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    Avian Censys Analysis
    This Swirl course uses ecological data of bird counts and habitat variables to estimate inter-observer variability and the relationship of birds with habitat variables.

    Keywords: ecologyregressionaverageserror estimates

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    Value of Mistakes
    This module familiarizes students with brain research describing our physiological response to mistakes, and how making mistakes is a useful part of learning.

    Keywords: growth mindsetmath attitudesResources @ BIOMAAPmistakesvalue of mistakes

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    Teacher Guide: Math and Statistics
    Topics include measures of average (mean, median, and mode), variability (range and standard deviation), uncertainty (standard error and 95% confidence interval), Chi-square analysis, student...

    Keywords: Resources @ HHMI - BioInteractiveStatistics and Mathteacher guide

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    An active-learning lesson that targets student understanding of population growth in ecology
    Effective teaching and learning of population ecology requires integration of quantitative literacy skills. To facilitate student learning in population ecology and provide students with the...

    Keywords: population growthexponential growthlogistic growthpopulation ecologygrowth rateDensityAbundancecarrying capacitylinear growth

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    A Short Bone Biomechanics Primer: Background for a Lesson on Bone Viscoelasticity
    The skeletal system is the first of the body systems that we discuss in-depth in our Physiology & Anatomy courses (PNB 2264/2265 and PNB 2274/2275) in the Department of Physiology and...

    Keywords: structure-functionbiomechanicsAnisotropyViscoelasticity

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    A first lesson in mathematical modeling for biologists: Rocs
    Using a fictitious population of Rocs, a mythical species of giant raptor, students accomplish two broad objectives: 1) they undertake the process of building a first mathematical model of a...

    Keywords: population ecologypopulation modelingdiscrete generationpopulation management

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    2010-Shianga-EtAl-Computational model of the human glucose-insulin regulatory system
    A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is introduced. The

    Keywords: glucose tolerance testsum of squared residualsmultiple shooting methodcost function

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    Investigating Leaf Litter Decomposition and Invertebrate Communities in Streams
    Students utilize the provided dataset to engage in an open-inquiry project on the impacts of abiotic and biotic factors on stream macroinvertebrate communities and/or leaf litter decomposition.

    Keywords: Resources @ ESA - TIEEInvasive SpeciesfmnDIGspecies tolerance curvesdiversity indiceslitter decomposition ratesfreshwater ecologyopen-inquiry

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    9-002-GroundWaterFlow-ModelingScenario
    The goals of this project are to compare a conceptual one-dimensional groundwater flow model to observations made in a laboratory setting, and to discuss the differences.

    Keywords: sgroundwater flowDarcy's Lawheat equationaquiferhydraulic headFourier's Lawsand tank

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    2014-Vance-Eads-Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure
    We investigate a three-species nonlinear response omnivory model incorporating stage structure in the top predator. The model consists of four coupled ordinary differential equations involving...

    Keywords: stage structuresensitivity analysismortalityomnivoreomnivory modelsearch rates

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    1-097-SwimmingPool-ModelingScenario
    This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods.

    Keywords: concentrationcchlorinenumerical errorswimming poolhorineerreor

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    3-085-SimplePendulum-ModelingScenario
    Thestudent is asked to derive and solve a differential equation that gives the position (angle

    Keywords: Newton's Second Law of Motionpendulumkinetic energypotential energyConservation of Energytinitial conditionssmall angle approximationTaylor polynomialpercent error

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    5-080-SpaceFlightRecolonize-ModelingScenario
    This project is a combination of differential equations, multi-variable calculus, and vector calculus with use of technology to model colonization of a new planet. Students solve a system of...

    Keywords: optimizationsum of square errorsvector calculusLagrange multipliersline integrals

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    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

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    Adapted Value of Mistakes
    This module is adapted from BIOMAAP materials on the value of mistakes and application of growth mindset in a microbiology lab.

    Keywords: growth mindsetmath attitudesResources @ BIOMAAPmistakesvalue of mistakes

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    Phenotypic plasticity and predation
    Students predict changes to tadpole morphology and coloration after considering characteristics of the predator species and the prey themselves then test their own hypotheses (typically with...

    Keywords: RExcelimage analysisgraphingt-testsfrequency histogramsdata visualizationANOVAhypothesis formulationpredator-prey interactionsphenotypic plasticity

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    Application of a Bacterial Experimental Evolution System to Visualize and Teach Evolution in Action: A Course-Based Undergraduate Research Experience
    Concepts of evolution are typically taught through examples of extremely long timescales, which do not always resonate broadly. Here, we describe a course-based undergraduate research experience...

    Keywords: EvolutionmutationcompetitionNatural Selectionregulationstructure and functionreproductive fitnessgenotype to phenotypehomologs

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    The River Breathes: Stream reach metabolism as an integrative and comparable measure of stream processes
    Stream reach metabolism integrates organism respiration & production to provide a valuable ecosystem measure that varies as a function of biotic & abiotic factors. As a powerful indicator of whole...

    Keywords: ecosystem respirationMetabolismriverRespirationproductionRiver Field Studies NetworkDissolved OxygenStream MetabolismEcosystem ProductionStreamField LessonGuided Student ReflectionStudent Reflection

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    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

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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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