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    QUBES – A virtual synthesis center catalyzing change in undergraduate quantitative biology education
    Presentation about QUBES given at HHMI Constellation Meeting: Advancing science students mastery of quantitative skills.

    Keywords: quantitative biology education

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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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    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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    Biochemistry Take Home Exam - Alternative Assessment
    This take-home exam part has several creative activities that students can choose from to demonstrate their mastery of concepts in my one-semester General Biochemistry survey course. In addition...

    Keywords: BiochemistryInclusive teachingAlternative Assessmenttake home exam

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    Pedigree Unspoken Assumptions
    A video that highlights the unspoken assumptions that we use in pedigree analysis.

    Keywords: geneticsintroductory biologybiologybiology teachingVideoGenetics educationGeneral biology educationpedigreePedigree analysisassumptionsunspoken assumptionsskit

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    2017-Jean-Roux-Mathematical Models in Air Quality Problems
    Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.

    Keywords: air pollution effects on forest ecosystemsfinite volume methodboundary layerchemical kineticsfinite differenceemissionsdepositionsadvection

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    2017-Guy-Bart_Stan-Modelling in Biology
    This is a very rich set of notes, rich in examples and ideas for modeling. In almost all cases after a model is introduced in real context there is attention to stability analysis.

    Keywords: spring massbifurcationmass actionlimit cycles

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    2015-Carl_Lutzer-Using Expected Value to Introduce the Laplace Transform
    We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the expected net change in a function, assuming that it quantifies a process that can terminate at...

    Keywords: Expected ValueRiemann sumnet change

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    2012-Bech-EtAl-Resources For Engineering Applications Of Math
    Illustrations of applied mathematics including statics, truss, heat equation, column analysis, coupled oscillators, feedback control, AC circuit, chemical reactions, kinetics.

    Keywords: kineticsheat equationcolumn analysiscoupled oscillatorsfeedback controlAC circuitchemical reactions

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    2010-Soetaert-EtAl-Solving Differential Equations in Rd SIMIODE Draft (5)
    Here we give a brief overview of differential equations that can now be solved by R.

    Keywords: solving

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    2009-Peter-Howard-Modeling With ODE
    This is a set of class notes rich in examples and ideas for modeling. There is some MatLab code in support of some of the activities.

    Keywords: ratescompetitionpopulationepidemicpendulumcarbon datingreaction chemistrymechanicsplanetary motiondrag racingHamilton’s methodvariational method

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    1989-EY_Rodin-K_Egan-Mathematics modelling of the rate of chemical reactions
    The development of improved designs for chemical reactors as well as the prediction of optimal operating conditions in chemical production are based on an understanding of the rates at which...

    Keywords: kineticsfirst orderreactionsecond orderzeroth order

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    1994-Brian_Winkel-Ant_Tunnels_and_Calculus
    A simple mathematical model describing the time it takes for an ant to construct a linear tunnel of length x is produced from five intuitively acceptable assumptions.

    Keywords: differential equationsdifference equationfirst orderderivative definitionant tunnel

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    2019-Fred_Brauer-The_Final_Size_of_a_Serious_Epidemic
    In an epidemic of a serious disease, there is likely to be behavioral response that decreases the epidemic size considerably.

    Keywords: epidemicfinal sizebehavioral responseSIER modelrelations

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    Focusing on Civic Engagement: IGELS Tools, Tips, & Strategies to Enhance Undergraduate Biology for Non-majors
    We can help students find relevance when we teach though issues that we experience in our daily lives.​ This workshop session provides an introduction to civic engagement and led participants...

    Keywords: NABT 2022IGELS

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    Creating Inclusive Classes: IGELS Tools, Tips, & Strategies to Enhance Undergraduate Biology for Non-majors
    The syllabus is often your first engagement with students in your courses.​ This workshop session provides an introduction to using a rubric to assess and revise your syllabus to make it more...

    Keywords: NABT 2022IGELS

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    5-012-LinearSystemConjecture-TechniqueNarrative
    Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing...

    Keywords: discovery learningconjecturesolutionsubstitution

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    3-090-ChebyshevPolynomialSolution-TechniqueNarrative
    The Chebyshev equation is presented as a vehicle to view series solutions techniques for linear, second order homogeneous differential equations with non-constant coefficients.

    Keywords: series soluotionpolynomial solutionsChebyshev polynomialsChebyshev differential equations

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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...

    Keywords: Euler's methodimproved Euler's methodRK3 methodsRK4 methodsorder of accuracyabsolute errorCPU time

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