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    Advancing population ecology with integral projection models: a practical guide
    Integral projection models (IPMs) use information on how an individual's state influences its vital rates – survival, growth and reproduction – to make population projections using regression...

    Keywords: IPMintegral projection modelspopulation growthreviewsdemographyelasticitylife historymatrix projection modelpopulation growth ratesensitivitystage structurevital ratesregressionResources @ QUBES - Teaching & Referencecovariatesanalytics

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    BSHS Calculus 2
    Based upon the University of Minnesota Bachelor's of Science in Health Science calculus curriculum (part 2), this course introduces linear transformations, ordinary differential equations, basic...

    Keywords: mathematicsmodelingmodulecalculuscourselinear algebracalculus 2Resources @ BioQUEST - Numbers Count

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    5-030-LinNonHomoSystemSol-TechniqueNarrative
    We offer strategies for solving linear systems of nonhomogeneous differential equations using a conjectured solution strategy for a system of constant coefficient, linear, n

    Keywords: strategiesdiscovery learningeigenvectorseigenvalue

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    2016-Simon_Malham-Differential_Equations_and_Linear_Algebra
    This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential...

    Keywords: textbooklinear algebraLaplace transform

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    Using Regression Models to Examine the Effect of Carbon Dioxide on Fluid pH
    In this activity students will use statistics and regression models to explore the effects of carbon dioxide on blood pH by measuring pH changes that occur over time as carbon dioxide reacts with...

    Keywords: BiochemistryphysiologyAnatomyGeneral BiologyChoosing modelsCreate graphsInterpret graphsConcepts in Statisticscreate modelsmake predictions

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    A CURE in traits and species distributions: Reproductive modes, range sizes, and natural history collections
    This course-based undergraduate research experience (CURE) focuses on developing hypotheses about how traits influence the range sizes of species. Topics with substantive content include symbioses,...

    Keywords: Evolutionbiostatisticsecologynatural history collectionsSymbiosisspecies distributionsherbariumplant functional traitsLichenReproductive biologyAppalachian mountains

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    Modeling Changes in Probability of Presence of Myotis lucifugus Due to White Nose Syndrome: An Introduction to Logistic Regression in R
    In this lesson, students will learn more about the wildlife disease known as white nose syndrome and how it affects certain bat species more than others. Students will learn about the important...

    Keywords: ecologyconservationRStudiobatslogistic regressionGLMWildlife DiseaseWhite nose syndromelittle brown batsmyotis lucifugus

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    2020-TeachingModule-GeometricBehaviorOfLinearSysteModeling
    This module concentrates on the geometric properties of a system of 2 linear, homogeneous first order differential equations in 2 variables as dictated by the corresponding eigenvalues. Students...

    Keywords: modulelinear systemsdigoxinTeaching Module

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    Module M.5 Linear mixed-effects models
    Introduction to Primate Data Exploration and Linear Modeling with R was created with the goal of providing training to undergraduate biology students on data management and statistical analysis...

    Keywords: R programming languageprimatespopulation ecology

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    Module M.6 Generalized linear models
    Introduction to Primate Data Exploration and Linear Modeling with R was created with the goal of providing training to undergraduate biology students on data management and statistical analysis...

    Keywords: R programming languageprimatespopulation ecology

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    2013-Antonin_Slavik-Mixing Problems with Many Tanks
    Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix representation of the linear mixing model of differential equations.

    Keywords: lineartankmixingcircularcascading

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    2015-Sivakumar-EtAl-Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste
    The initial value problem in a kinetic model for biogas generation from banana waste is discussed. The model involves the system of non-linear differential equations which has variety of non-linear...

    Keywords: chemical kineticsMichaelis-Menten kineticsanaerobic digestionacidogenic stepsbananamethanogenic stepswastes

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    Investigating the Drivers of Western Monarch Decline Using Partial Least Squares Regression
    In this lesson, students will explore the drivers of the western monarch butterfly decline. Students will compare the effects of climate factors and land use factors on the western monarch...

    Keywords: RStudiomultivariate analysisMonarch butterfliesPartial Least Squares Regression

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    Data from: Advancing population ecology with integral projection models: a practical guide
    Review important resources for building IPMs and provide a comprehensive guide, with extensive R code, for their construction.

    Keywords: IPMintegral projection modelsdemographyelasticitylife historymatrix projection modelpopulation growth ratepopulation projection modelsensitivitystage structurevital ratesResources @ DryadResources @ QUBES - Data

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    1986-Cook-Witten-One-dimensional linear and logistic harvesting models
    Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed.

    Keywords: logisticcontinuouspopulationlineardiscreteharvestinbg

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    5-012-LinearSystemConjecture-TechniqueNarrative
    Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing...

    Keywords: discovery learningconjecturesolutionsubstitution

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    Exploring the functionality of R
    Students work with example data to generate a length-weight plot and use lm() to obtain regression coefficients. Base plot functions are used to plot both the data and the regression line.
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    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

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    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

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    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

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