
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...

Let's Do It: Using Modeling in the Classroom
14 May 2017  Articles and Publications
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 entire...

Bringing the Differential Course into the TwentyFirst Century With a Computer Algebra System and a Modeling First Approach
08 Mar 2017  Presentations
This talk was presented at the AMS Special Session on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.This presentation will explain how we used a computer algebra system together with a modeling first approach...

Creating and Using Videos in Support of Modeling in Differential Equations Course Work
08 Mar 2017  Presentations
This talk was presented at the AMS Special Session on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.This presentation discusses and gives rich examples of resources and software for video production to use in...

Lewis, Andrew D. 2017. Introduction to Differential Equations for Smart Kids
05 Mar 2017  Free Online Texts
Author: Lewis, Andrew D.Date of Publication: 23 January 2017Title: Introduction to Differential Equations for Smart KidsLLLocation: https://mast.queensu.ca/~andrew/teaching/pdf/237notes.pdf . Accessed 18 June 2019.Andrew D. Lewis, andrew@mast.queensu.ca, is a...

2015RyuEngineering Mathematics  Differential Equations
03 Mar 2017  Potential Scenario Ideas
Ryu, Jaeku. 2015. ShareTechNote. Engineering Math – Differential Equations. http://www.sharetechnote.com/html/EngMath_DifferentialEquation.html . Accessed on 31 May 2015. This is a remarkable set of rich resources for engineering education and we note the strong conviction of the...

Reasons for SIMIODE  White Paper
05 Nov 2016  General Resources
We offer reasons and background for the work offered in SIMIODE. We support the notion that students learn mathematics best when it is in context and there is interest and curiosity present. We present details on a community of teachers and learners in SIMIODE who are interested in teaching and...

Desjardins, Steven J. and Remi Vaillancourt2011Ordinary Differential Equations, Laplace Transforms, and Numerical Methods for Engineers
17 Oct 2016  Free Online Texts
Desjardins, Steven J. and Remi Vaillancourt. 2011. Ordinary Differential Equations, Laplace Transforms, and Numerical Methods for Engineers, Notes for the Course MAT 2384 3X. Departement de mathematiques et de statistique/Department of Mathematics and Statistics, Universite...

Shen, Wen. 2015. Lecture Notes for Math 251: Introduction to Ordinary and Partial Differential Equations
04 Oct 2016  Free Online Texts
Shen, Wen. 2015. Lecture Notes for Math 251: Introduction to Ordinary and Partial Differential Equations. 234 pp.http://www.math.psu.edu/shen_w/PDF/NotesPDE.pdfThis is a wellwritten set of notes covering the traditional material in a first differential equations course including Laplace...

Tenenbaum, Morris and Harry Pollard. 1963. Ordinary Differential Equations: An Elementary Textbook for Students in Mathematics, Engineering, and the Sciences.
04 Oct 2016  Free Online Texts
Tenenbaum, Morris and Harry Pollard. 1985. Ordinary Differential Equations: An Elementary Textbook for Students in Mathematics, Engineering, and the Sciences. Dover Publications. 819 pp.Republished in 1985. New York: Dover Publications. First published in 1963 by Harper & Row,...

Malham, Simon J.A. Differential Equations and Linear Algebra
04 Oct 2016  Free Online Texts
Malham, Simon J.A. Differential Equations and Linear Algebra. 95 pp.http://www.macs.hw.ac.uk/~simonm/linalg.pdf . Accessed 4 October 2016.This is a nice set of noted on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform...

SIMIODE – A Community for Teaching ModelingFirst Differential Equations
25 Sep 2016  Presentations
This is the first SIAM Conference on Applied Mathematics Education held in Philadelphia PA USA, 28 September  2 October 2016. We offer a presentation entitled, "SIMIODE  A Community for Teaching Modeling First Differential Equations."Abstract: SIMIODE  Systemic Initiative for...

Differential Equations at Westminster College Personal Account
21 Sep 2016  Sample Syllabi and Course Reflections
This paper describes the author's experiences teaching differential equations with a strong modeling component at a small liberal arts college. The course structure and incorporation of modeling are discussed, as well as challenges and rewards associated with this approach.

Informed Conjecturing in a Modeling Context Differential Equations
18 Sep 2016  Articles and Publications
This is the preprint version of the published article: Winkel, B. J. 2015. Informed Conjecturing of Solutions for Differential Equations in a Modeling Context. PRIMUS. 25(2): 158169.Abstract: We examine two differential equations, (1) first order exponential growth or decay and (2) second...

Resources for Clickers and Classroom Voting in Collegiate Mathematics
17 Sep 2016  General Resources
"This page contains resources for classroom voting in mathematics, also known as ConcepTests for Peer Instruction or "Clicker Questions". These materials were developed through two NSFfunded projects: "MathQUEST: Math Questions to Engage Students" (20062009) and...

Modeling in Differential Equations Doing, Learning, and Teaching
14 Sep 2016  Presentations
On 15 September 2016 Brian Winkel, Director of SIMIODE, is giving a talk to the Society for Industrial and Applied Mathematics, SIAM Student Chapter, New York City College of Technology, Brooklyn NY. The talk will engage students and faculty in modeling activities and give an overview of the...

SIMIODE  A Community for Teaching Modeling First Differential Equations
09 Aug 2016  Presentations
This presentation was offered at the MAA MathFest, COlumbus OH, 4 August 2016, Title and Abstract for General Contributed Paper Sessions under Modeling and ApplicationsSIMIODE  Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations...

Teaching Differential Equations Using a Modeling First Approach in SIMIODE
27 Apr 2016  Presentations
A presentation, "Teaching Differential Equations Using a Modeling First Approach in SIMIODE," at the contributed Paper Session on Pedagogy, at the MAA Metro New York Section held at Vaughn College of Aeronautics and Technology, 4:55  5:10, 1 May 2016,...

Integrating writing and projects into mathematics courses
27 Apr 2016  Presentations
Presentation slides for Project NExT Panel – Teaching with Projects and Technology at MAA Metro New York Section held at Vaughn College of Aeronautics and Technology, 3:154:15, 1 May 2016, E101.Abstract: We share a history and examples of a personal evolution for modeling...

3030SSecondOrderIntro
22 Apr 2016  Modeling Scenarios
SPANISH LANGUAGE VERSION We have placed in Supporting Docs both Student and Teacher Version (LaTeX and PDF Versions) with a Spanish LaTeX Class file, SIMIODESPANISH.cls. Names will be xySTitleStudentVersionSpanish and xyTTitleTeacherVersionSpanish.