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    2012-Lensyl-Urbano-The Draining of a Plastic Bottle-Integrating a Physics Experiment into Calculus
    I punched a small hole (about 1mm radius) in a one gallon plastic bottle and had my students measure the rate at which water drained.

    Keywords: in-class activityexperimentTorricelli's Lawcylinder of waterexpderiment

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    2009-G_Recktenwald-Tank Draining Exercise
    This paper describe deep mathematics, including differential equations concerned with modeling the draining of tank and the shape of the water coming out the bore hole at the bottom of the tank of...

    Keywords: laboratorytankLabViewBermoulli equationempty drainingcolumn of liquidpressure

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    2018-Chris McCarthy-Newtons Law of Cooling
    You have hot water (initial temperature ) in a container, say a cup or glass. The temperature in the room is cooler, say a constant degrees Celsius. Come up with a differential equation that models...

    Keywords: datawaterNewton's Law of Coolingcooling

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    7-040-TankInterruptMixing-ModelingScenario
    We present a first order differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

    Keywords: Laplace transforminverse Laplace Transformsalttankmixinginterrupt

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    Investigating human impacts on stream ecology: locally and nationally
    How does nutrient pollution impact stream ecosystems locally and nationally?
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    Critical Zone Science
    My class used Water Balance of a Tree (Unit 5.1) to begin quantifying the fundamental pathways for water movement within a forest. The ultimate goal was to model transpiration of the redwood forest...
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    2000-deOlivera-Delfino-Costa-Leite-Pinhole Water Flow From Cylindrical Bottles
    The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest...

    Keywords: Torricelli's LawConservation of EnergytConservation of MassBernoulli’s Theorem

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    3-070-FallingInWater-ModelingScenario
    We model a small canister with ballast to keep it vertical as it falls through water in a graduated cylinder filled with water. We suggest several models in terms of resistance due to the media and...

    Keywords: datawaterresistancefallingbuoyancymass

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    2004-Hill-Lozowski-Sampson-Experiments on ice spikes and a simple growth model
    We observed ice-spike growth using time-lapse digital photography, using two water types in two different containers.

    Keywords: iceice spikebulk heat transfermass conservation

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    1-110-TidePoolSnails-ModelingScenario
    Students use linear differential equations to model temperature change, in a sand tide pool and inside the shell of a snail in the tide pool. We offer data on temperature in a tide pool as the...

    Keywords: datasnailstemperatureNewton's Law of CoolingcoolingNewtonwarmingtital pooltide pool

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    1-140-LeakyBucket-ModelingScenario
    We seek to model the height of water in a cylindrical tank (bucket) in which water flows out the bottom of the tank through a small bore hole while we are pouring water into the tank at the top...

    Keywords: flowTorricelli's Lawleaky bucket

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    Oyster Restoration Success and Water Quality in the James and Rappahannock Rivers of Virginia
    This QUBES lesson uses statistical analysis to test whether or not oyster restoration sites in Virginia are successfully increasing the number of oysters and whether or not water quality is...

    Keywords: aquatic ecologymarine ecologyggplot2Pearson correlation coefficientSimple Linear RegressionnitrogenJames Rivertidyversechesapeake baywater qualityphosphorusharmful algae bloomsvirginia

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    Linking Genotype to Phenotype: The Effect of a Mutation in Gibberellic Acid Production on Plant Germination
    Basic concepts in genetics and plant development are often taught in lecture courses without a lab component. This approach provides students with the content knowledge, but fails to make...

    Keywords: geneticsdevelopmentmutationgerminationplantmodel organismGenotype/PhenotypeHormoneSeed

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    Geography and Embodied Perceptions: a pathway to reanimating rivers through lived experiences.
    In this lesson students embark upon a journey through the many ways we come to know a watershed, with foci on its physical geography and our embodied perceptions. This enables students to formulate...

    Keywords: PhilosophygeographyRiver Field Studies Networkperceptionwatershednature journalexperiencesensationhumanityplacehomeembodied perceptionsense of placeplace attachmenttransdisciplinaryqualitative methodscalable

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    Assessing Socioeconomic Trends in Tree Cover and Human Health in Urban Environments
    In this exercise, students use a combination of publicly available data and tree cover data that they generate using iTree Canopy to test whether tree cover is equitably distributed within the city...

    Keywords: social justiceSimple Linear Regressionenvironmental justiceGeographic Information System (GIS)Using ExcelConnection to PlaceredliningEcosystem Servicesurban tree coverurban environments

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    Biological Diversity in Wetlands: Applying the Scientific Method
    An introduction to the Scientific Method for Introductory Biology students using plant and animal richness and environmental data from ephemeral ponds and permanent wetlands.

    Keywords: Resources @ ESA - TIEEintroductory biologyscientific methodspecies richnessaquatic ecologyfmnDIGenvironmental variationMicrosoft Excelhabitat permanencyupper level wetland ecology

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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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    Wind and Ocean Ecosystems (Project EDDIE)
    This module introduces students to the concepts of Ekman transport, eastern boundary currents, and upwelling, while learning how to find a location on a map using latitude and longitude, how to...
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    Engaging Undergraduates in Mechanisms of Tubular Reabsorption and Secretion in the Mammalian Kidney
    If students fail to see the connections among physiological systems, they can become overwhelmed with the amount of information they need to learn. Some students have particular difficulty with the...

    Keywords: OsmosisActive transportMass flowRenal reabsorptionRenal secretionTransport across membranes

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    Investigating human impacts on local Hawaiian stream ecology
    Students learn about stream ecology on the island of Hawaii using data available through USGS and University of Hawaii websites and develop an understanding for potential stream changes due to...

    Keywords: climateStream ecologyHawaii CountyTopographyMap ReadingRainfall

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