
2016CamporesiImpulsive response method using factorization.
03 Mar 2018  Contributor(s):: Roberto Camporesi
Camporesi, Roberto. 2016. A fresh look at linear ordinary differential equations with constant coefficients. Revisiting theimpulsive response method using factorization. Int. J. Math. Educ. Sci. Technol. 47(1): 8299Summary: We present an approach to the impulsive response method for solving...

2015SivakumarRajendranKineticModelBananaWaste
03 Mar 2018  Contributor(s):: Pavithra Sivakumar, Lakshmanan Rajendran
Sivakumar, Pavithra and Lakshmanan Rajendran. 2012. Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste. Applied Mathematics. 5(1): 714.Abstract: The initial value problem in a kinetic model for biogas generation from...

Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers
03 Mar 2018  Contributor(s):: Russell L. Herman
Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers. Text book. 369 pp. http://people.uncw.edu/hermanr/mat361/ODEBook/ODE1.pdf . Accessed 2 March 2018.This is a selfpublished text book with excellent coverage and solid mathematics and theory to support...

2007Bellomo EtAlLectureNotesMathModelingInAppliedScience
03 Mar 2018  Contributor(s):: Nicola Bellomo
Bellomo, Nicola , Elena De Angelis, and Marcello Delitala. 2007. Lecture Notes on Mathematical Modelling in Applied Sciences, Lecture Notes. 168 pp.From the Opening of the Notes:The Lecture Notes collected in this book refer to a university course delivered at the Politecnico of Torino to...

HohenauerPhysical modelling based on first order ODEs
03 Mar 2018  Contributor(s):: W. Hohenauer
Hohenauer, W. Physical modelling based on first order ODEs. Notes. 22 pp.http://www.phox.at/upload/Physical%20modelling%20based%20on%20first%20order%20ODEs%20(v1.3).pdf . Accessed 3 March 2018.Abstract: An introduction in techniques to solve first order ODE´s is given....

2003RasmussenKeynesLinesOfEigenVectorsSolutionsToSytemsOfLinearDifferentialEquations
03 Mar 2018  Contributor(s):: Chris Rasmussen, Michael Keynes
Rasmussen, Chris and Michael Keynes. 2003. Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations. PRIMUS. 13(4): 308320.Abstract: The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of...

2011Gaff EtAlOptimalControlManagementTickBorneDisease
03 Mar 2018  Contributor(s):: Holly D. Gaff
Gaff, Holly D., Elsa Schaefer, and Suzanne Lenhart. 2011. Use of optimal control models to predict treatment time for managing tickborne disease. Journal of Biological Dynamics. 5(5): 517530Abstract: Tickborne diseases have been on the rise recently, and correspondingly, there is an...

LionAntelopeChasing
03 Mar 2018  Contributor(s):: Unknown
Lion chases down an Antelope (source unknown)From the document,“Suppose an antelope is running along a straight path at a constant speed k. Without loss of generality suppose he is running along the x axis.“A lion starts chasing the antelope at a speed 2k in such a way that the...

2009Das EtAl BioeconomicHarvestingJBioDynamics
03 Mar 2018  Contributor(s):: Tapasi Das
Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a prepredator fishery. Journal of Biological Dynamics. 3(5): 447462.Abstract: This paper deals with the problem of nonselective harvesting of a prey–predator system by using a reasonable catchrate...

Approximating cosine and sine functions numerically
01 Mar 2018  Contributor(s):: Hans Rudolf Schneebeli
Abstract:How can function values for sine or cosine be quickly and reliably numerically estimated? We consider equal circular motions on the unit circle in the complex plane and find sine and cosine as solutions of a differential equation. The two functions can be numerically...

Two competing populations: simulations with differential equations
01 Mar 2018  Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan
Abstract: Suppose two populations are competing with each other. How can they then develop? We offer insights with simulation calculations. In the model is the evolution of the biomass of the two populations described with differential equations. A fundamental building block is the logistic...

Population Modeling
01 Mar 2018  Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan
This paper offers many problems inolving a single population model while introducing several specific models. Both numerical methods and qualitative anlyses are offered.The paper is in German and is entitled, "Populationsmodelle: Eine Einführung in Differentialgleichungen."Hans R....

Modeling Falling Bodies
01 Mar 2018  Contributor(s):: Hans Rudolf Schneebeli
Modelling falling bodies is discussed using a computer algebra systemcalculator and introducing various traditional and elementary methods from calculus as well as numerics for dealing with the resulting ordinary differential equations.This article is in German under the title,...

SCUDEM II 2018 Modeling Problems and Team Submissions
10 Feb 2018  General Resources  Contributor(s):: Brian Winkel
SCUDEM II 2018 PROBLEMS AND SUPPLEMENTAL ISSUESHere you will find one PDF document, SCUDEM II 2018 Problems A B C.pdf  as black box Download pdf above, containing all three of the Modeling Problems for use in SCUDEM II 2018, along with a reference paper for one of the problems....

1079SHomeHeating
30 Jan 2018  Modeling Scenarios  Contributor(s):: Kurt Bryan
This project concerns the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return? Both scenarios are analyzed in a series of exercises.

Modeling the Opioid Epidemic in the United States
19 Jan 2018  Potential Scenario Ideas  Contributor(s):: Brian Winkel, Bill Skerbitz
Bill Skerbitz, Wayzata High School, Plymouth MN USA, passed this along as an idea for a Modeling Scenario."When I met with Bev West, Emerita Ithaca College, Ithaca NY USA, she mentioned that they plan on putting out a special issue of the CODEE journal that is focused on matters of...

Dina Yagodich  Sneaking in LaTeX
19 Jan 2018  Presentations  Contributor(s):: Dina Yagodich
Sneaking in LaTeXBy Dina Yagodich, Frederick Community CollegeThis talk was part of a different COntributed Paper Session, but was deemed appropriate to list here as the presenter was an organizer of the AMS Special Session on Modeling in Differential Equations  High School, TwoYear...

Yagodich, Winkel, Skerbitz, Harwood  Panel  Experience with Engaging in Modeling in a Differential
19 Jan 2018  Presentations  Contributor(s):: Brian Winkel, Dina Yagodich, Richard Corban Harwood, Bill Skerbitz
Panel  Experience with Engaging in Modeling in a DifferentialBy Dina Yagodich, Frederick Community Colllege; Brian Winkel, SIMIODE; Bill Skerbitz, Wayzata High School; Corban Harwood, George Fox University.A panelgiven at the AMS Special Session on Modeling in Differential Equations...

Corban Harwood  Managing Project Logistics in Teaching Differential Equations
19 Jan 2018  Presentations  Contributor(s):: Richard Corban Harwood
Managing Project Logistics in Teaching Differential EquationsByCorban Harwood , George Fox University.A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913 January 2018.

Jennifer Czocher  What outcomes might we anticipate from students engaging concurrently with modeling and differential equations content?
19 Jan 2018  Presentations  Contributor(s):: Jennifer Czocher
What outcomes might we anticipate from students engaging concurrently with modeling and differential equations content?ByJennifer Czocher, Texas State University  San Marcos.A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear...