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    1981-Geoffrey_Berresford-Differential Equations and Root Cellars
    This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass...

    Keywords: temperaturethermal conductivityheat flowthermal diffusivityroot cellar

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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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    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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    2017-Ben_Finio-Science Buddies – Linear & Nonlinear Springs Tutorial
    This tutorial provides a basic summary of linear and nonlinear springs and their associated equations for force, stiffness, and potential energy.

    Keywords: spring massstiffnessspringspotential energyforcenonlinear springlinear spring

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    2006-Han-EtAl-Ordinary differential equation models for ethanol pharmacokinetic based on anatomy and physiology
    Physiologically-based pharmacokinetic (PBPK) models have been used to describe the distribution and elimination characteristics of intravenous ethanol administration.

    Keywords: liverwortsintraveneouspharmacokineticsethanolethanol infustionpharmacodynamictissue model

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    2015-Dan_Sloughte-Notes on Diffy Qs Differential Equations for Engineers
    This is a calculus book with the last chapter devoted to ordinary differential equations topics. The effort begins with a study of numerical methods and goes through traditional technique strategies.

    Keywords: Numerical Methodspendulumtext

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    3-065-UpDown-ModelingScenario
    We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and...

    Keywords: terminal velocityNewton's Second Law of Motionvelocitymotionapex

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    3-104-BungeeJumping-ModelingScenario
    In this project, students design a bungee jumping cord (cross-sectional area and length) that will keep jumpers safe. Students communicate their recommendations as a letter to a client interested...

    Keywords: designfallingmassspring\bungeeelesticityrecommendationconsult

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    1-045-TimeOfDeath-ModelingScenario
    Students are asked to determine the time of death given both environmental temperature situations and two observations of body temperature under several different circumstances.

    Keywords: body masstemperaturedeathNewton's Law of Coolingbody temperature

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    1-083-FallingMeteorites-ModelingScenario
    After introducing the solution to the ordinary differential equation which models a falling object with drag (first-order, non-linear, separable), students will consider generalizing the model to a...

    Keywords: falling objectdragvariable massfactor rankingmeteormeteorite

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    1-120-CircularRollerCoaster-ModelingScenario
    Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction....

    Keywords: population dynamicsenergyFluid Mechanicsmfrictionroller coasterintegration by8 parts

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    4-020-AnIEDBlast-ModelingScenario
    These three exercises offer students a chance to model with second order ordinary differential equations, how they might incorporate a spring-mass system into a larger model, and how they can use...

    Keywords: applied mathematicsforcesFree Body DiagramImprovised Explosive Devicessum of forces

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    3-080-PendulumModeling-ModelingScenario
    We lead students through building model for several pendulum configurations in motion and ask students to compare results.

    Keywords: pendulumperiodlinearization

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    Cardiac Output
    This module introduces Fick's principle in the context of understanding the cardiac output. It is intended for an introductory biology audience.

    Keywords: linear regressionproportionslinear equationsOpenStaxAnimal Physiology

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    Translocation of Nutrients in the Phloem: Dixon's Paradox
    This module introduces the Dixon equation in the context of understanding nutrient transport through sieve tubes. It is intended for an introductory biology audience.

    Keywords: plant physiologylinear regressionlinear equations

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    Exploring the functionality of R
    Students work with example data to generate a length-weight plot and use lm() to obtain regression coefficients. Base plot functions are used to plot both the data and the regression line.
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    The effects of Avian Malaria On Pigeon Fledging Growth
    Poster on a case that combined Biology and Statistics in a student research project presented at the 2018 QUBES/BioQUEST Summer Workshop

    Keywords: biostatisticsstatistical analysisavian malariaSummer Workshop 2018

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    What is a species? Using DNA barcodes to identify species and determine insect responses to global warming
    Combining ecology, molecular tools and physiology, students investigate insect adaptation to temperatures along tropical mountains. Students integrate species concepts, DNA barcoding and thermal...

    Keywords: global warmingbeetleBiological species conceptCephaloleiacrticial thermal maximumcryptic specieselevational gradientsthermal limitstropical insectsZingiberales

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    2015-Sebesyen-Farago-Invasive Species Model with Linear Rat Harvesting on Easter Island
    In this paper we suggest a natural modification of this model. Namely, we will investigate the case where the amount of the rats is decreased due to some external factor, e.g., exterminations by...

    Keywords: carrying capacityharvestEaster Islandinvasie especiesratsRoughgarden theorem.

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    1972-R_C_Rothermel-A Mathematical Model for Predicting Fire Spread in Wildland Fuels
    The development of a mathematical model for predicting rate of fire spread and intensity applicable to a wide range of wildland fuels is presented from the conceptual stage through evaluation and...

    Keywords: predictionforest firefire managementfire spreadfuel

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