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    2015-H_Sayama-Intro to Modeling and Analysis of Complex Systems
    Introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science.

    Keywords: textbooktext

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    2001-A_Tsoularis-Analysis_of_logistic_growth_models
    The paper presents an historical development of the logistic equation in its various forms, including Verhulst, Pearl and Reed, Gompertz, Bertalanffy, Richards, and others.

    Keywords: logisticpopulationgrowth curvelimited growthGompertzhistorylogistic equationVerhulstPearl and ReedBertalanffyRichards

    101

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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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    1-001-MM-DeathAndImmigration-ModelingScenario
    We conduct a simulation of death and immigration, using a small set of "individuals", m&m candies or any two sided object (coin, chips), in which upon tossing a set of individuals we cause some to...

    Keywords: simulationimmigrationdeathSpanishdatsWinkelBrian Winkel

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    3-043-BallisticModeling-SpongeDart-ModelingScenario
    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance.

    Keywords: projectile motionair resistanceballisticsdimensional analysisNewtonian mechanicssponge dartNerf gunNerf dartBuckingham's Theorem

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    1-074-BottleWaterFlow-ModelingScenario
    We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow.

    Keywords: bwaterTorricelli's Lawbottle

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    6-012-RiverCrossing-ModelingScenario
    Students develop a model of a river crossing in a boat with thrust using Newton's Second Law of Motion from a Free Body Diagram they construct. The model is thence a system of one second order...

    Keywords: dragonNewton's Second Law of Motionriver crossinriver currentvelocity profilethrustFree Body Diagram

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    The 4-Minute Summary: Helping students recall, recap and explain the big picture... and much more!
    Actively engaging students during a lecture class can come through many formats.  The 4-Minute Summary is a versatile pedagogy that can be readily applied to any class format (e.g.,...

    Keywords: active learningDiscussionLarge classSummary

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    Sizes, Scales and Specialization: Adapted to add scientific notation review
    This module explores how cell size and shape varies across cell types in the human body by having students calculate relative proportions of numbers in scientific notation. The adaptation has...

    Keywords: ExponentsRatiosScientific Notationcell typeqbccmanipulate equationsCellular and Molecular Biologyconverting unitschanging scales

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    Free Math Games for Algebra, Pre-Algebra and Co-requisite Courses
    These three games were created as part of grant #1501499 for the National Science Foundation. Games cover concepts in pre-algebra, algebra and precalculus, but can also be played just for fun!

    Keywords: math phobiaintroductory matheducational video games

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    Sizes, Scales and Specialization: Using Relative Proportions and Scientific Notation to Highlight the Diversity of Cell Types
    This module explores how cell size and shape varies across cell types in the human body by having students calculate relative proportions of numbers in scientific notation.

    Keywords: ExponentsRatiosCellsqbccmanipulate equationsCellular and Molecular BiologyVisual Accommodationsconverting unitschanging scales

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    The Evolution (and Coevolution) of Flowering Plants Virtual Classroom
    In this lab, you will explore the diversity of flower and fruit adaptations that have evolved to accomplish pollination and seed dispersal and you will investigate the coevolution of angiosperms...

    Keywords: digital resourcespollination biologynatural history collectionsFloral Diversity

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    (Online) Figure of the Week: Skills for Interpreting Comparative Genomics Figures
    Students use their number sense to make observations and explain or guess at patterns shown, discussing in a weekly online Q&A forum.

    Keywords: graphsonline learningmath anxietyonline forummath attitudesResources @ BIOMAAPInterpreting Graphsdiscussion forumComparative genomics

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    Figure of the Week (Non-major's Biology)
    Students use their number sense to make observations and come up with reasonable guesses or explanations for the patterns shown.

    Keywords: graphsmath attitudesResources @ BIOMAAPInterpreting Graphs

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    Some Figures of the Day for Microbiology
    Students use their number sense to make observations and come up with reasonable guesses or explanations for the patterns shown. These are some specifically for microbiology.

    Keywords: graphsmath attitudesResources @ BIOMAAPInterpreting Graphs

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    Figure of the Day
    Students use their number sense to make observations and come up with reasonable guesses or explanations for the patterns shown.

    Keywords: graphsmath attitudesResources @ BIOMAAPInterpreting Graphs

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    Diseasebots
    This module explores the effects of host density on contact rates and transmission of pathogens or mutualist symbionts using a hands-on simulation, a computer agent-based model in NetLogo, and an...

    Keywords: NetLogoDisease ecologydensity dependenceSpreadsheethost-parasitemutualismOpen-inquiry group projectsmanipulative models (‘beanbag biology’)plotting

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    Quantitative biology: how educators that "buy-in" demonstrate greater productivity in teaching scholarship
    Poster presented at the University of Pittsburgh undergraduate research symposium on the impact of buy-in on productivity in faculty mentoring networks.

    Keywords: faculty mentoring networks

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    Navigating Bacterial Changes in Aging Organisms: Graphs, Patterns, and Models
    Aging is an incredibly important area of research, and recent biological advances implicate the intestines in aging pathologies. Given that the gut harbors an immense amount of an organism’s...

    Keywords: statisticsgraphingmathematics for life sciencesmathexponential growthPrecalculus

    104

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    2017-Andrew_Lewis-Introduction_to_Differential_Equations_for_Smart_Kids
    The author addresses the question, "If I do not teach all of the usual techniques and tricks for solving differential equations, what do I replace it with?" in a number of wonderful ways.

    Keywords: differential equationsmodelingtextbook

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