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    3-100-Ripcord-Toys-ModelingScenario
    This modeling scenario examines the motion of a ripcord-powered toy with the goal of using real data to estimate parameters in a first-order model of the velocity of the toy. Students may conduct...

    Keywords: dataphysicsdynamicsdata collectionrollingslippingripcordtoy

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    3-130-MatterOfSomeGravity-ModelingScenario
    This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation.

    Keywords: gravityinverse problemacceleration

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    VISABLI - an RCN-UBE for Visualizations, Interactive Simulations, and Animations for Biology Learning & Instruction (RCN-UBE Introduction)
    Our network improves instructional multimedia design for biology education by fostering communication and collaboration among members of three communities: undergraduate biology instructors,...

    Keywords: RCN-UBE Introduction

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    Green Infrastructure/Green Roofs (Project Eddie)
    Runoff in urban areas is an increasingly important issue when it comes to water quality. It is a major hydrologic issue in New York City, as urban infrastructure creates excess runoff and...

    Keywords: climate changeProject EDDIEWater cycle

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    UNIDE - The Undergraduate Network for Increasing Diversity of Ecologists (RCN-UBE Introduction)
    We aim to build a sustainable network of ecologists, educators, social scientists, and students who are committed to identifying and remedying cultural and social barriers that reduce human...

    Keywords: RCN-UBE Introduction

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    Does Urbanization Favor Exotic Species?
    In this lesson, students will learn about the exotic European honeybee (Apis mellifera), and why they are considered an important pollinator. They will be prompted to think about the impacts of...

    Keywords: RStudiogeneral linear modelsAICurbanizationPoisson Distributionnative speciesHoneybeeexotic species

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    Simulating Cortical Rotation, Axis Induction, and Experimental Embryology in Amphibian Embryos Using Clay Models
    The study of development requires learners to understand spatially complex concepts like embryo anatomy. Embryo anatomy is dynamic over time, and it is often manipulated by researchers in...

    Keywords: developmentXenopusfertilizationEmbryologyinductionSymmetry breakingOrganizerCortical rotationPatterning

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    1-015-Torricelli-ModelingScenario
    We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the...

    Keywords: dataSpanishtankcolumn of waterapertureTorricelli's LawConservation of EnergytSolverwater flowExcel Solver

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    Using the Hardy-Weinberg Equations: Quantifying Natural Selection and Allele Frequencies
    This module contains exercises designed to walk students through a real-world example of the coevolution of fruit color and primate frugivore color vision. Students will apply the Hardy-Weinberg...

    Keywords: Hardy-WeinbergEvolutionintroductory biologyQuantitative reasoninginterdisciplinaryNIQBC2. Data and GraphsC4. mathematical modelsC3. Statistical AnalysisC6. Quantitative LanguageC1. Numeracy

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    THE IMPORTANCE OF GREEN SPACES & NATIVE PLANTS TO URBAN AVIFAUNA: A Lesson on how urban residential yards can support birds during their annual cycle
    In this lesson students will learn about the impacts of urbanization, and the conservation challenges it poses to wildlife, in particular avifauna. Introductory ecology topics such as the theory of...

    Keywords: birdsurbanizationPoisson Distributionnative plantsGeneralized linear models

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    Green Infrastructure/Green Roofs (Project Eddie)
    Runoff in urban areas is an increasingly important issue when it comes to water quality. It is a major hydrologic issue in New York City, as urban infrastructure creates excess runoff and...

    Keywords: climate changeProject EDDIEWater cycle

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    Self-Assembling Geometric Solids Videos
    An online resource showcasing research and developments in self-assembling 3D printed models. Our collection of videos covers various aspects of the self-assembly process and novel techniques.

    Keywords: GeometricSelf-assemblysolidsPlatonicArchimedean

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    6-005-InsectColonySurvivalOpt-ModelingScenario
    We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number...

    Keywords: optimizationOptimal Control Theoryinsect colonyoptimal controlnatural resourcesPointryagin's Maximum Principlecontrol variable

    360

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    2018-Meredith_Greer-Ella_Livesay-Mathematical Epidemiology Goes to College
    In this article we present models that were inspired by two real-life outbreaks at a small residential college campus: H1N1 influenza in 2009 and, surprisingly, mumps in 2016.

    Keywords: epidemiologydiseaseH1N1Influenzaoutbreak

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    2018-LA_Peletier-Ordinary Differential Equations in Pharmacodynamics
    Good mix of theory, application, solution technique in a number of areas of applications of differential equations. Develops qualitative behavior issues. Exercises, but not about models, more about...

    Keywords: compartment modelpharmacokineticspharmacodynamicsorbitsturnover

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    2018-Kovacs-Insperger-Retarded neutral and advanced differential equation models for balancing using an accelerometer
    It is shown that slight modeling differences lead to significant qualitative change in the behavior of the system, which is demonstrated by means of the stability diagrams for the different models.

    Keywords: feedbackAccelerometersfunctional differential equationssemi-discretizationD-subdivision method

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    2018-Hu-Huang-Dynamic Regulation Responding to an External Stimulus
    This study examines the dynamic regulation process responding to an external stimulus. This study introduces the driven damped oscillator model which has an additional parameter to identify...

    Keywords: dynamical systemsregulationsteady statesales modelexternal stimulus

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    2018-Arden_Baxter-Modeling Public Opinion
    In this paper, we adapt the epidemiological models to model the dynamics of public opinion. Public opinion is any view prevalent among the general public. Our model considers any topic or issue in...

    Keywords: epidemiologypopulationpublic opinion

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    2018-Akman-EtAl-Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization
    We demonstrate Particle Swarm Optimization efficacy by showing that it outstrips evolutionary computing methods previously used to analyze an epidemic model.

    Keywords: epidemicParticle Swarm Optimizationoptimize parameters

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    2017-Xiang_Liu-Mathematical Studies of Optimal Economic Growth Model with Monetary
    In this paper, efforts will be made to study an extended Neoclassic economic growth model derived from Solow-Swan Model and Ramsey-Cass-Koopsman Model.

    Keywords: Optimal Control TheoryJacobianSolow-Swan modelMonetary policyoptimal economic growth

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