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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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    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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    2002-Chai-Optimal initial angle to fire a projectile
    Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is the optimal initial angle of firing to maximize the horizontal distance...

    Keywords: optimizationprojectile motionlaunch angle

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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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    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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    1997-Jeff_Graham-Julia_Barnes-A Laboratory Experience for Students of Differential Equations Using RLC Circuits
    Acknowleging that applied mathematics courses rarely offer any hand-on experiences the authors constructed an RLC circuit from which they collected data and validated the differential equation of...

    Keywords: datacollectionslaboratorycircuitRLC

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    1987-MS_Greenwood-Using videotapes to study underdamped motion of a pendulum
    Using a video camera to study the effects of air resistance acting on pendulum bob, ping-pong ball, styrofoam spheres, and brass spheres.

    Keywords: Videoresistancependulumping-pong ballstyrofoam ballbrass ball

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    1994-T_Gruszka-A Balloon Experiment in the Classroom
    The following experiment involves a balloon, a stopwatch, and a measurement device such as a meter stick,

    Keywords: resistancefalling bodydragballoon

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    1998-Elly_Claus-McGahan-Modeling Projects in a Differential Equations Course
    Here we discuss the value of student designed, in-depth, modeling projects in a differential equations course and how to prepare them for it.

    Keywords: projectswritingpopulationtankmixingcomputer-aided analysissprinting

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    1989-Protopopescu-Santoro-Dockery-Combat modeling with partial differential equations
    We propose an extension of the classical modeling of combat via Lanchester equations to include one-dimensional spatial effects.

    Keywords: combatLanchester

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    1971-Carl_Metzler-Usefulness Of Two Compartment Open Model In Pharmacokinetics
    Compartment models are widely used in pharmaceutical research to quantitate the kinetics of absorption, distribution, metabolism and excretion of a drug. In this article two applications of the two...

    Keywords: LSDcompartmentpharmacokinetics

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    2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Population_Growth
    We estimate the parameters present in several differential equation models of population growth, specifically single species exponential and logistic growth, and multiple species competition and...

    Keywords: population modelparameter estimationpopulationparameter

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    2010-Scott_Carrell-James_West-Does_Professor_Quality_Matter-Evidence_from_Random_Assignment_of_Students_to_Professors
    In the postsecondary environment, scores on student evaluations of professors are typically used to measure teaching quality. We possess unique data that allow us to measure relative student...

    Keywords: teachingevaluationfollow-on coursestudent achievement

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    2008-Keith_Landry-Brian_Winkel-Peak_Frequency_Responses_and_Tuned_Mass_Dampers
    We present two applications of systems of ordinary differential equations concerning excitation of a structure through resonance and (1) peak frequency responses with stabilization of the...

    Keywords: vibrationresonancetuned mass damperpeak frequency responseexcitation

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    2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
    We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a...

    Keywords: exponential growthsolutionslinear systemsdecayconjecture

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    2013-Brian_Winkel-An_Optimal_Control_Model_in_Insect_Colonies
    we find and develop background material on an application of optimal control theory to model the evolutionary strategy of an insect colony to produce the maximum number of queen or reproducer...

    Keywords: insect colonyoptimal controlparameter

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    2012-R_B_Ogunrinde-J_Sunday-On_some_models_based_on_second_order_differential_equations
    This paper presents some models based on second order differential equations. This is a very straightforward article with good explanations of modeling assumptions.

    Keywords: combatcombat modelspecies interaction

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    2009-Brian_Winkel-Population_modelling_with_MandMs
    Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented.

    Keywords: simulationparameter estimationimmigrationdeathdifference equation

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