
2021Radhka, T. S. L.  Notes on Frobenius method
06 Sep 2021  Contributor(s):: T S L Radhika
Radhka, T. S. L. 2021. Notes on Frobenius methodAbstract: This article explains and demonstrates applications of the Frobenius theory as discussed in thebook by Simmons on “Differential Equations with Applications and Historical Notes.” We specificallydiscuss the...

2019Bukaita, Wisam Victor Yossif; Kelcey Meaney; and Angie Dimopulos  Ice Coverage in the Arctic Climate over time
17 Aug 2019   Contributor(s):: Wisam Victor Yossif Bukaita, Kelcey Meaney, Angie Dimopulos
In this paper, entitled Ice Coverage in the Arctic Climate, from two students, Angie Dimopulos and Kelcey Heaney, and their professor, Dr. Wisam Bukaita, ice coverage in the Arctic is modeled over time. We present their abstract here and include the paper itself.ABSTRACT The Arctic plays a...

2017Winkel, Brian  Let's Do It: Using Modeling in the Classroom
14 May 2017   Contributor(s):: Brian Winkel
Winkel, B. J. 2017. Let's Do It: Using Modeling in the Classroom. MAA FOCUS. 37(2): 2627.In this article the author, Brian Winkel, Director of SIMIODE, attempts to make the case for modeling in the differential equations classroom by giving both rationale and examples.The...

1992Kenney, Emelie  Differential equations and the AIDS epidemic: a lecture for Calculus II Students
01 Mar 2017   Contributor(s):: Brian Winkel
Kenney, Emelie A. 1992. Differential equations and the AIDS epidemic: a lecture for Calculus II Students. PRIMUS. 2(4): 386392.Article Abstract: This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of firstorder...

2016aynter, Jonathan and George Hughbanks  Teaching Math Modeling: Emphasizing the Transform Step with MicroProjects
06 Sep 2016   Contributor(s):: Jonathan Paynter, George Hughbanks
This paper describes and evaluates an effort to improve firstyear college math students’ ability to quantitatively setup a mathematical model given an illdefined problem. Six specific assignments were created for a treatment group of 70 students as part of a course of 250 students. Grade...

2015Thoo, John  User Comments on SIMIODE 11M&M  Death and Immigration Modeling Scenario
21 Sep 2015   Contributor(s):: John Thoo
John Thoo, Department of Mathematics and Statistics, Yuba College, offers detailed narrative review on his use of this material

2015Knott, G. D. and D. Kerner  Numerical to Closed Form Solution  Derivation
16 Sep 2015   Contributor(s):: Brian Winkel
Knott, G. D. and D. Kerner. 2015. Derivatives. Civilized Software, Inc. Publishers of MLAB: www.civilized.com.This is a very nice technical paper on moving from numerical solutions to closed form analytic solutions as evidence of convergence of numerical efforts and is offered by the...

2011Decker, Robert  The Mathlet Toolkit: Creating Dynamic Applets for Differential Equations and Dynamical Systems
10 Aug 2015   Contributor(s):: Robert James Decker
Decker, Robert. 2011. The Mathlet Toolkit: Creating Dynamic Applets for Differential Equations and Dynamical Systems. International Journal for Technology in Mathematics Education. 18(4): 189194.Abstract: Dynamic/interactive graphing applets can be used to supplement standard computer...

2015MAA CUPM Curriculum Guide  Differential Equations
21 Jul 2015   Contributor(s):: Brian Winkel
2015 CUPM Curriculum Guide to Majors in the Mathematical Sciences, Course Area Reports. (Ordinary) Differential Equations.http://www2.kenyon.edu/Depts/Math/schumacherc/public_html/Professional/CUPM/2015Guide/Course%20Groups/OrdDiffeq.pdf

2010Panfilov, Alexander  NotesQualitative Analysis of Differential Equations
22 Jun 2015   Contributor(s):: Alexander Panfilov
Panfilov, Alexander. 2010. Qualitative Analysis of Differential Equations. 2010. Theoretical Biology, Utrecht University. 116 pp. http://wwwbinf.bio.uu.nl/panfilov/bioinformatica/bioinf10.pdf . Accessed 22 June 2015.This is a set of notes with derivations, motivating illustrations,...

2012Ogunrinde, R. B. and J. Sunday  On some models based on second order differential equations
22 Jun 2015   Contributor(s):: R. B. Ogunrinde, J. Sunday
Ogunrinde, R. B. and J. Sunday. 2012 On some models based on second order differential equations. American Journal of Scientific and Industrial Research. 3(5): 288291.Article Abstract: This paper presents some models based on second order differential equations. Such models include...

2008Chern, ILiang  NotesMathematical Modeling and Ordinary Differential Equations
22 Jun 2015   Contributor(s):: ILiang Chern
Chern, ILiang. 2008. Mathematical Modeling and Ordinary Differential Equations. Notes. Department of Mathematics, National Taiwan University. http://scicomp.math.ntu.edu.tw/wiki/images/c/c0/Chern_ode.pdf . Accessed 22 June 2015.This a set of notes using Maple and tied to a version of...

2004McCartney, Mark  Traffic Flow Modeling Using Second Order Ordinary Differential Equations
22 Jun 2015   Contributor(s):: Mark McCartney
Mark McCartney. 2004. Keep your distance! using secondorder ordinary differential equations to model traffic flow. International Journal of Mathematical Education in Science and Technology. 35(4): 588596,Article Abstract: A simple mathematical model for ...

2007Myers, Joseph and Brian Winkel  Modeling a Mystery Circuit in Mathematics Class Using Differential Equations, Laplace Transforms, and Transfer Functions
31 May 2015   Contributor(s):: Joseph Myers, Brian Winkel
From Myers, Joseph and Brian Winkel. 2007. Modeling a Mystery Circuit in Mathematics Class Using Differential Equations, Laplace Transforms, and Transfer Functions. The UMAP Journal, 28(1): 1526.We discuss the introduction, student discovery, and teaching of a system of differential...

2013Winkel, Brian  Browsing Your Way to Better Teaching
31 May 2015   Contributor(s):: Brian Winkel
From Winkel, Brian. 2013. Browsing Your Way to Better Teaching, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 23:3, 274290We describe the use of browsing and searching (in libraries, online, inside sources, at meetings, in abstracts, etc.) as a way to...