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    9-012-PDEGuitarTuning-ModelingScenario
    We lead students through a derivation of a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation, and then play it on...

    Keywords: extensionsine wavesfrequencyguitardampingFourierstringtuning

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    Natural Selection and Galápagos Finches
    A worksheet and accompanying data set that guides students through making and interpreting frequency distributions, selection differentials, and fitness functions.

    Keywords: EvolutionResources @ HHMI - BioInteractive

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    Spreadsheet Tutorial 5: Histogram
    Generate a histogram using a variety of methods.

    Keywords: Resources @ HHMI - BioInteractiveScientific ProcessStatistics and MathScientific MethodologyHigh School

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    Modeling Strep Throat Detection, Infection, and Spread Using an SIR Model and the Vensim Simulation Software
    The overarching goal of this lesson is to provide students with an opportunity to gain experience making and using biological models. Biological modeling can be used to investigate complex,...

    Keywords: infectious diseasebiological modelingSIR 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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    Birthday Problem and Class Phenotypic Probabilities
    An Excel workbook exploring two related applications, the Birthday Problem and Class Phenotypic Probabilities. Students enter their own phenotypes into the workbook.

    Keywords: phenotypic probabilityallelic frequency

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    Effect of Florida Surface Temperatures Over The Past Four Decades on the Frequency and Intensity of Florida Hurricanes and Tropical Storms
    Tropical storms and hurricanes bring strong winds and heavy rainfall with the capability of destroying entire cities when these storms break landfall. Warm ocean waters are required to produce...

    Keywords: hurricane

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    Maintenance of Phenotypic Polymorphism and a Scientist Spotlight Featuring Dr. Swanne Gordon
    In this lesson students interpret graphical evidence of frequency-dependent selection in the wood tiger moth, then make long-term evolutionary predictions. They then read and reflect on an...
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    Exploring Fitness and Population Change under Selection: Avida-Ed Lab Book Exercise 3
    An introductory activity exploring the process of natural selection in action using the Avida-ED simulation.

    Keywords: population geneticsfitnessavida-edsoftware simulationsSelectionevolutionary fitness

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    Lake Mixing Module (Project EDDIE)
    Students explore spatial and temporal patterns of lake mixing using high-frequency temperature data from lakes around the world.

    Keywords: stratificationProject EDDIE

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    Antibody Binding
    This module introduces the Scatchard equation in the context of understanding antigen binding and the properties of antigens. It is intended for an introductory biology audience.

    Keywords: linear equationshyperbolic equationsCellular Processes

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    The Leaky Neuron: Understanding synaptic integration using an analogy involving leaky cups
    Students have difficulty understanding synaptic integration in neural circuits, and how spatial and temporal summation combine in a target neuron to reach threshold.  This Lesson uses small...

    Keywords: neuron physiologyspatial summationsynaptic integrationtemporal summationthreshold

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    2014-Vance-Eads-Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure
    We investigate a three-species nonlinear response omnivory model incorporating stage structure in the top predator. The model consists of four coupled ordinary differential equations involving...

    Keywords: stage structuresensitivity analysismortalityomnivoreomnivory modelsearch rates

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    Ain't No Mountain Pine Enough: A Case Study of How Mountain Pine Beetles are Affecting Ecosystem Processes
    This case study engages students in generating hypotheses and predictions, analyzing and interpreting data, critically evaluating contrasting results in science, and thinking about feedbacks...

    Keywords: population biologycarbon cyclingSpecies-habitat interactions

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    2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients
    We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.

    Keywords: impulseGreen functionsinstructional exposition

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    Nastic Movements in Plants
    This module introduces an osmotic model in the context of understanding plants' capability of rapidly adapting to changes in their environment. It is intended for an introductory biology audience.

    Keywords: plant physiologyhyperbolic equationsOpenStaxinterpreting modelsnastic movements

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    2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
    This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.

    Keywords: spatialsensitivity analysisgene regulatory networksstochasticbifurcationmetabolic networkselectrophysiologytransductionrate lawsbiochemical reactions

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    Using Place-Based Economically Relevant Organisms to Improve Student Understanding of the Roles of Carbon Dioxide, Sunlight, and Nutrients in Photosynthetic Organisms
    Biology students require broad preparation for diverse careers including agriculture, natural resource management, and laboratory research. Concurrent with this need, employers are seeking...

    Keywords: energyphotosynthesisbiomass

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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

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    Understanding Action Potential and Frequency Coding using Scientist Spotlight and Data Nuggets
    The main crux of this activity is to integrate three existing frameworks including ideas of the Scientist Spotlight Initiative, build and solidify the quantitative reasoning skills in our students...
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