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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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    3-002-ModelsMotivatingSecondOrder-ModelingScenario
    Ordinary differential equations involve second derivatives and second derivatives appear in many contexts, chief among them are the study of forces and resulting motion. This is principally because...

    Keywords: resistancespring massoscillationHooke's Lawdampening

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    2008-Keith_Landry-Brian_Winkel-Peak_Frequency_Responses_and_Tuned_Mass_Dampers
    We present two applications of systems of ordinary differential equations concerning excitation of a structure through resonance and (1) peak frequency responses with stabilization of the...

    Keywords: vibrationresonancetuned mass damperpeak frequency responseexcitation

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    A Momentum-First Approach to Newton’s Second Law
    Students frequently struggle with seeing the connection between forces and motion in introductory physics. This lesson is part of a combined momentum and kinematics unit that first teaches...

    Keywords: group workMomentumNewton's Laws

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    2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems
    These models of chemical reactions are systems of coupled nonlinear differential equations on the positive orthant.

    Keywords: biochemicalkineticsreactionreaction networkmass action

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    2020-TeachingModule-SpringDesignToMeetSpecsAtMinimumCosts
    We discuss a Modeling Scenario in which students are asked to design a spring mass system at minimum costs give relative costs of features of the spring.

    Keywords: moduleoptimizationspring massmassspring\costTeaching Moduleminimal cost

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    Mysterious Occurrences: Representation, Resiliency, and Redundancy in Native Plant Populations
    Meet Dr. Rachel Hackett, a conservation plant biologist at the Michigan Natural Features Inventory.  We learn about Rachel's job and the restoration of threatened and endangered species. Rachel...

    Keywords: digital resourcesendangered speciesconservation sciencePlant Resilienceplant biodiversitydata skills

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    3-101-SpringMassFirstTry-NoResistance-ModelingScenario
    Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with no damping.

    Keywords: frequencymassoscillationundampedspring constantspring\Single Degree of Freedom System

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    Globally endangered sea turtles of the Palmyra Atoll National Wildlife Refuge: A Focus on Scientific Analysis
    Based on the sea turtle case, students will (1) work on a worksheet by analyzing existing survey data, (2) conduct a literature review of two relevant research, and (3) draft a proposal for a...

    Keywords: sea turtle conservationliterature reviewResearch methodsProposal writingPalmyra Atoll

    1970

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    2017-Guy-Bart_Stan-Modelling in Biology
    This is a very rich set of notes, rich in examples and ideas for modeling. In almost all cases after a model is introduced in real context there is attention to stability analysis.

    Keywords: spring massbifurcationmass actionlimit cycles

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    2013-Boscolo-Stellato-Undergraduate study of harmonic and parametric motion of a simple spring-mass system from motion waveforms
    In this paper, we describe a laboratory exercise that caters to beginning students while giving those with more background an opportunity to explore more complex aspects of the motion.

    Keywords: laboratoryexperimentspring massair frictionapparatuswaveforms

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    3-091-SpringModeling-ModelingScenario
    In this lab students will collect data on their spring mass systems and compare their empirical models to their theoretical ones—giving them an opportunity to actually test a model against data.

    Keywords: datalaboratoryLoggerProVerniermass-spring systemmodel validationempirical modeltheoretical model

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    What is Speciation, How Does It Occur, and Why Is It Important for Conservation?
    Speciation provides a framework for classifying biodiversity on Earth and is a central concept in evolutionary biology. To help undergraduate students learn about speciation, we designed a...

    Keywords: EvolutionconservationGenetic DriftSpeciationNatural SelectionBiological species conceptgene flowMorphological species conceptPhylogenetic species concept

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    Traditional Ecological Knowledge and Conservation
    Traditional Ecological Knowledge (TEK) is based on deep understanding of systems from observations made over hundreds to thousands of years. This resource connects TEK to modern conservation...

    Keywords: climate changeenvironmental justiceTraditional ecological knowledge

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    3-060-DataToDifferentialEquation-ModelingScenario
    Students use knowledge of second-order linear differential equations in conjunction with physical intuition of spring-mass systems to estimate the damping coefficient and spring constant from data.

    Keywords: Association & Data Fittingmassspring-mass systemspring\total distancenumerical differentiation

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    2012-Rusinko-Swan-Agent-Based Fabric Modeling Using Differential Equations
    We use an agent-based modeling software, NetLogo, to simulate fabric drape by applying a modified mass spring system.

    Keywords: NetLogospring massagent-baseddrapingyarnfabric

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    Seed Dispersal in Tropical Forests
    In this activity, students use data from published studies to understand patterns of seed dispersal and apply these ideas to the design of a conservation area.

    Keywords: ecologyResources @ HHMI - BioInteractivecommunityplantsdiversityScientific Process

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    Adaptation of Plants in the Human-Altered Environment (PHAE) for a non-lab course on biodiversity conservation
    PHAE is a project to compare effects of landscape alteration intensities on plant biomass and diversity. This adaptation modifies the (adapted) modules for a non-lab course on conservation,...

    Keywords: erenNEONdiversitybiomass4DEE Frameworkecosystemsocioeconomic effects

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    Cutthroat trout in Colorado: A case study connecting evolution and conservation
    Evaluation of evidence is a key process skill for the core competencies of applying the process of science and using quantitative reasoning. This case study enables upper-division biology students...

    Keywords: population geneticsphylogeneticsSpeciationdivergencegene flow

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    5-040-TunedMassDamper-Part-I-Modeling Scenario
    We offer an opportunity to build mathematical models to mitigate dangerous displacements in structures using structural improvements called Tuned Mass Dampers. We model the motion of the original...

    Keywords: structurespring-mass-dashpotspring massearthquakevibrationtuned mass tunerrestoring forcecontroldampe

    409

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