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    2017-Varanis-Mereles-Mathematical Model of a Vehicle Crash A Case Study
    The model proposed in this paper allows one to obtain the parameters of the system, and then compare them with the ones obtained experimentally to test the suitability of the model with the vehicle...

    Keywords: case studyRunge-Kuttaspring mass dampervehicle crash

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    5-036-HalfCarVibration-ModelingScenario
    Vibration vehicle models provide an opportunity to integrate vehicle-based vibrations into a mechanical engineering vibrations course. The project is on a multiple-degree-of-freedom (MDOF)...

    Keywords: vibrationvehiclehalf-car modelfinite element analysisshock absorberssuspension

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    3-105-FrequencyResponse-ModelingScenario
    We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

    Keywords: transient dynamicscircuitspring massdriverfrequency responseamplitudesteady state

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    3-090-ChebyshevPolynomialSolution-TechniqueNarrative
    The Chebyshev equation is presented as a vehicle to view series solutions techniques for linear, second order homogeneous differential equations with non-constant coefficients.

    Keywords: series soluotionpolynomial solutionsChebyshev polynomialsChebyshev differential equations

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    1-122-SpreadPEV-ModelingScenario
    We present data on world sales data of plug-in electric vehicles (PEVs) and request a model on the rate of change in sales over time, leading to prediction as to number of PEVs in the future.

    Keywords: datalogisticpredictionspreadplug-in vehiclePEV

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    4-020-AnIEDBlast-ModelingScenario
    These three exercises offer students a chance to model with second order ordinary differential equations, how they might incorporate a spring-mass system into a larger model, and how they can use...

    Keywords: applied mathematicsforcesFree Body DiagramImprovised Explosive Devicessum of forces

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    Salmon, Society, and Success: A case study on the intersections of colonialism, ecological degradation, and the power of social action.
    Using a case study approach, this lesson examines colonialism as an ongoing force affecting nature, culture, and society by focusing on decades of tribally led efforts resulting in recent federal...

    Keywords: ecologyglobal changehuman-environmental interactionsenvironmental justice4DEE Frameworkenvironmental racismsocial and environmental justice

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    Implementing an online module about the implications of gold mining in the Amazonian rainforest for a community college ecology course
    This online module describes the implications of gold mining in the Amazon Rainforest, introduces students to ecological concepts, and explores human-environment connections. The implementation...
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    1-155-CruiseControl-ModelingScenario
    In this project we illustrate the design of a proportional-integral-derivative (PID) cruise control algorithm for an automobile. PID control is one of the most common techniques in control...

    Keywords: PID controllerfeedback controlControl theorycruise controlautomobileclosed-loop controlinput-ouputblock diagram

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    2016-Mehmet_Pakdemirli-Mathematical design of a highway exit curve
    Using fundamental principles of physics and calculus, the differential equation determining the curve function is derived.

    Keywords: kinematicscurve designhighway exittangential acceleration

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    2004-Mark_McCartney-Using_second-order_ordinary_differential_equations_to_model_traffic_flow
    A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear second-order differential equation with constant coefficients is...

    Keywords: differential equationstraffic flowvehicle followsecond order

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    2014-C_W_Groetsch-S_A_ Yost-Vertical Projection_in_a_Resisting_Medium_Revelations_on_Observations_of_Mersenne
    This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of...

    Keywords: resistanceprojectile motionprojectilefluidMersenne

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    6-026-IsleRoyaleModeling-ModelingScenario
    The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle.

    Keywords: ecologyoptimizationpredator-preypopulationvector calculusLagrange multipliersleast squaresIslel Royale

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    A rainforest with a gold chain? The impacts of gold mining on the trophic web of an Amazonian rainforest of SE Peru
    The use of mercury in artisanal gold mining affects aquatic and terrestrial food webs in the Peruvian Amazon. Learn about bioaccumulation, explore data on mercury deposition in vegetation and how...

    Keywords: conservation biologydeforestationhuman healthpollutionbiodiversity losstropical land use

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    How to Design a Classroom Activity that Integrates 3D Print Models with Active Learning
    Student exploration of relevant physical models can deepen knowledge of course material. In this guide we describe a method by which instructors can integrate 3D printing technology with an...

    Keywords: active learning3D print modelsclassroom jigsaw

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    Resources for Assessing Educational Interventions in Biology at the Collegiate Level
    Most scientific research is judged based on the quality of controlled experiments and carefully analyzed results. In addition, proper levels of regulation in terms of biosafety and animal usage are...

    Keywords: researchassessmentpedagogylearning gainsIRBregulatory compliance

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    Designing an Asynchronous, Self-Led Aquatic Ecology Field Trip
    Due to the COVID-19 pandemic and increasing need to teach students online, aquatic scientists are looking for ways to give students field experiences virtually. Asynchronous, self-led field trips...

    Keywords: observationecosystem structureexploration

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    It's a bird! It's a plane! It's biomechanics!
    Biomechanics is a discipline that draws from physics and engineering principles to understand the movement and structure of living organisms. It is highly interdisciplinary in nature and can be...

    Keywords: EvolutionecologybatphysiologyAnatomybirdFlightforcesinsect

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    Bad Science: Exploring the unethical research behind a putative memory supplement
    As members of society, students must be able to evaluate scientific claims across a wide variety of media to make sound decisions about health and wellness. However, students - and most members of...

    Keywords: bioethicsevaluationPseudoscienceRecognizing bad scienceScience process skills

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    Isolation and Functional Analysis of a Pancreatic Enzyme in an Introductory Student Lab
    Structure and function are correlated at all levels of biology. This topic is typically addressed early in an undergraduate class in general or molecular biology before students have gained much...

    Keywords: Protein StructureproteaseEnzymechemical bondscatalysissolubility

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