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    6-068-VisualizingPredator-PreyCycles
    In this modeling scenario, we propose a gentle introduction to limit cycles using nullcline analysis and a spreadsheet graphical approach via the fourth-order Runge-Kutta method. We will be...

    Keywords: nullclinespredator-preyGeometrypredatorRunge-Kuttapreylimit cycle

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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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    The Flight Physics Concept Inventory: Reliably Evaluating Aerodynamic Lift, Drag and Associated (Naïve) Concepts of Flight in Class and In-Game
    Students often struggle to transfer conceptual understanding from isolated instruction to a coherent mental model. This is especially true for the context of flight physics, fluid dynamics, or the...

    Keywords: active learninggamificationmisconceptionsaerodynamicsfluid dynamicsResearch-based assessment instrumentConceptual SurveyPRE-/POST-test

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    Unveiling Lizard Evolution: Graphical Insights into Behavioral Ecology in the Era of Climate Change
    This lesson targets entry-level undergraduate students to enhance their proficiency in comprehending and interpreting scientific graphs. The lesson incorporates group discussions centered around...

    Keywords: evolutionary ecologygraph interpretationfmnBioGraphIrepresentation in STEM

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    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation...

    Keywords: perturbationregular perturbationasymptotic expansionsanalytical approximationBernoulli equation

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    The (STEM)2 Network - Sustainable, Transformative Engagement across a Multi-Institution and Multidisciplinary STEM Network (RCN-UBE Introduction)
    Enhance undergraduate STEM education by promoting new and strengthening existing collaborations among biology, chemistry, and math faculty at 2- and 4-year institutions; and support faculty in...

    Keywords: RCN-UBE Introduction

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    Fatty Acid Induction of Lipid Droplets in Cancer Cells
    There is a growing need for the development and communication of cell culture-based laboratory activities specifically designed for undergraduate students. This multi-week laboratory activity...

    Keywords: Course based undergraduate researchCell ImagingLive Cell Staining

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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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    Environmental Pollution & Public Health (Project EDDIE) used in an introductory Environmental Challenges course
    Environmental health is a field of study within public health that is concerned with human-environment interactions, and specifically, how the environment influences public well-being. In this...

    Keywords: public healthProject EDDIEpollution

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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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    Using IPAT to Measure Urban Sustainability
    Urban sustainability can be complicated to measure because sustainability means different things to different people. This challenge can be partially overcome through adoption of a guiding...

    Keywords: datasurveyurban ecosystemsUrban sustainability

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    Using Collaborative Projects to Promote Active Learning of Microbial Skin Diseases and Their Impact on Everyday Lives
    One of the most daunting aspects of introductory clinical microbiology is learning details about a vast number of different microbial diseases that can infect humans. Each of these diseases has...

    Keywords: infectious diseasecollaborationpathogenesisTreatment of diseasesReal-life Microbiology

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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

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    Good Drug, Bad Practice: Tackling the Ivermectin Fiasco
    Throughout history, biomedical advancements have alleviated suffering worldwide and significantly advanced human well-being. As researchers and educators, we are well-familiar with the...

    Keywords: Peer reviewCOVID19fraudtherapeutic drugIvermectin

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    2020-Cline-EtAl-A Vision for Projects Across the Mathematics Curriculum
    We describe a model that incorporates projects at all stages across the undergraduate mathematics curriculum. Finally, we provide samples of projects that we have used in selected courses.

    Keywords: projectstechnical writinginterdisciplinary skills

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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-Joseph-EtAl-A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM
    In this paper, we investigated a nonlinear differential equation mathematical model to study the spread of asthma in the environmental pollutants from industry and mainly from tobacco smoke from...

    Keywords: asthmatobacco smokeLiao’s Homotopy analysis Method (environmental pollutants

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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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