
1984DavisNumericalMethods  Modeling For Chemical EngineeringText
09 Sep 2017
Davis, Mark. E. 1984. Numerical Methods and Modeling for Chemical Engineers. NewYork: John Wiley & Sons. 264 pp.From the PrefaceThis book is an introduction to the quantitative treatment of differential equations that arise from modeling physical phenomena in the...

2014ShaferPharmacokinetis Basis Targeted Controlled Infusion
09 Sep 2017
Shafer, Steven. The Pharmacokinetic and Pharmacodynamic Basis of Target Controlled Infusion. 60 pp. https://web.stanford.edu/~sshafer/LECTURES.DIR/Notes/CCIP.DOC . Accessed on 7 September 2017. From the introduction of the paper, “Pharmacokinetics and pharmacodynamics provide the...

2015LutzerExpected Value Introduce Laplace Transform
09 Sep 2017
Lutzer, Carl V. 2015. Using Expected Value to Introduce the Laplace Transform. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 25(4): 339348.Abstract: We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the...

BobbingObjectInWater
09 Sep 2017  Contributor(s): Karen Bliss
Introduction to Second Order Linear Equations Bobbing Object in Water. 2 pp.This is a nice treatment of developing a model of a bobbing object in water from first principles with some nice additional questions which would make a nice Modeling Scenario.Keywords: buoyancy, bobbing, water,...

2015UpretiSarkarLaplace Transforms And Its Applications
08 Sep 2017
Upreti, Sandhya and Ms. Piyali Sarkar. 2015. Laplace Transforms and its Applications. IJIRT. 1(6): 19431945. http://ijirt.org/master/publishedpaper/IJIRT101182_PAPER.pdf . Accessed 7 April 2017.Abstract: Laplace transform is applied in various areas of engineering and science....

2010BoucherDetermining Dissolved Oxygen Levels
08 Sep 2017
Boucher, Randy. 2010. Determining Dissolved Oxygen Levels. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies.20(4): 362368.ABSTRACT: This project was used in a mathematical modeling and introduction to differential equations course for firstyear...

2011WoodSquigonometry
08 Sep 2017
Wood, W. 2011. Squigonometry. Mathematics Magazine. 84(4): 257265.The differential equations used to define a unit circle, namely x’(t) =  y(t), y’(t) = (t), x(0) =...

2009ReidKingPendulumMotion
08 Sep 2017
Reid, Thomas F. and Stephen C. King. 2009. Pendulum Motion and Differential Equations. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 19(2): 205217,Abstract: A common example of realworld motion that can be modeled by a differential equation, and one easily...

2008HELMApplications Of Differential Equations Chapter19
08 Sep 2017
HELM  University of Southampton. 2008. Applications of Differential Equations. Chapter 19.https://nile.northampton.ac.uk/bbcswebdav/courses/CFAP02R/Guest%20access%20files/HELM_new/pages/workbooks_1_50_jan2008/Workbook19/19_1_modling_with_diffrntl_eqns.pdf . Accessed 5 September 2017.The sections...

2009MartinezLuacesModelling Applications Inverse Modelling
07 Sep 2017
MartinezLuaces, Victor. 2009. Modelling, applications and inverse modelling: innovations in differential equations courses. Seventh Southern Right Delta Conference. pp. 159170.Abstract: Differential equations and Laplace transform are widely used to solve problems concerned with...

2009EricksonEtAlComputational Differential Equations Text
07 Sep 2017
Eriksson, K., D. Estep, P. Hansho, C. Johnson. 2009. Computational Differential Equations. 521 pp. http://www.thebookishblog.com/computationaldifferentialequations.pdf . Accessed 7 September 2017.From the Preface, “This book, together with the companion volumes Introduction to...

2015KossDifferential Equations In Art and Film
07 Sep 2017
Koss, L. 2015. Differential equations in literature, poetry and film. Journal of Mathematics and the Arts. 9(12): 116.Abstract: This paper investigates how differential equations models have been used to study works in literature, poetry and film. We present applications to works by...

FinioLinear Non Linear Springs Tutorial
06 Sep 2017  Contributor(s): Karen Bliss
Finio, Ben. Science Buddies – Linear & Nonlinear Springs Tutorial. https://www.sciencebuddies.org/sciencefairprojects/references/linearnonlinearspringstutorial#introduction . Accessed 5 September 2017.This tutorial provides a basic summary of linear and nonlinear...

2016deBoerModeling Population Dynamics Text
06 Sep 2017
De Boer, Rob J. 2016 Modeling Population Dynamics: A Graphical Approach. http://tbb.bio.uu.nl/rdb/books/mpd.pdf . Accessed 6 September 2017. 193 pp.From the Preface,“This book is an introduction into modeling population dynamics in ecology. Because there are several good...

RamsayEtAlParameterEstimationInODEs
06 Sep 2017
Ramsay, J. O., G. Hooker, D. Campbell and J. Cao. Parameter Estimation for Differential Equations: A Generalized Smoothing Approach. http://faculty.bscb.cornell.edu/~hooker/ODE_Estimation.pdf . Accessed 6 September 2017.Summary: We propose a new method for estimating parameters in...

1998ClausMcGahanModeling Projects In DE Course
05 Sep 2017
ClausMcGahan, Elly. 1998. Modeling Projets in a Differential Equations Course. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 8(2): 137149Abstract: Much has been said about the benefits of using projects in teaching the calculus sequence. Here we dis cuss...

1115SModelingWithFirstOrderODEs
04 Sep 2017  Modeling Scenarios
Several models using first order differential equations are offered with some questions on formulating a differential equations model

2010KijekKijekModeling Innovation Diffusion
02 Sep 2017  Potential Scenario Ideas
Kijek, A. and T. Kijek. 20110. Modelling of Innovation Diffusion. Operations Research and Decisions. 34:5368.Abstract: Since the publication of the Bass model in 1969, research on the modelling of the diffusion of innovation resulted in a vast body of scientific literature consisting of...

Examples and Experiences in Teaching a ModelingBased Differential Equations Course MathFest 2017
23 Jul 2017  Presentations
This is the set of materials offered at a Workshop given at the MAA MathFest 2017, Chicago IL, 28 July 2017, Friday, 1:00 – 2:20 p.m., Mobley Room, Chicago Hilton.The session was organized and presented by Rosemary Farley, Manhattan College; Therese Shelton, Southwestern...

A Particular Solutions Formula For Inhomogeneous Arbitrary Order Linear Ordinary Differential Equations
24 May 2017  Articles and Publications
A particular solution for any nonhomogeneous linear second, third, and fourth order ordinary differential equation is generally determined. Applying what was determined thus; and following by example a particular solution formula for arbitrary order is obtained. Finding a particular solutions to...