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    2008-Padir-EtAl-Teaching Differential Equations in a Diverse Classroom
    The interesting portion of this paper are the descriptions of student projects offered: Vibrations of a 3-Story Building in an Earthquake, Triple Pendulum, Nonlinear Circuit. Phase portraits were...

    Keywords: circuitearthquakevibrationpendulumbuikldingtriple pendumlumnonlinear circuit

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    2008-Lawson-Marion-An Introduction to Mathematical Modelling
    This is a broad based set of notes with sections: Building Models, Studying Models, and Using Models. No depth on any model, no solution strategies, but good references to models, and general...

    Keywords: time serieslinear regressionAkaike Information Criterionmcomparision models

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    2008-Fogler-etAl-Elements of Chemical Reaction Engineering  Strategies for Creative Problem Solving
    This is a website with lots of modeling information, exercises, and lessons.

    Keywords: chemical reaction

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    2007-Hui_Luo-Population Modeling by Differential Equations
    A general model for the population of Tibetan antelope is constructed. The present model shows that the given data is reasonably logistic.

    Keywords: population dynamicsextinctionlogisticTibetan antelope

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    2007-Graham-Lerch-Parameter Recovery for a Differential Equation Model
    This article presents a project for a differential equations class using an inverse problem based on the second order differential equation that models and electrical circuit.

    Keywords: laboratorydata collectionRLC circuitinvers problemelectrical circuit

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    2006-TK_Kar-Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge
    This paper deals with a prey–predator model incorporating a prey refuge and harvesting of the predator species.

    Keywords: survivalpredator-preyharvestrefugePontryagin’s maximal principlehidingoptimal harvest

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    2006-Han-EtAl-Ordinary differential equation models for ethanol pharmacokinetic based on anatomy and physiology
    Physiologically-based pharmacokinetic (PBPK) models have been used to describe the distribution and elimination characteristics of intravenous ethanol administration.

    Keywords: liverwortsintraveneouspharmacokineticsethanolethanol infustionpharmacodynamictissue model

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    2006-Chaachoua-Saglam-Modelling by differential equations
    This paper aims to show the close relation between physics and mathematics taking into account especially the theory of differential equations.

    Keywords: historyseventeenth century

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    2005-Saifullah-Mathematical Modeling With Differential Equations
    This article aims to provide the students some basic modeling skills, which will have applications to a wide variety of problems.

    Keywords: species interactionsword equationinteractive software

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    2005-JC_Sprott-Dynamical Models of Happiness
    A sequence of models for the time evolution of one’s happiness in response to external events is described.

    Keywords: happinessoscillation

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    2005-DieboldEtAl-Modeling Bond Yields In Finance And Macroeconomics
    From a macroeconomic perspective, the short-term interest rate is a policy instrument under the direct control of the central bank. From a finance perspective, long rates are risk-adjusted averages...

    Keywords: financeinterest ratebond yieldmacroeconomics

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    2004-Denny-Yackel-Temperature Models for Ware Hall
    This paper offers some very nice extended models for cooling off a new office area for a mathematics department.

    Keywords: Newton's Law of Coolingcoolingoffice building

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    2004-Charalampos_Toumasis-A mathematical diet model
    This article describes an application of simple differential equations in the field of dietetics as it may be presented to a calculus class or a high school mathematics club.

    Keywords: dietdietetics

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    2001-Smith-Moore-The SIR Model for Spread of Disease
    A multiple part tour of SIR Models freely available with Maple, Mathematics, and MatLab support files at MAA site.

    Keywords: epidemicSIR modelEuler's methodherd immunityHong Kong flu

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    2001-Knisley-Kerley-Using data to motivate the models used in introductory differential equations
    In this paper, the data itself is used to motivate mathematical models in introductory mathematics courses. In doing so, various regression and optimization techniques are illustrated.

    Keywords: regressionlogisticTorricelli's Lawgrowthperiodic process

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    2000-Dwayne-Anderson-Estimates of the future membership of the Church of Jesus Christ of Latter-Day Saints
    Thus, the purpose of this paper is to model the membership of the Church of the Latter Day Saints from the available data on membership from 1844 to 2000.

    Keywords: population dynamicslogisticLatter-Day Saints

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    1999-Meyer-Ausubel-Carrying Capacity-A Model with Logistically Varying Limits
    This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This is applied to human population situations in several countries with fits to data.

    Keywords: population dynamicsparameter estimationlimited growthgrowthlogisitic

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    1999-McCartney-Carey-Modelling Traffic Flow Solving and Interpreting Differential Equations 
    A simple mathematical model for how traffic flows along a road is introduced.

    Keywords: traffictraffic flow

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    1999-Marchand-McDevitt-Learning Differential Equations by Exploring Earthquake Induced Structural Vibrations
    The project takes full advantage of analytical, numerical, and qualitative techniques to explore the mechanical vibrations of buildings during an earthquake.

    Keywords: earthquakenondimensionalizationCoulomb dampingmechanical vibration

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    1999-Long-Weiss-The Velocity Dependence of Aerodynamic Drag A Primer for Mathematicians
    This paper is exactly what it says it is, namely, a Primer for Mathematicians. There are ample models, data, attention to such issues as Reynolds’ numbers, and attention to aerodynamics issues.

    Keywords: drag forceaerodynamics

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