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1-109-T-EmployeeAttrition
25 Mar 2019 | Modeling Scenarios
This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations. This is intended for introductory students and is paired well with exponential growth/decay...
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6-070-T-BeerBubbles
24 Apr 2018 | Modeling Scenarios
The goal of this project is to set up and numerically solve a first-order nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that form at the bottom of a glass and rise to the top. The system solution is then used to verify...
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Mike Karls - Incorporating a Modeling First Approach into a Traditional ODE Course
18 Jan 2018 | Presentations
Incorporating a Modeling First Approach into a Traditional ODE Course by Mike Karls. Ball State University.A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego CA, 9-13...
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2013-HuberEtAl-Teaching Differential Equations With Modeling
11 Sep 2017 | Potential Scenario Ideas
2013-HuberEtAl-Teaching Differential Equations With Modeling. Notes from JMM 2013 Minicourse.From the preface, “Mathematical modeling has been an important part of our differential equations courses for many years and we appreciate the opportunity to share our passion and ideas with you....
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2012-Kerckhove-Mathematica Pop Dynamics Tutorial PDE
10 Sep 2017 | Potential Scenario Ideas
Kerckhove, Michael. 2012. From Population Dynamics to Partial Differential Equations. The Mathematica Journal. 14: 1-18.Abstract: Differential equation models for population dynamics are now standard fare in single-variable calculus. Building on these ordinary differential equation (ODE)...
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Marrongelle-Bibliography Teaching Learnig DEs
10 Sep 2017 | Potential Scenario Ideas
Marrongelle-Bibliography Teaching Learnig DEs. 6 pp. https://www.codee.org/jmm2013minicourse/teaching-and-learning-of-diffeqs-bibliography.pdf . Accessed 5 September 2017.This is a good starting point for general teaching and application references.Keywords: differential equation,...
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2001-Cheng-TeachingMathematicalModeling
08 Sep 2017 | Potential Scenario Ideas
Cheng, Ang Keng. 2001. Teaching mathematical modelling in Singapore schools. The Mathematics Educator. 6(1): 63-75. Published by Association of Mathematics EducatorsFrom Introduction, “The purpose of this paper is to examine the possibility of introducing the teaching of mathematical...
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2002-Fay-ThePendulumEquation
08 Sep 2017 | Potential Scenario Ideas
Fay, T. 2001.The Pendulum Equation. Int. J. Math. Educ. Sci. Technology. 33(4): 505-519.Abstract:We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for it. On the one hand, we suggest that the third and fifth-order Taylor series...
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Learning from doing modeling in a differential equations course
24 Jul 2017 | Presentations
This is a talk given in the Contributed Paper Session, Enrichment, Experiences, and Examples with Modeling in Differential Equations Courses, offered at the MAA MathFest Meeting in Chicago IL, 27-29 July 2017.Abstract: When a teacher attempts to enrich a differential equations...
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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...
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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...
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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...
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Different Technologies in Use
22 Feb 2016 | Articles and Publications
We offer a student posting at the Differential Equations and Fourier Series group found on FaceBook to illustrate the different technologies in use. We believe what follows illustrates the different technologies faculty and students can use and their preferences for many different reasons....
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SIMIODE - Building a Learning Community to Teach Modeling-First Differential Equations - A CONVERSATION
04 Feb 2016 | Presentations
A presentation, SIMIODE - Building a Learning Community to Teach Modeling-First Differential Equations - A CONVERSATION, by Dr. Brian Winkel, Director SIMIODE, Cornwall NY USA at Oregon Institute of Technology, Klamath Falls OR USA on 21 January 2016.
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Teaching Differential Equations the SIMIODE Way
04 Feb 2016 | Presentations
Teaching Differential Equations the SIMIODE Way, a presentation by John B. Thoo, Yuba College, Marysville CA at the Contributed Paper Session: The Teaching and Learning of Undergraduate Ordinary Differential Equations 2016 AMS-MAA JMM, Seattle WA USA.
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Modeling First Techniques Just In Time
04 Feb 2016 | Presentations
A Presentation by Dr. Eric Sullivan (Teacher) and Elizabeth Sullivan (Student) from Carroll College, Helena MT USA describing how differential equations is taught in a modeling first manner.
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The Mathlet Toolkit: Creating Dynamic Applets for Differential Equations and Dynamical Systems
10 Aug 2015 | Articles and Publications
Decker, Robert. 2011. The Mathlet Toolkit: Creating Dynamic Applets for Differential Equations and Dynamical Systems. International Journal for Technology in Mathematics Education. 18(4): 189-194.Abstract: Dynamic/interactive graphing applets can be used to supplement standard computer...
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Does Professor Quality Matter?
20 Jul 2015 | Articles and Publications
Does Professor Quality Matter? Evidence from Random Assignment of Students to Professors Author(s): Scott E. Carrell and James E. WestSource: Journal of Political Economy, Vol. 118, No. 3 (June 2010), pp. 409-432 Published by: The University of Chicago PressStable URL:...
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Parameter Estimation
15 Jul 2015 | General Resources
We offer a file related to the effort to estimate parameters in differential equation or function models. The file shows the MatLab code and the comparable Mathematica code for the same results.
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The Housekeeper and the Professor
04 Jul 2015 | Articles and Publications
Ogawa, Yoko. 2009 The Housekeeper and the Professor: A Novel. Translated by Stephen Snyder. New York NY: Picador. Paperback. $14,00US. ISBN-13: 978-031242780. This is a wonderful story of a housekeeper sent to care for a Professor of mathematics. It is short, sweet, filled with images of...