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    1-190-IntroClass-ModelingScenario
    Students go through development of ideas in mathematical modeling with differential equations. They encounter fundamental ideas of unlimited population growth, limited population growth and a...

    Keywords: population dynamicspredator-preylogisticexponentialgraphical interpretationsqualitative analysis

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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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    1993-Paul_Blanchard-Teaching Differential Equations With a Dynamical Systems Viewpoint
    This is an early discourse on the dynamical system view point of teaching differential equations with a number of rich illustrations.

    Keywords: dynamical systems

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    6-020-AlgaePopulationSelf-Replenishment-ModelingScenario
    This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, in 1994. A

    Keywords: algaepopulationMexicoqualitativecompartmentlinearizationJacobianlaknondimensionalizationpplane

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    Wing Aspect Ratio and Morphological Measurement Analysis Relating to Bird Flight and Natural History
    This activity simulates analysis and identification of bird specimens based on the relationship of the natural history of bird species with the morphographic measurements and ratios compared to...
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    Strategic Planning for REU and Research Readiness
    Students complete a personal strategic plan, examining their strengths, vision and mission for completing an REU or research experience.

    Keywords: undergraduate researchREUstrategic planningSWOTresumepersonal statement

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    1-143-PopulationModelVariationsMATLAB-ModelingScenario
    Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models.

    Keywords: population dynamicsecologylogistic growthbifurcation theoryslope fieldsextinctionharvestingqualitative analysisstocking

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    Introduction to Mathematical Modeling in Biotechnology, Cell Biology, and Physiology
    The course is a mathematical and computational exploration of five diverse areas of biology: human locomotion, gene sequence analysis, signal transduction pathways involved in cancer,...

    Keywords: mathematical modelingcoursehuman locomotionneuroanatomyneurophysiologysignal transductiongene sequence analysis

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    Deadly Windows Data Nuggets Module - Adapted for Preservice Elementary Teachers
    Adaptation of Data Nuggets Module Deadly Windows for an Elementary Education Science Methods Course

    Keywords: teacher educationDataNuggetsscience teacher preparationmiddle grades (4-9)

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    1-037-CommonColdSpread-ModelingScenario
    This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more...

    Keywords: diseasecommon coldresidence hall

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    1-009-Bifurcation-TechniqueNarrative
    We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as...

    Keywords: bifurcationqualitative behaviorbifurcation diagram

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    2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
    Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.

    Keywords: population dynamicslogisticInquiry-based modelingIBL

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    3-004-VanderPol-ModelingScenario
    This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a well-known nonlinear second-order ordinary differential equation.

    Keywords: phase planeVan der Pol oscillatorlimit cycleRunge-Kutta methodLienard equation

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    2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
    Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide...

    Keywords: infectious diseasepVector-Borne Diseaselagueplague

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    2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
    Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the...

    Keywords: sensitivitydiseaseinfectionthresholdcompartmentbifrucation

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    6-065-InternetPlatformUsers-ModelingScenario
    A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical...

    Keywords: dynamicsflowconservedfixed pointscycletinternet platformdiverghenceJacobianattractingrepellingnodesstablesaddlespiral

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    1-076-ClimateBifurcation-ModelingScenario
    We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.

    Keywords: energy balanceclimateenergyalbedoHysteresisbifurcationice-agegreenhousebalanceStefan Boltzmann Law

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    1-087-ThanosPopulationDynamics-ModelingScenario
    In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this...

    Keywords: logisticexponentialpopulationThanos

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    1-065-AlgalBlooms-ModelingScenario
    This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, starting in 1994.

    Keywords: direction fieldstool:dfieldalgaeharmful algae bloomspopulationcompartmentLake Chapala

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    1-091-InvestigatingSlopeFields-ModelingScenario
    Students will gain experience writing differential equations to model various population scenarios, they will create slope fields to view the solution curves using software, and they will discuss...

    Keywords: slope fieldspopulation

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