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    Modeling Two Species Interactions Educational Module
    This set of files comprises an educational module for use in college-level ecology courses. It focuses on exploring two species interactions (mutualism, competition, and predator-prey dynamics)...

    Keywords: ecologyspecies interactionsmathematical modeling

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    Instructor Solutions Second Edition SIMIODE Textbook HTML Version
    This is material we make available for instructors teaching a modeling-first approach to differential equations when using the Second Edition of SIMIODE Textbook, Differential Equations: A Toolbox...

    Keywords: textbookhtmlSIMIODE textbookSecond Edition

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    Glycolysis Can Be Fun: Rediscovering Glycolysis as a Problem-Solving Introduction to Metabolism
    A thorough understanding of glycolysis forms a foundation for students to analyze subsequent topics in metabolism, a core competency recognized by multiple national societies for biology and...

    Keywords: Problem based learningPOGILenzymesGlycolysisMetabolismFermentationchemical reactionsCard sorting activityCofactors

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    Two-Species Model
    These two Excel worksheets simulate the population growth of two interacting species. In isolation, each species grows logistically, but interaction effects between species may limit or enhance...

    Keywords: population growthcompetition modelsLotka-Volterra

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    Developmental Allometry: Scaling in Growth
    This Excel workbook illustrates a number of allometric equations in animal growth. The workbook also calculates an allometric equation with graphical output for data entered by the user.

    Keywords: allometrybrain developmentSkeletal Systemmetabolic rate

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    Balancing Chemical Equations Using Matrix Algebra
    This Excel workbook introduces using matrix algebra to balance chemical reactions. The workbook allows the user to set up their own matrices for chemical reactions involving 2-7 elements.

    Keywords: chemical reactionsInverse matrix methodmatrix algebra

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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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    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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    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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