
2015Ryu Engineering Mathematics  Differential Equations
03 Mar 2017
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...

3110TMilitarySpringMassApplication
25 Feb 2017  Modeling Scenarios
The project is a collection of five different scenarios regarding the shock system of a trailer; the first three are chronological and the latter two are optional independent scenarios. In each scenario, students will transform the shock system of a trailer into a secondorder differential...

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...

3065TUpDown
05 Oct 2016  Modeling Scenarios
We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and terminal velocity.

1061TPotatoCooling
05 Oct 2016  Modeling Scenarios
We model the cooling of a baked potato and compare it to studentcollected data.

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...

1120TCircularRollerCoaster
27 Sep 2016  Modeling Scenarios
Students will study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction. This problem is an excellent introduction for students to apply physics in reallife. A basic...

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...

4035TParEstSteadyState
09 Sep 2016  Modeling Scenarios
We offer the opportunity to estimate parameters in a second order, linear, constant coefficient, nonhomogeneous,ordinary differential equations through analysis of of the steady state solution. This means by applying a driver of our chose we can collect data in terms of the unknown parameters...

3029TFerrisWheelCatch
09 Sep 2016  Modeling Scenarios
We offer the opportunity to model the throw of an object to a person on a moving Ferris wheel.

1095TRatingChessPlayers
17 Aug 2016  Modeling Scenarios
The goal of this activity is to have students build a mathematical model involving a system of first order difference equations from a verbal description of a scenario. In the first part of the activity, students will read a description of a method used to rate chess players. From the verbal...

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...

1044TCollegeBound
31 Jul 2016  Modeling Scenarios
Preparing for four years of college for a friend of the family's newborn is the task. Making assumptions about costs, timing, interest rates, and fiscal capabilities are the order of the day.