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    2003-Givens-Bonfima-Direct observation of normal modes in coupled oscillators
    We propose a simple and inexpensive method to directly observe each normal mode of a system of coupled oscillators, as well as to measure its corresponding frequency, without performing Fourier...

    Keywords: frequencyresonancecoupled oscillator

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    1-003-IntroNumericalMethods-TechniqueNarrative
    We develop elementary approaches to numerically solving first order differential equations with Euler's Method, Improved Euler's Method and develop these geometrically to compute numeric solutions...

    Keywords: analytic solutionEuler's methodimproved Euler's method

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    2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
    We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.

    Keywords: least-squares approximationSpline modelingMonte Carlo simulationsvariable selectionadaptive LASSO

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    6-024-DronePackageDelivery-ModelingScenario
    Students will derive a system of first order differential equations which describe the flight path of a drone delivering a package.

    Keywords: VectorsTrigonometryFlightdronesparametric curveImproved Euler MethodRunge-Kutta

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    bioBUDS: How to Read a Paper
    Undergraduates are often expected to read scientific papers for class and submit assignments based on their understanding of the contents of these papers. Most courses, in our experience as...

    Keywords: Reading Scientific PapersInterpreting Figures

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    SOAR - San Francisco Bay Research Coordination Network for Student Opportunities in Avian Research to enhance STEM education and assess human impacts on avian biodiversity (RCN-UBE Introduction)
    The San Francisco Bay Research Coordination Network for Student Opportunities in Avian Research (SOAR) brings together faculty, students, and volunteers to implement an experiential learning and...

    Keywords: RCN-UBE Introduction

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    A Classroom Intervention to Reduce Confirmation Bias
    STEM students are often unable to recognize cognitive bias in their own disciplines, and simply describing cognitive bias to students has shown to be insufficient to improve critical thinking....

    Keywords: biasprocess of sciencemetacognitionConfirmation BiasCognitive Bias

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    Space Mission Ecology: Making Connections Among Science Disciplines Through the Lens of a Unique Plant
    With this case study, we aim to increase awareness of essential services plants provide to society, as well as the importance of fundamental aspects of ecology for other disciplines and the...

    Keywords: ecologycollaborationplant biologyScience CommunicationBioregenerative Life SupportInterdisciplinary Connections

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    2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
    We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of...

    Keywords: goal functionabsolute error curvesinvers methodholling-Tanner model

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    2017-Justin_Krueger-Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
    We demonstrate the feasibility of principal differential analysis using simulation studies and then apply the method to intestinal and vaginal microbiota data.

    Keywords: microbiologyLotka Volterrramicrobiota

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    2007-Ramsay-Hooker-Campbell-Cao-Parameter estimation for differential equations-a generalized smoothing approach
    We propose a new method for estimating parameters in models that are defined by a system of non-linear differential equations.

    Keywords: estimating equationfunctional data analysisGauss–Newton methodparameter cascadeprofiled estimationdynamic system

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    Helping Students to Overcome STUMPS: Scientific terms undermined by meanings peripheral to science
    Many terms and phrases that are ubiquitous in everyday use have very different meanings in science. As a result, biology students often hold prior conceptions that are difficult to change. In this...

    Keywords: Evolutionfitnessprocess of sciencetree of lifemetacognitionlanguagemisconceptionsTerminologyTheory

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    Animal Behaviour Case Study Lessons in Communication, Migration, and Parental Care Using the Jigsaw Approach
    Animal behaviour courses integrate concepts across biological disciplines and are particularly well suited for collaborative, student-focused teaching...

    Keywords: case studycommunicationprimary literatureanimal behaviorjigsawParental CaremigrationAnimal BehaviourProximate mechanisms

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    Population Ecology of the Northern Spotted Owl
    The mathematical modeling of populations utilizing field-collected demographic data is an important component of lab curricula in a variety of undergraduate biology lab courses. During the global...

    Keywords: demographyCommunity Ecologypopulation ecologyconservation biologylife tables

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    A Simple Method for Predicting a Molecule's Biological Properties From Its Polarity
    The distinction between very polar and less polar substances is a foundation of biochemistry, cell biology, and physiology; it surfaces in multiple concept inventories and elaborations of...

    Keywords: Diffusionsolubilitycovalent bondshydrophilichydrophobicpartition coefficientplasma membranepolarity

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    Learn genomics and bioinformatics through scientific thinking, creation and analysis (virtual and hands-on)
    Nucleic acid are biological molecules composed of nitrogen-containing bases, phosphate groups, and sugar molecules. The complimentary chemical bonding results in formation of double stranded DNA....

    Keywords: data analysisbioinformaticsnucleotidesproteinsRNAgenomicsScientific communicationscientific writingDNAmodelling scientific thinkinggenescientific thinkingcreation

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    Science “Fails”: A Bank of Historical Examples for Learning From Failure in Science
    Learning from failure is critically important to the processes of scientific inquiry, discovery, and invention. However, students are not routinely taught how to reflect on, learn from, and...

    Keywords: metacognitionScience process skillsLearning from failurepower and privilegestudent wellbeing

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    3-011-EulerBallThrowing-ModelingScenario
    If a tennis ball is thrown through the air it will hit the ground due to gravity. Using Euler's method, write a short script (Python, Matlab, R, etc.) to find the trajectory of the ball which will...

    Keywords: codingdragonVectorsEuler's methodball

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    2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients
    We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.

    Keywords: impulseGreen functionsinstructional exposition

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    2009-Peter-Howard-Modeling With ODE
    This is a set of class notes rich in examples and ideas for modeling. There is some MatLab code in support of some of the activities.

    Keywords: ratescompetitionpopulationepidemicpendulumcarbon datingreaction chemistrymechanicsplanetary motiondrag racingHamilton’s methodvariational method

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