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    1-100-EngineeringDemographics-ModelingScenario
    Students show how models can be used to examine social issues. The students examine three different models and use numerical methods to apply each model to demographic data for the percentage of...

    Keywords: logisticpopulationImproved Euler MethodGompertzdemographicswomenautonomous

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    4-065-GasInjection-ModelingScenario
    Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest...

    Keywords: Prandtl-Blasius equationsboundary layergas injectionesponential box schemeuniform convergenceFORTRAN

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    Knowing your own: A classroom case study using the scientific method to investigate how birds learn to recognize their offspring
    Understanding the scientific method provides students with a necessary foundation for careers in science-related fields. Moreover, students can apply scientific inquiry skills in many aspects of...

    Keywords: scientific methodNatural Selectionbrood parasitism

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    Calculating and Comparing Biodiversity Materials Across Sites Using NEON Herbaceous Vegetation Data - a Tutorial
    These materials are intended for use at the undergraduate level. They employ R and Excel software.
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    A Team-Based Approach to Course Development Involving Undergraduate Researchers
    Development of an undergraduate laboratory course can be a challenge, because of the need to balance both logistical and pedagogical considerations. We piloted a team-based approach to developing...

    Keywords: student researchcourse development

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    2014-Niemann-Miklos-Simple Method for Estimation of Parameters in First Order Systems
    A simple method for estimation of parameters in first order systems with time delays is presented in this paper.

    Keywords: delaytime delystep response

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    Evaluating Representation in Science Through a Peer-Reviewed Research Study
    The demographic representation of scientists featured in biology curricular materials do not match that of the undergraduate biology student population or of the U.S. population. In this lesson, we...

    Keywords: societyRepresentationSTEM equity

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    1-027-StochasticProcesses-ModelingScenario
    We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution...

    Keywords: VarianceMeanstochasticrandomoperations researchindustrial engineeringPoisson processtraffic

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    Climate change and Strawberries: A real-life problem-based activity for teaching ANOVA
    This is a real-life lab activity for teaching ANOVA using Problem-Based Learning and formatted for one-day (JMP or R) or two-day (JMP) implementations.

    Keywords: climate changeProblem based learningANOVAplant sciencetwo-way ANOVA

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    Measuring streamflow using the float method
    Streamflow, the amount of water flowing in a creek, stream, or river at a certain point in time, is critical to people and the environment. Knowing the amount of flowing water is important for...

    Keywords: River Field Studies Networkstreamflowstreamflow measurements

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    1-095-RatingChessPlayers-ModelingScenarios
    The goal of this activity is to have students build a mathematical model involving a system of first order difference equations from a verbal description of a scenario.

    Keywords: simulationchessElo's methodchess rating

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    Generating Biological Hypotheses in a "Course-based Undergraduate Research Experience"(CURE) Course
    Hypotheses are often incorrectly defined as educated guesses or if/then statements. Further confusion arises from the fact that not all disciplines define hypotheses similarly. The difficulty in...

    Keywords: scientific methodHPT axisNeural stem cells

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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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    2012-Campbell-EtAl-Parameter estimation in differential equation models with constrained states
    We introduce a method to estimate parameters and states from a differential equation model while enforcing interpretability constraints such as monotone or non‐negative states.

    Keywords: chemical engineeringsmoothing-based relaxation method

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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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    Implementing an online module on microbe-plant interactions in the context of ecological disturbance for Microbiology and Biochemistry courses in India
    This module explores tropical forest gap dynamics and helps students develop hypotheses about climate-related changes in plant-microbial interactions and was implemented in Microbiology and...

    Keywords: data analysisscientific methoddata interpretationdisturbance ecologyexperiential learningCarbon sequestration in tropical rainforestPlant Microbial interactionsCanopy GapUndergraduate MicrobiologyNational Education Policy 2020

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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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    Preparing Student Study Guides through Peer Collaboration in the Technological Era
    Incorporating active learning exercises into large lecture courses is particularly challenging, especially when it comes to examination preparation materials. Traditionally, study guides are used...

    Keywords: active learningDiscussionStudy Skills

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