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  1. 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...

  2. 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): 26-27.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...

  3. Bringing the Differential Course into the Twenty-First 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...

  4. 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...

  5. 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/237-notes.pdf . Accessed 18 June 2019.Andrew D. Lewis, andrew@mast.queensu.ca, is a...

  6. 2015-Ryu-Engineering 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...

  7. 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...

  8. Desjardins, Steven J. and Remi Vaillancourt-2011-Ordinary 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...

  9. 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 well-written set of notes covering the traditional material in a first differential equations course including Laplace...

  10. 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,...

  11. 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...

  12. SIMIODE – A Community for Teaching Modeling-First 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...

  13. 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.

  14. 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): 158-169.Abstract:  We examine two differential equations, (1) first order exponential growth or decay and (2) second...

  15. 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 NSF-funded projects: "MathQUEST: Math Questions to Engage Students" (2006-2009) and...

  16. 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...

  17. 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...

  18. 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,...

  19. 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, 3:15-4:15, 1 May 2016, E101.Abstract: We share a history and examples of a personal evolution for modeling...

  20. 3-030-S-SecondOrderIntro

    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, SIMIODE-SPANISH.cls. Names will be x-y-S-Title-StudentVersion-Spanish and x-y--T-Title-TeacherVersion-Spanish.