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    2012-Hassan_Moore-Using projects to stimulate learning in mathematics and engineering mathematics courses
    Given that time is a premium in the academy and project creation is a time consumer, three original projects, which may be injected into any Calculus III, Differential Equations, or Engineering...

    Keywords: solutionsclass projectsphysical phenomenon

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    2012-Arvind_Kumar_Misra-A simple mathematical model for the spread of two political parties
    In this paper, a non-linear mathematical model for the spread of two political parties has been proposed and analyzed by using epidemiological approach.

    Keywords: epidemiccompartmentpolitical parties

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    2011-W_Wood-Squigonometry
    The differential equations used to define a unit circle, namely x’(t) = - y(t), y’(t) = x(t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which...

    Keywords: TrigonometryTrigonometric Functionsparametric equationscirclesinecosinesquigonometryinverse function

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    2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
    Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the...

    Keywords: sensitivitydiseaseinfectionthresholdcompartmentbifrucation

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    2011-Carl_Leinbach-Beyond Newton's law of cooling - estimation of time since death
    The paper offers an excellent history of temperature-based methods and then proceeds to demonstrate these with some data. Here the history is rich and will support student investigation as well as...

    Keywords: time of deathNewton's aw of cooling

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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 logistic growth models and multiple species competition models.

    Keywords: logisticpopulationparameciaGausegradient search

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    2010-Singh-Mishra-athematical modeling approach to study growth rate of grassroots technological innovations
    In this paper we have proposed a simple mathematical model by using ordinary differential equation to know the spread rate of technological innovations in rural India.

    Keywords: logisticexponentialsigmoidtechnological innovationsasymptoticspread of innovation

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    2010-Shaza_Hussein-Predator-Prey Modeling
    The objective of this project was to create five projections of animal populations based on a simple predator-prey model and explore the trends visible.

    Keywords: population dynamicspredator-preylogistic equationEndangered Catsdecreasing populationrabbitsfoxes

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    2010-Randy_Boucher-Determining Dissolved Oxygen Levels
    This is a full module given to students and the article contains comments for instructors as well.

    Keywords: Environmental Engineeringbiochemical oxygen demandoxygen level

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    2010-Kijek-Kijek-Modelling of Innovation Diffusion
    This paper offers a first order differential equation model for innovation diffusion, solves it, and offers qualitative analysis as well as approaches to estimating parameters with some data on...

    Keywords: Bass modelinnovation diffusionLogistic modeldynamic model

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    2010-Keesom-EtAl-Fishing for Answers Investigating Sustainable Harvesting Ra
    The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be determined to maintain a steady population of Alaskan salmon.

    Keywords: fisheriesEuler's methodnonlinearlogistic harvestingcanabalismsalmon

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    2010-Brian_Winkel-Parameter estimates in differential equation models for chemical kinetics
    We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data.

    Keywords: kineticschemical kineticszeroth order reactionfirst order reactionsecond order reaction

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    2009-Schaffer-Bronnikova-Controlling malaria
    The present paper reviews potential control strategies from the viewpoint of mathematical epidemiology.

    Keywords: epidemiologymalariabifurcationmosquitotransgenic mosquitoes

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    2009-Reid-King-Pendulum Motion and Differential Equations
    This article presents a relatively simple, real-world example that instructors can use in the classroom to let students explore the effect of simplifying assumptions on a model’s ability to reflect...

    Keywords: pendulumphysical pendulum

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    2009-G_Recktenwald-Tank Draining Exercise
    This paper describe deep mathematics, including differential equations concerned with modeling the draining of tank and the shape of the water coming out the bore hole at the bottom of the tank of...

    Keywords: laboratorytankLabViewBermoulli equationempty drainingcolumn of liquidpressure

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    2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery
    This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.

    Keywords: predator-preyharvestingPontryagin’s maximum principlebioeconomicbionomic equilibriumbiotechnical productivitycatch-rate functionoptimal equilibrium

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    2009-Chellaboina-EtAl-Modeling And Analysis-Mass Action Kinetics
    Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of reactions, that is, reaction networks. These models are a special form of compartmental...

    Keywords: dynamical systemschemical reactionreaction networkmass action

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    2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
    We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using...

    Keywords: optimal controlsustainable yieldmaximum sustainable yieldharvestExpected Net Present Valuecalculus of variationsdynamic programmingmaximum economic yield

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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-Jai-Li-Differential equations models for interacting wild and transgenic mosquito populations
    We formulate and study continuous-time models, based on systems of ordinary differential equations, for interacting wild and transgenic mosquito populations.

    Keywords: Mosquito borne diseasespopulationsHolling-II-type mating ratestransgenic mosquitoesnonhyperbolic equilibriummosquitoes

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