Text Search:
Applied Filters
    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.
    167

    views

    81

    downloads

    0

    comments

    0

    adaptations

    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...
    243

    views

    130

    downloads

    0

    comments

    0

    adaptations

    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...
    220

    views

    238

    downloads

    0

    comments

    0

    adaptations

    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...
    365

    views

    328

    downloads

    0

    comments

    0

    adaptations

    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.
    2916

    views

    1987

    downloads

    0

    comments

    0

    adaptations

    2014-Rogert_Smith-Mathematical Modeling of Zombies
    Here, we use diffusion to model the zombie population shuffling randomly over a one-dimensional domain.
    118

    views

    65

    downloads

    0

    comments

    0

    adaptations

    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.
    167

    views

    35

    downloads

    0

    comments

    0

    adaptations

    Math anxiety and attitudes in biology undergraduate students
    Session presentation for BIOMAAP at the 2018 QUBES/BioQUEST Summer Workshop
    1265

    views

    284

    downloads

    0

    comments

    0

    adaptations

    2017-David_Morin-Oscillations
    So needless to say, an understanding of oscillations is required for an understanding of waves.
    116

    views

    60

    downloads

    0

    comments

    0

    adaptations

    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...
    143

    views

    54

    downloads

    0

    comments

    0

    adaptations

    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.
    247

    views

    413

    downloads

    0

    comments

    0

    adaptations

    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...
    155

    views

    61

    downloads

    0

    comments

    0

    adaptations

    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...
    121

    views

    43

    downloads

    0

    comments

    0

    adaptations

    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.
    97

    views

    38

    downloads

    0

    comments

    0

    adaptations

    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...
    814

    views

    123

    downloads

    0

    comments

    0

    adaptations

    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...
    703

    views

    105

    downloads

    0

    comments

    0

    adaptations

    Sequence Similarity: An inquiry based and "under the hood" approach for incorporating molecular sequence alignment in introductory undergraduate biology courses
    Introductory bioinformatics exercises often walk students through the use of computational tools, but often provide little understanding of what a computational tool does "under the...
    1845

    views

    632

    downloads

    1

    comments

    0

    adaptations

    Science “Fails”: A Bank of Historical Examples for Learning From Failure in Science
    Learning from failure is critically important to the processes of scientific inquiry, discovery, and invention. However, students are not routinely taught how to reflect on, learn from, and...
    4381

    views

    764

    downloads

    0

    comments

    0

    adaptations

    An active-learning lesson that targets student understanding of population growth in ecology
    Effective teaching and learning of population ecology requires integration of quantitative literacy skills. To facilitate student learning in population ecology and provide students with the...
    4699

    views

    930

    downloads

    1

    comments

    0

    adaptations

    Undergraduates Learn Evolution Through Teaching Kindergartners About Blind Mexican Cavefish
    The development and implementation of a scientific outreach activity comes with a number of challenges. A successful outreach event must match the sophistication of content to the audience, be...
    1094

    views

    120

    downloads

    0

    comments

    0

    adaptations