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  1. 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...

  2. 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...

  3. 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...

  4. 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....

  5. 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)...

  6. 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,...

  7. 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...

  8. 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...

  9. 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...

  10. 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...

  11. 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...

  12. 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...

  13. 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....

  14. 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.

  15. 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.

  16. 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.

  17. 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...

  18. 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:...

  19. 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.

  20. 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...