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    Math Bench Probability and Statistics: Basic Rules of Probability
    MathBench resource covering the "Law of Or" and the "Law of And" and how to use them in an online setting

    Keywords: ProbabilityResources @ MathBenchonlinerule of orrule of and

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    Math and Stats in the Biology Classroom with HHMI BioInteractive
    Conquer basic math and statistics used in biology while exploring classroom-ready resources. Concepts include central tendency and variation, spreadsheet skills, graphing, and data analysis with...

    Keywords: HHMI BioInteractive

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    1-144-HeatCool-ModelingScenario
    We offer an opportunity to build a mathematical model using Newton's Law of Cooling for a closed plastic baggie of liquid inside a liquid container.

    Keywords: temperatureNewton's Law of Coolingcooling

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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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    1-058-WaterClocks-ModelingScenario
    We apply Torricelli's Law to the task of building a water clock in which the height of the water in a container falls at a constant rate when the container has a hole in the bottom to let the...

    Keywords: flowTorricelli's Lawspigotswater clock

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    1-064-TorricelliBox-ModelingScenario
    The time it takes a column of water to empty and the time it takes the same volume of column of water with a box (various sizes) submerged in the column of water are compared through modeling with...

    Keywords: groundwater flowcolumn of waterTorricelli's Lawwater displacementsubmerged box

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    1-079-HomeHeating-ModelingScenario
    This project concerns using Newton's Law of Cooling to model the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature...

    Keywords: Optimal Control TheorytemperatureheatfurnaceNewton's Law of Coolinghome heatingspecific heat

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    The ACTN3 Polymorphism: Applications in Genetics and Physiology Teaching Laboratories
    Inquiry-based undergraduate laboratories provide the opportunity to engage students in a research experience that improves scientific thinking, but such activities can be difficult to develop and...

    Keywords: protein structure and functionhuman genetic variationmuscle physiology

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    1992-Jude_Sommerfeld-More Applied Math Problems on Vessel Draining
    From a chemical engineering point of view emptying processing and storage tanks is important and this article considers many issues and shapes of containers. The main interest is in the total time...

    Keywords: Torricelli's LawemptyTorricellivesselcontainer

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    Geology
    In this video, we discuss how studying the rocks and minerals around us can tell us about the history of the planet. We also discuss what makes a scientific law and how those laws are applied in...

    Keywords: videosgeologyScience Forwardproxiesscientific law

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    2017-Zhang-Wang-Study on public opinion propagation in self media age based on time delay differential model
    We establish the Logistic equation, introduce the operator time delay differential equation, and finally establish the improved delay differential equation, which can describe the propagation trend...

    Keywords: propagationpubic opinionNetwork public opinionpropagation lawself-mediaXiongan New Area

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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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    Sperm Motility
    This module introduces equations related to oxygen diffusion in the context of understanding the relationship between oxygen needs and metabolism. It is intended for an introductory biology audience.

    Keywords: OpenStaxAnimal Physiologyparabolic equationssquare root

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    Linked Genes and Recombination: Advanced Punnett Squares
    An online module in which students learn about more difficult genetics problems, including linked genes and crossing over. Quantitatively students learn about marginal probabilities and chi-square...

    Keywords: geneticsProbabilityResources @ MathBenchonlinepunnett squareslinked genes

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    What the Mendel
    Students practice hypothesis testing using Mendelian genetics for monohybrid and dihybrid crosses. Both corn and Wisconsin Fast Plants are employed.

    Keywords: geneticsplantsmendelian inheritancephenotypecotelydoncornWisconsin fast plants

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    Mendelian Genetics, Probability, Pedigree, and Chi-Squared Statistics
    A lesson that requires students to work through a series of questions pertaining to the genetics of sickle cell disease and its relationship to malaria.

    Keywords: geneticsResources @ HHMI - BioInteractiveScientific ProcessStatistics and Mathmendelian inheritance

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    1-015-Torricelli-ModelingScenario
    We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the...

    Keywords: dataSpanishtankcolumn of waterapertureTorricelli's LawConservation of EnergytSolverwater flowExcel Solver

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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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    2001-Knisley-Kerley-Using data to motivate the models used in introductory differential equations
    In this paper, the data itself is used to motivate mathematical models in introductory mathematics courses. In doing so, various regression and optimization techniques are illustrated.

    Keywords: regressionlogisticTorricelli's Lawgrowthperiodic process

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    1999-Leonid_Hanin-Which tank empties first
    Suppose that water towers like those shown in the opening are initially filled with water and have the same volume, height, and cross-sectional outlet area. Which one empties first?

    Keywords: tankTorricelli's Lawspherical tankemptyfrustrum of conecylinder

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