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    1-118-SolowEconomicGrowth-ModelingScenario
    Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a...

    Keywords: optimizationeconomicssteady stategrowthSolow-Swan modelcapitalproductionlaborGolden Rule of Economic Growth

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    2017-Xiang_Liu-Mathematical Studies of Optimal Economic Growth Model with Monetary
    In this paper, efforts will be made to study an extended Neoclassic economic growth model derived from Solow-Swan Model and Ramsey-Cass-Koopsman Model.

    Keywords: Optimal Control TheoryJacobianSolow-Swan modelMonetary policyoptimal economic growth

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    2013-Michael-Evans-Growth and Decay
    Sometimes, we can describe processes of growth and decay—whether physical, chemical, biological or sociological—by mathematical models.

    Keywords: exponential growthexponential decayisotopespopulationsresource depletion

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    2019-Fan_ Li_ Yin- Impact_of_environmental_tax_on_green_development-nonlinear_dynamical_system_analysis
    This study analyzes the impact of environmental tax on green development by using a four-dimension dynamical system.

    Keywords: environmentsystemequilibrium pointmodel chaoseconomic growthnonlinear

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    2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form
    The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.

    Keywords: Fredholm integral equation ofLeontief’s modelmacroeconomic processes

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    2013-Gonzalez_Parra-Arenas-Mathematical Model for Social Security Systems with Dynamical Systems
    In this paper it is proposed a mathematical approach based on dynamic systems to study the effect of the increase in the Social Security normal retirement age on the worker and on the dynamics of...

    Keywords: dynamical systemsretirement modelSocial Security

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    A “Rule-of-Five” Framework for Models and Modeling
    In this paper, we extend the “Rule-of-Four,” initially used in calculus reform efforts, to a “Rule-of-Five” framework for models and modeling that is inclusive of varying disciplinary definitions...
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    Mathematical Modeling via Multiple Representations
    This is a presentation delivered by Glenn Ledder and Carrie Diaz Eaton at the SMB Annual Meeting in Montreal July, 2019. It describes how to implement the Rule-of-Five framework, published in PRIMUS.
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    Neochromosomes: Creating transcriptional units with yeast Golden Gate assembly
    This resource is a series of protocols using the yeast Golden Gate (yGG) method as developed by Neta Agmon and Leslie Mitchell in Jef Boeke’s lab to assemble a functional yeast gene with...
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    1-067-ModelingWithSigmoidCurves-ModelingScenario
    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the...

    Keywords: logisticGompertzsigmoidVerhulst-Pearl

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    PLANT Talking Points: Economic Botany - how we value plants...
    This resource gives insight into the interactions between humans and the environment.

    Keywords: sustainabilitybotanyenvironmentethnobotany

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    Continuous Growth Models
    This Excel worksheet compares user-input growth data with predictions under linear, exponential, and logistic models of growth. Introduces concepts of statistical analysis that can be additionally...

    Keywords: exponential growthlogistic growthcurve fittinglinear growthgrowth models

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    Math Bench Probability and Statistics: Basic Rules of Probability
    MathBench resource covering the "Law of Or" and the "Law of And" and how to use them in an online setting

    Keywords: ProbabilityResources @ MathBenchonlinerule of orrule of and

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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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    Teaching biostatistics using the Rule of Four
    A guide to helping intro bio students develop a deeper understanding of key statistical concepts by translating among numeric, graphical, verbal, and symbolic representations.

    Keywords: statisticsbiostatisticsintroductory biologyQuantitative reasoningBIOME 2022

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    Permeability of Molecules
    This module introduces Overton's Rule in the context of understanding the permeability of molecules across the cell membrane. It is intended for an introductory biology audience.

    Keywords: linear regressionPermeabilityCell StructureCell MembraneOpenStaxphospholipid membranelog-log plotsOverton's rule

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    An active-learning lesson that targets student understanding of population growth in ecology
    Effective teaching and learning of population ecology requires integration of quantitative literacy skills. To facilitate student learning in population ecology and provide students with the...

    Keywords: population growthexponential growthlogistic growthpopulation ecologygrowth rateDensityAbundancecarrying capacitylinear growth

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    2008-Taro-Blog on Modern Political Economy-Differential Equations in Our Life
    Differential equations - easy to hear but often impossible to solve- are around there in our life. If you are an econ learner, you have much time to express the economy by using differential...

    Keywords: bathtubhot coffeerunning taterexonomicsforgetting

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    Cell Division and the Presence of a Growth Factor
    This module introduces exponential growth, the Michaelis-Menten, and Lineweaver-Burk equations in the context of understanding how growth factors influence cell division. It is intended for an...

    Keywords: exponential equationshyperbolic equationsCell StructureCell Growthgrowth factor

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    1994-Paul_Davis-Asking Good Questions about Differential Equations
    A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.

    Keywords: questionspopulationnumericalphysical contextgraphicalalgebraicIreland

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