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    3-051-ProjectileMotions-ModelingScenario
    We consider several instances of projectile flight without resistance, one on level ground and one from edge of cliff to determine maximum distance and placement.

    Keywords: trajectorylaunching radiantprojectile motionprojectileno resistanceangle of launch

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    3-052-OptimalProjectileFiring-ModelingScenario
    We offer the opportunity to model a projectile's trajectory in several cases, all without resistance.

    Keywords: projectile motionprojectilelaunch anglemaximum range

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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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    Navigating Bacterial Changes in Aging Organisms: Graphs, Patterns, and Models
    Aging is an incredibly important area of research, and recent biological advances implicate the intestines in aging pathologies. Given that the gut harbors an immense amount of an organism’s...

    Keywords: statisticsgraphingmathematics for life sciencesmathexponential growthPrecalculus

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    1-131-CaffeineElimination-ModelingScenario
    We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the...

    Keywords: caffeineeliminationpharmacokineticsdrug

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    Learn Biological Sciences and Physics through scientific process, creation, experimentation and analysis
    Microbes remain attached and grow on various surfaces whether living or non-living. These surfaces provide differential growth substances for microbes to remain attached or grow. The differential...

    Keywords: data analysisscientific methodphysicshands-onScientific InquirymicrobesBiological SciencesSpectrophotometer

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    SIMIODE Spring 2024 Webinars - Insightmaker
    We discuss the use of the FREE system dynamics software Insightmaker (https://insightmaker.com/) in a first course in Ordinary Differential Equations (with a modeling emphasis).

    Keywords: modelingsimulationSoftwarepythonsystemsInsightMakerflowCategory Theorystockstock-flow

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    SIMIODE Spring 2024 Webinars - WikiModel
    WikiModel is cloud-based application and requires no installation and is run via a web-browser to facilitate rapid implementation. Equations are typed in as they appear in a textbook. ODEs are...

    Keywords: modelingSoftwaretoolapplicationWikiModelmodeling cycle

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    SIMIODE Spring 2024 Webinars - Ethics Modeling
    A Practical Guide for Incorporating Ethical Reasoning into Mathematics Courses through Modeling Problems

    Keywords: modelinginterdisciplinaryguideethicsgroup workethical reasoning

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    1-078-MonodGrowthModel-ModelingScenario
    Students model growth of bacteria E. coli in a limiting nutrient environment using data from a historical study.

    Keywords: bacterianutrient cyclesgrowthMonodconsumption

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    Keep It Shrimple: An Adaptable Student-Driven Research Project for the Introductory Biology Laboratory
    A challenge in introductory biology laboratory courses is to provide students with authentic, engaging research opportunities that allow them to take ownership of their experiments. We present a...

    Keywords: hypothesis testingexperimental designanimal behaviorbrine shrimp

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    Learn Biological Sciences and Mathematics through cellular respiration, photosynthesis and primary productivity.
    Photosynthesis is a process by which plants synthesize glucose and oxygen in presence of sunlight through light dependent reactions by utilization of sunlight, water to synthesize oxygen, ATP and...

    Keywords: mathematicssimulationThe Analysis of Biological DataMetabolic Pathwaysprocess of sciencephotosynthesisqbccBiological ScienceshypothesisCellular Respirationprimary productivity

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    5-026-Evictions-ModelingScenario
    In this project, students develop two SIS models to study eviction trends in a population of non-homeowner households using an actual eviction rate. Students can calculate solutions, sketch the...

    Keywords: carrying capacitycompartmentevictionhomeownerSIS modelhomelessness

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    A Momentum-First Approach to Newton’s Second Law
    Students frequently struggle with seeing the connection between forces and motion in introductory physics. This lesson is part of a combined momentum and kinematics unit that first teaches...

    Keywords: group workMomentumNewton's Laws

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    2018-Vajravelu-Teaching Large DE Classes
    Practical problem solving in science and engineering programs require proficiency in mathematics. Improving student performance and retention in mathematics classes requires inventive approaches.

    Keywords: differential equationsLarge classlarge classroom

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    3-033-S-TimeUpTimeDown-ModelingScenario
    We seek to compare for the time a projectile takes to go vertically up with the time it takes to return to its starting position.

    Keywords: projectile motionapexvertical motion

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    1-027-StochasticProcesses-ModelingScenario
    We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution...

    Keywords: VarianceMeanstochasticrandomoperations researchindustrial engineeringPoisson processtraffic

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    5-024-PhGreatLakes
    In this teaching modeling scenario, we demonstrate how lessons on salt-tank compartmental modeling can be used to predict phosphorus levels in the Great Lakes.

    Keywords: Great Lakeslimnologycomparmentpollutioncompartmental modelsphosphorous

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    1-031-CoolIt-ModelingScenario
    We offer data on the temperature of water in a beaker in a room of constant temperature and in a room of nonconstant temperature. Students consider both empirical and analytic modeling...

    Keywords: SpanishNewton's Law of Coolingcooling

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    6-022-CannibalismPredatorPrey-ModelingScenario
    The Lotka-Volterra model tells us that the prey and predator exhibit a shifted cyclic behavior over time. In this module, we look at modifying this prey-predator model to consider the case when...

    Keywords: stabilitypredator-preyequilibriaoscillationscannibalismphase planesspiral sinks

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