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    2-005-LinearizeItAll-TechniqueNarrative
    Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form...
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    2-001-NumericalMethodsComparisons-TechniqueNarrative
    This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and...
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    1-002-IntegratingFactor-TechniqueNarrative
    We develop a strategy to solve first order differential equations by transforming one side of the equation to the derivative of a product of two functions, thereby making it easy to...

    Keywords: Integrating Factor

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    1-021-FeralCatControl-ModelingScenario
    Students act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use of...
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    1-014-DrainingContainers
    Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the...
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    1-005C-OilSlick-ModelingScenario
    We describe a modeling activity for Calculus I students in which modeling with difference and differential equations is appropriate.
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    1-039-StochasticPopModels-ModelingScenario
    We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is...
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    1-003-CollegeSavings-ModelingScenario
    We present a modeling opportunity for students in which they have to plan and model for saving for a child's complete college education.
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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...
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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...
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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...
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    1-080-DrugAdministration-ModelingScenario
    A simple drug administration situation is modeled with only two observations.
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    1-088-RoomTemperature-ModelingScenario
    Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume...
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    1-130-AspirinAbsorption-ModelingScenario
    We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zero-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.
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    3-072-EarthQuakePartI-ModelingScenario
    This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring system.
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    1-109-EmployeeAttrition-ModelingScenario
    This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations.
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    A talk about the impacts of Tobacco with Rachel Hendricks
    We interview researchers of all rankings! In this interview, NIH postbaccalaureate fellow Rachel Hendricks discusses her undergraduate research in Dr. Karen Bernd's lab at Davidson College and the...
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    BioQUEST Partner Support Module: Exploring Community
    A four-week module for BioQUEST's Research Coordination Network partners on using BioQUEST's features, resources, and services to build a community that supports their project goals.
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    Integrating digitized biodiversity data exploration into the undergraduate biology curriculum
    Poster on the Biodiversity Literacy in Undergraduate Education (BLUE) project presented at the 2020 BIOME Institute: Cultivating Scientific Curiosity
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    Module 3: Transcription, Part II: What Happens to the Initial Transcript Made by RNA pol II?
    This module teaches about the three key steps that are involved in converting the pre-mRNA into a mature mRNA: 1) The addition of a 5’ cap, 2) The addition of a 3’ poly(A) tail, 3) The removal of...
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