitmentstriped bassmoratoriumfish biologyfisheries ecologyspawninganadromousyoung of the yearrelative abundancechesapeake bayfish population

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    How Luxury and Legacy Effects Shape Urban Avifauna in Los Angeles, California
    Is L.A.’s bird population shaped by historic redlining and income inequality? This lesson will introduce luxury and legacy effects hypotheses as they relate to urban avifauna in LA neighborhoods....

    Keywords: ANCOVASimple Linear Regressionurban ecologyredliningavian ecology

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    Investigating human impacts on Southeastern US stream ecology using R
    Adaptation of the "Investigating human impacts on stream ecology: Scaling up from Local to National with a focus on the Southeast" specifically to focus on self-paced R code instruction
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    Case Study — The Gender gap in 100-meter dash times
    In 2004, the journal Nature published a short tongue-in-cheek paper by Tatem and colleagues meant to critique common abuses in linear modeling while fitting data from the Olympic gold medal times...

    Keywords: calling bulltrack and fieldreproducing resultslinear modelingcritique

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    Oyster Restoration Success and Water Quality in the James and Rappahannock Rivers of Virginia
    This QUBES lesson uses statistical analysis to test whether or not oyster restoration sites in Virginia are successfully increasing the number of oysters and whether or not water quality is...

    Keywords: aquatic ecologymarine ecologyggplot2Pearson correlation coefficientSimple Linear RegressionnitrogenJames Rivertidyversechesapeake baywater qualityphosphorusharmful algae bloomsvirginia

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    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...
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    An Introduction to Statistical Learning: with Applications in R
    This book provides an introduction to statistical learning methods and is aimed for upper level undergraduate students, masters students and Ph.D. students in the non-mathematical sciences.

    Keywords: linear regressiontextbookclassificationcourseclustering coefficientR programming languagestatistical learningmachine learninglogistic regressionresamplingmodel selectionGeneralized additive modelsdecision treesprincipal components analysisMOOCResources @ QUBES - Teaching & Reference

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