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    2010-Kar-Chakraborty-Bioeconomic_modelling_of_a_prey_predator_system_using_differential_algebraic_equations
    We propose a biological economic model based on prey-predator dynamics where the prey species are continuously harvested and predation is considered with type II functional response.

    Keywords: economicsbifurcationharvestfisheryequilibriumdifferential algebraic equation

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    2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
    We let the author's Table of Contents speak for itself.

    Keywords: differential equationsmodelingtextbook

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    6-070-BeerBubbles-ModelingScenario
    The goal of this project is to set up and numerically solve a first-order nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that...

    Keywords: molecular forensicsBEERspherebubbleNewton' Second LawIdeal Gas Lawdrag forceHadamardStokesmole

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    When tests disagree, how do I know if I have COVID-19?
    Students will learn about infectious disease and the immune response to infection by investigating different types of tests (PCR, antigen, and antibody tests) to detect the SARS-CoV-2 viral genetic...

    Keywords: geneticsVision and Changeintroductory biologyinfectious diseasemolecular biologycore competenciesRT-PCRviruscore conceptsnon-majors biologySARS-CoV-2antibodyAntigenImmunoReachmolecular DiagnosticsCOVID-19 transmission

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    The Three Sisters of Agriculture: An Active Learning Activity on Symbiotic Nitrogen Fixation
    This active learning exercise introduces students to the plant microbiome and the contributions that bacteria make to plant growth and food production. The Three Sisters are an ancient indigenous...

    Keywords: SymbiosisPlant microbiomeNitrogen fixationNutritional content of foodElectron flowSociety impact of microorganisms

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    Evolution of Tusklessness in African Elephants
    The exploitation of African elephants in the form of ivory poaching is exacerbated by warfare. The affects of this anthropogenic evolutionary force on the African savanna elephant (Loxodonta...

    Keywords: Hardy-Weinbergchi-squaredEvolutionExponentsRatiospercentselephantsGorongosa National ParkAfricaqbccUnderstanding fractionsSolving Equations and InequalitiesConcepts in Statisticsusing statisticstusk & tusklessIvory poachingFractions and Mixed NumbersDecimals

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    1-128-RocketFlight-ModelingScenario
    We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight...

    Keywords: resistanceFlightRocketrymassNewton's Second Law of MotionthrustFree Body Diagramapexrocket

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    3-065-UpDown-ModelingScenario
    We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and...

    Keywords: terminal velocityNewton's Second Law of Motionvelocitymotionapex

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    1-087-ThanosPopulationDynamics-ModelingScenario
    In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this...

    Keywords: logisticexponentialpopulationThanos

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    1-050-BargingAhead-ModelingScenario
    As captain of a barge, you need to determine how fast to transport your barge up river against the current in order to minimize the expended energy.

    Keywords: optimizationkineticsenergytrophic efficiencyworkriverterminal velocityfrictioncurrentforcebargeworlkspeed

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    1-057-FiguringFluidFlow-ModelingScenario
    We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which...

    Keywords: dischargetankTorricelli's LawConservation of Energyfluid flowheightliquid

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    1-105-AnimalFall-ModelingScenario
    This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.

    Keywords: animalNetwon's Second Law of Motionfalling bodyterminal velocityair resistanceNewtonair frictionfall

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    3-002-ModelsMotivatingSecondOrder-ModelingScenario
    Ordinary differential equations involve second derivatives and second derivatives appear in many contexts, chief among them are the study of forces and resulting motion. This is principally because...

    Keywords: resistancespring massoscillationHooke's Lawdampening

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    3-013-WhiffleBallFall-ModelingScenario
    We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models.

    Keywords: Akaike Information CriterionresistancegravityFree Body Diagramforcefalling objectWhiffle ball

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    3-016-FallingCoffeeFilters-ModelingScenario
    We are given data on the time and position of a stack of coffee filters as it falls to the ground. We attempt to model the falling mass and we confront the different resistance terms and models.

    Keywords: resistanceFree Body Diagramcoffee filterforcegraviityfalling object

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    3-055-FloatingBox-ModelingScenario
    In this scenario, we lead students through the process of building a mathematical model for a floating rectangular box that is bobbing up and down.

    Keywords: oscillationArchimedes’ Principlebuoancyoscillatory motionNewton's Second Law

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    3-087-ThanosPopulationDynamicsInteractingSpecies-ModelingScenario
    Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species?

    Keywords: species interactionspredator-preycompetitionLotka-Volterrasensitivity analysisdynamicspopulation

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    3-090-OneSpringMass-ModelingScenario
    We lead students through building a mathematical model for a single mass (bob)-spring system that is hanging vertically. We also lead the students, using data that they collect together with their...

    Keywords: undampedsum of square errorsmass springHooke's Lawoscilationleast-squares approximation

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    3-101-SpringMassFirstTry-NoResistance-ModelingScenario
    Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with no damping.

    Keywords: frequencymassoscillationundampedspring constantspring\Single Degree of Freedom System

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    3-102-SpringMassDamped-ModelingScenario
    Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with damping.

    Keywords: frequencymassoscillationstiffnessspring constantspring\dampedSingle Degree of Freedom Systemcoefficient

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