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    1972-R_C_Rothermel-A Mathematical Model for Predicting Fire Spread in Wildland Fuels
    The development of a mathematical model for predicting rate of fire spread and intensity applicable to a wide range of wildland fuels is presented from the conceptual stage through evaluation and...

    Keywords: predictionforest firefire managementfire spreadfuel

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    Teaching Exponential and Logistic Growth in a Variety of Classroom and Laboratory Settings
    Experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 9

    Keywords: Resources @ ESA - TIEEpopulation growth

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    2023-TechShareNotes. Differential Equations Modeling
    TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as...

    Keywords: population dynamicspredator-preycircuitreactionspring masspharmacokineticscooling

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    More information about the Discovery – Doing Science Biology Education Conference
    2023 Conference Theme - Variants in Biology Education: What can we learn from pandemics?

    Keywords: LDC2023

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    1-011-Kinetics-ModelingScenario
    We make the connection between chemistry course and differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction. We study zeroth, first, and second order...

    Keywords: kineticschemistryLaw of Mass Actionchemical kineticsorder of reactionchemical reaction

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    3-073-EarthQuakePartII-ModelingScenario
    Your goal here is to determine how much friction/damping should be designed into a building to keep the roof from moving too far (which would result in the entire building collapsing) when it...

    Keywords: earthquakevibrationdampingamplitudespring-mass systemsteady-state solutionunderdamped

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    4-036-AltitudeDependentGravity-ModelingScenario
    When projectiles are way above Earth's surface gravity's changes become important when dealing with projectiles at high altitudes. We lay out an approach for such a case which is a second-order...

    Keywords: agravityprojectilelinearizationltitufealtitude

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    6-007-FunctionsAndDerivativesInSIRModels-ModelingScenario
    Given a system of differential equations, how do the solution graphs compare with the graphs of the differential equations? Students tackle this question using SIR models for well-known infectious...

    Keywords: epidemiologyspecies interactionsderivativesvisualizationinfectionSIR modelsLaw of Mass Action

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    9-152-HorizontalBeam-ModelingScenario
    This scenario is designed to lead students to discover a differential equation that models the vertical deflection of a horizontal beam under different boundary conditions.

    Keywords: Polynomial dynamical systembeamcantilever

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    Movement: Nature's Flying Machines
    In this lab, you will explore the physics of flight, the adaptations that make powered flight possible, and the evolution of powered flight in vertebrates and invertebrates.

    Keywords: citizen sciencequantitative skillsDigital RepositoryFlight

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    1994-T_Gruszka-A_Balloon_Experiment_in_the_Classroom
    The experiment consists of dropping a balloon from two different heights and recording the time it takes to hit the floor. The following experiment involves a balloon, a stopwatch, and a...

    Keywords: differential equationsresistancegravityfree fallaccelerationballoon

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    2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
    We let the author's Table of Contents speak for itself.

    Keywords: differential equationsmodelingtextbook

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    A Lesson on Matter and Energy at the Organismal Scale: Linking Patterns and Processes Across Diverse Taxa
    Pathways and transformations of energy and matter (PTEM) are a conceptually challenging but essential component of biological literacy. Curricular gaps about PTEM nevertheless remain; although...

    Keywords: plantsenergyAnimalsfungimatterorganismal scale

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    Learning to Pipet Correctly by Pipetting Incorrectly?
    Beginning undergraduate students in biology need basic laboratory, data analysis, and science process skills to pursue more complex questions in course-based undergraduate research experiences...

    Keywords: statisticslaboratorypipetting

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    5-007-ChemOpt-ModelingScenario
    Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.

    Keywords: optimizationpYield and sustainabilitynonprofit managementLaw of Mass Actionkineticreaction

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    Osmosis: Determination of the rate of osmosis and the isotonic concentration
    This module contains exercises designed to help students understand how solute concentrations affect the direction and rate of osmosis. Students are given different scenarios to predict the...

    Keywords: introductory biologyQuantitative reasoninginterdisciplinarycell functionOsmosisNIQBC2. Data and GraphsC4. mathematical modelsC6. Quantitative LanguageC1. NumeracyC5. Logic and Algorithms

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    2017-Adolfo_Rumbos-Differential Equations and modeling
    The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a...

    Keywords: pendulumLotka Volterra equationsexistenceuniqueness

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    2011-Steven_Desjardins-Remi_Vaillancourt-Ordinary_Differential_Equations_Laplace_Transforms_and_Numerical_Methods_for_Engineers
    This text is packed with worked out presentations, problems, and exercises (with solutions) and MatLab code. There is sufficient detail and attention to topics to more than address interests/needs...

    Keywords: modelingtextbookmatlabengineeringLaplace transform

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    1-105-AnimalFall-ModelingScenario
    This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.

    Keywords: animalNetwon's Second Law of Motionfalling bodyterminal velocityair resistanceNewtonair frictionfall

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    3-110-MilitarySpringMassApplication-ModelingScenario
    The is a collection of different scenarios for the shock system of a trailer. In each scenario, students will transform the shock system of a trailer into a second-order differential equation,...

    Keywords: dampingresonancebeatsspring-mass systemLaplace TransfomDirac Delta function

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