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    10-100-InsectOutbreaks-ModelingScenario
    We use a system of difference equations that incorporates a temperature-dependent MPB population growth rate to model the outbreak and recovery cycle in mountain pine beetle-infested forests.

    Keywords: ecologyclimate changeinsectinsect outbreaksinsect outbreaksolitary wave

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    Case Study: Pollination of the Early Spider Orchid (Ophrys sphegodes) by the Solitary Bee (Andrena nigroaenea)
    The research uses natural history collection data to explore a potential phenological shift between an orchid that employs sexual deception and a solitary bee.

    Keywords: pollination biologyClimate change and phenologydigitized natural history collectionsPseudocopulation

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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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    9-010-TravelingWave-ModelingScenario
    Students are taken through a traveling wave analysis of a porous medium model. While the starting point is a nonlinear partial differential equation model, after a change of variables, students...

    Keywords: traveling wavesseepage velocityporous medium

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    1-096-OP-AMP-Differentiator-ModelingScenario
    The output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and compared with...

    Keywords: simulationMeasurementfeedbackMultisimcircuitvoltageoperational amplifiervalidationSPICE

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    Altruism Simulation Activity
    An altruism activity that uses a NetLogo altruism simulation.

    Keywords: Evolutiontool:netlogoanimal behavioraltruism

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    Working with plant phenology data and fitting a nonlinear model using least squares in R
    A participatory live-coding lesson on working with NEON phenology data and fitting a sine-wave model to determine when different species get and lose their leaves.

    Keywords: modelingRphenologyNEONRstatscodeparticipatory live-coding

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    2014-Rogert_Smith-Mathematical Modeling of Zombies
    Here, we use diffusion to model the zombie population shuffling randomly over a one-dimensional domain.

    Keywords: kineticsZombiezombificationinteraction times

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    2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
    This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.

    Keywords: population dynamicslogistic equationlocation-dependent carrying capacities

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    Math anxiety and attitudes in biology undergraduate students
    Session presentation for BIOMAAP at the 2018 QUBES/BioQUEST Summer Workshop

    Keywords: math anxietymath attitudesBIOMAAPSummer Workshop 2018

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    2017-David_Morin-Oscillations
    So needless to say, an understanding of oscillations is required for an understanding of waves.

    Keywords: dampingfrequency responseresonanceoscillationbeatsunderdampingharmonic oscillatorsover dampingcritical damping

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    1977-Michael_Mackey-Leon_Glass-Oscillation and Chaos in Physiological Control Systems
    First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of dynamical behavior including limit cycle...

    Keywords: sensitivitychaosparametersRespirationdelayblood cells

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    9-030-WaterHammer-ModelingScenario
    We develop and apply a numerical algorithm that solves a system of two nonlinear partial differential equations (PDEs) that describes the time evolution of the water hammer phenomenon.

    Keywords: Stock and Flow modelhyperbolic equationsfinite differenceswater hammerhydrodynamicscompressibilitywave celerity

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    2014-Robert_Terrell-Notes_on_Differential_Equations
    We point out that the title is not Solving Differential Equations; we derive them, discuss them, review calculus background for them, apply them, sketch and compute them, and also solve them and...

    Keywords: octaveengineeringtextsbook

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    2016-Langtangen-Pedersen - Scaling of Differential Equations
    Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations...

    Keywords: scalingdimensionlesscontinuum mechanics

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    2014-William_Trench-Elementary_Differential_Equations-Books_and_Monographs
    This is the most widely cited and referenced free online text for differential equations and is very complete. These two books are exactly what they say they are.

    Keywords: differential equationstextbook

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    Teaching the Photoelectric Effect Using an Open-Source Interactive Simulation
    The photoelectric effect is one of the fundamental experiments that established the basis of quantum mechanics. Students studying this experiment in modern physics courses struggle to understand...

    Keywords: photoelectric effectquantum mechanicsquantalight-matter interactions

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    How Many Squirrels Are in the Shrubs? A Lesson Plan for Comparing Methods for Population Estimation
    Estimating the population sizes of animals is a key skill for any student interested in ecology, conservation, or management. However, counting animals in natural habitats is difficult, and the...

    Keywords: population ecologywildlife managementpopulation estimationsciuridaeSquirrel-Net

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    Green Design: How do Leaf Structures Optimize Photosynthesis and Promote Survival?
    One of the major learning objectives established by the American Society of Plant Biologists and the Botanical Society of America has students answer the question: How do plant structures enable...

    Keywords: photosynthesisepidermal layerleaf anatomymesophyllpalisade parenchymaplant anatomyplant structure functionspongy parenchymaStomata

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    A Short Bone Biomechanics Primer: Background for a Lesson on Bone Viscoelasticity
    The skeletal system is the first of the body systems that we discuss in-depth in our Physiology & Anatomy courses (PNB 2264/2265 and PNB 2274/2275) in the Department of Physiology and...

    Keywords: structure-functionbiomechanicsAnisotropyViscoelasticity

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