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    Exploring Connections between Low Albedo, Urban Heat Islands and Social Justice
    This exercise explores circumstances of urban heat islands in the United States using spatial data, including an exploration of heat island solutions.

    Keywords: redliningUrban heat islandalbedo

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    Introduction to Probability, Statistics, and Random Processes
    This site is the homepage of the textbook Introduction to Probability, Statistics, and Random Processes by Hossein Pishro-Nik.

    Keywords: textbookcurriculumcourseproblem setsolutions

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    Taking a Second Look: Investigating Biology with Visual Datasets
    An article exploring the use of visual datasets as an educational aid for biology students.

    Keywords: Evolutionpedagogyclassificationphylogenyvisual learningResources @ QUBES - Teaching & Reference

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    3-130-MatterOfSomeGravity-ModelingScenario
    This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation.

    Keywords: gravityinverse problemacceleration

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    2015-Sivakumar-EtAl-Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste
    The initial value problem in a kinetic model for biogas generation from banana waste is discussed. The model involves the system of non-linear differential equations which has variety of non-linear...

    Keywords: chemical kineticsMichaelis-Menten kineticsanaerobic digestionacidogenic stepsbananamethanogenic stepswastes

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    3-011-EulerBallThrowing-ModelingScenario
    If a tennis ball is thrown through the air it will hit the ground due to gravity. Using Euler's method, write a short script (Python, Matlab, R, etc.) to find the trajectory of the ball which will...

    Keywords: codingdragonVectorsEuler's methodball

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    5-030-AirshedSulphur-ModelingScenario
    Temperature inversions and low wind speeds trap air pollutants in a mountain valley for a period of time. Gaseous sulfur compounds are a significant air pollution problem. We offer a model for...

    Keywords: sulphurpollutionairshedhydrogen sulfidesulfur dioxide

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    6-024-DronePackageDelivery-ModelingScenario
    Students will derive a system of first order differential equations which describe the flight path of a drone delivering a package.

    Keywords: VectorsTrigonometryFlightdronesparametric curveImproved Euler MethodRunge-Kutta

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    6-045-CholeraTranmission-ModelingScenario
    During the project described here, the students will learn how to solve and address a practical problem such as cholera transmission using various mathematical tools.

    Keywords: infectious diseasecholeraendemicdisease-freetransmission ratewaterborne pathogen

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    3-150-ItsABlastFurnace-ModelingScenario
    This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.

    Keywords: steady stateheat equationinverse problemfurnace

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    Discrete Math Modeling with Biological Applications (Course Materials)
    These are the materials for Math 214 offered at Rhodes College.

    Keywords: labsagent-based modelingDiscrete Difference Equationsmatrix modelscoursebiomath coursedemonstrationin-class activitylab protocolproblem set

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    Adaptation and Facilitation of Small Group Activities in an Online Introductory Biology Class
    In spring 2020, the sudden mid-semester closure of my campus in response to the global COVID-19 pandemic necessitated a rapid transition to emergency online learning. Consequently, I adapted the...

    Keywords: Cellular communicationNeuronal functionNeuronal structure

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    2007-Zenker-Rubin-Clermont-From inverse problems in mathematical physiology to quantitative differential diagnoses
    The improved capacity to acquire quantitative data in a clinical setting has generally failed to improve outcomes in acutely ill patients, suggesting a need for advances in computer-supported data...

    Keywords: physiologyinverse problem

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    Applying ESA’s 4DEE framework to guide the development of ecological literacy for non-majors
    The Four-Dimensional Ecological Education (4DEE) framework, endorsed by the ESA Governing Board in November 2018, is the culmination of 30 years of work by the ecology community to clearly define...

    Keywords: ecology4DEE Frameworkecological literacy

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    Osmosis: Determination of the rate of osmosis and the isotonic concentration
    This module contains exercises designed to help students understand how solute concentrations affect the direction and rate of osmosis. Students are given different scenarios to predict the...

    Keywords: introductory biologyQuantitative reasoninginterdisciplinarycell functionOsmosisNIQBC2. Data and GraphsC4. mathematical modelsC6. Quantitative LanguageC1. NumeracyC5. Logic and Algorithms

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    6-005-InsectColonySurvivalOpt-ModelingScenario
    We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number...

    Keywords: optimizationOptimal Control Theoryinsect colonyoptimal controlnatural resourcesPointryagin's Maximum Principlecontrol variable

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    2017-Sim-EtAl-Optimal control of a coupled tanks system with model-reality differences
    In this paper, an efficient computational approach is proposed to optimize and control a coupled tanks system.

    Keywords: optimal controlflowtankscoupled tanks

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    2007-Exben_Friis-Jensen-Modeling and Simulation of Glucose-Insulin Metabolism
    In this thesis one of the models of diabetes, Bergman’s minimal model is described trough derivation and simulations.

    Keywords: Metabolisminsulin resistanceglucosePID controllerintolerance

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    1-035-DotseroVolcanoEruption-ModelingScenario
    In this scenario, we use Carbon-14 dating of the Dotsero volcano in Colorado as a way of emphasizing this multistage process of modeling.

    Keywords: exponential decayhalf-lifedecayEuler's methodcarbon datingdecay rateCarbon-14Dotsero volcanovolcano

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    6-001-Epidemic-ModelingScenario
    This paper presents real-world data, a problem statement, and discussion of a common approach to modeling that data, including student responses. In particular, we provide time-series data on the...

    Keywords: datadifference equationsparameter estimationcontinuousepidemicdiscreteboarding school

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