SIMIODE

Articles and Publications feed

1. Chemical Kinetics

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   01 Mar 2017 | Contributor(s):: Brian Winkel

   Parameter estimates in differential equation models for chemical kineticsWinkel, B. J. 2010. Parameter estimates in differential equation models for chemical kinetics. International Journal of Mathematical Education in Science and Technology. 42(1): 37- 51.Article Abstract: We discuss the need...

2. Bio Models Database

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   01 Mar 2017 | Contributor(s):: Brian Winkel

   Bio Models Database. 2015. The European Bioinformatics Institute. http://www.ebi.ac.uk/biomodels-main/. Accessed 15 March 2015.Part of the European Molecular Biology Laboratory at the Wellcome Trust Genome Campus, Hinxton, Cambridgeshire, CB10 1SD, UK, EMBL-EBI provides freely available data...

3. Balloon Experiment in the Classroom

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   01 Mar 2017 | Contributor(s):: Brian Winkel

   Gruszka, T. 1994. A Balloon Experiment in the Classroom. The College Mathematics Journal. 25(5): 442-444.We quote from the article,“The following experiment involves a balloon, a stopwatch, and a measurement device such as a meter stick. . . . The goals of the experiment include fostering...

4. Differential equations and the AIDS epidemic: a lecture for Calculus II Students

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   01 Mar 2017 | Contributor(s):: Brian Winkel

   Kenney, Emelie A. 1992. Differential equations and the AIDS epidemic: a lecture for Calculus II Students. PRIMUS. 2(4): 386-392.Article Abstract: This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of first-order...

5. On the General Solution of Initial Value Problems of Ordinary Differential Equations Using the Method of Iterated Integrals

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   10 Jan 2017 | Articles and Publications | Contributor(s):: Ahsan Amin

   Our goal is to give a very simple, effective and intuitive algorithm for the solution of initial value problem of ordinary differential equations of first order and higher order with  constant, variable or nonlinear coefficients and systems of these ordinary differential equations. We find...

6. Compartment Models

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   19 Sep 2016 | Articles and Publications | Contributor(s):: Brian Winkel

   Blomhøj, M, T.H. Kjeldsen, and J. Ottesen. 2014. Compartment Models.From the Introduction of this 47 page chapter the authors say,"Background: It is important to master the ability to develop models. Modeling of dynamical systems plays a very important role in applied science, and...

7. Informed Conjecturing in a Modeling Context Differential Equations

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   18 Sep 2016 | Articles and Publications | Contributor(s):: Brian Winkel

   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...

8. Logistics of Mathematical Modeling-Focused Projects

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   17 Sep 2016 | Articles and Publications | Contributor(s):: Richard Corban Harwood

   Projects provide tangible connections to course content and can motivate students to learn at a deeper level. This article focuses on the implementation of projects in both lower and upper division math courses which develop and analyze mathematical models of a problem based upon known data and...

9. Teaching Math Modeling: Emphasizing the Transform Step with MicroProjects

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   06 Sep 2016 | Articles and Publications | Contributor(s):: Jonathan Paynter, George Hughbanks

   This paper describes and evaluates an effort to improve first-year college math students’ ability to quantitatively setup a mathematical model given an ill-defined problem. Six specific assignments were created for a treatment group of 70 students as part of a course of 250 students. Grade...

10. Different Technologies in Use

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    22 Feb 2016 | Articles and Publications | Contributor(s):: Brian Winkel

    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....

11. User Comments on SIMIODE 1-1-M&M - Death and Immigration Modeling Scenario

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    21 Sep 2015 | Articles and Publications | Contributor(s):: John Thoo

    John  Thoo, Department of Mathematics and Statistics, Yuba College, offers detailed narrative review on his use of this material

12. Chemical Kinetics - Simple Binding

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    16 Sep 2015 | Articles and Publications | Contributor(s):: Brian Winkel

    Knott, G. D. 2015. Chemical Kinetics:  Simple Binding F + G<=> B.  Civilized Software, Inc.:  www.civilized.com.This paper is offered by developer of MLAB, an advanced mathematical and statistical modeling system. MLAB is an ideal tool for mathematical and statistical...

13. Numerical to Closed Form Solution - Derivation

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    16 Sep 2015 | Articles and Publications | Contributor(s):: Brian Winkel

    Knott, G. D. and D. Kerner. 2015. Derivatives. Civilized Software, Inc. Publishers of MLAB: www.civilized.com.This is a v eryi nice technical paper on moving from numerical solutions to closed form analytic solutions as evidence of convergence of numerical efforts and is offered by the...

14. The Mathlet Toolkit: Creating Dynamic Applets for Differential Equations and Dynamical Systems

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    10 Aug 2015 | Articles and Publications | Contributor(s):: Robert Decker

    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...

15. Technology and the Mathematics Curriculum

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    21 Jul 2015 | Articles and Publications | Contributor(s):: Brian Winkel

    2015 CUPM Curriculum Guide to Majors in the Mathematical SciencesTechnology and the Mathematics Curriculum, pp. 81-92. http://www.maa.org/sites/default/files/pdf/CUPM/pdf/CUPMguide_print.pdf. 

16. CUPM Curriculum Guide - Differential Equations

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    21 Jul 2015 | Articles and Publications | Contributor(s):: Brian Winkel

    2015 CUPM Curriculum Guide to Majors in the Mathematical Sciences, Course Area Reports. (Ordinary) Differential Equations. http://www2.kenyon.edu/Depts/Math/schumacherc/public_html/Professional/CUPM/2015Guide/Course%20Groups/OrdDiffeq.pdf

17. Does Professor Quality Matter?

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    20 Jul 2015 | Articles and Publications | Contributor(s):: Brian Winkel

    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:...

18. Tumor growth/Gompertz model article in PRIMUS

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    14 Jul 2015 | Articles and Publications | Contributor(s):: Hope McIlwain

    Abstract of the article: The use of modeling projects serves to integrate, reinforce, and extend student knowledge. Here we present two projects related to tumor growth appropriate for a first course in differential equations.  They illustrate the use of problem-based learning to...

19. Ten Equations that Changed Biology

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    25 Jun 2015 | Articles and Publications | Contributor(s):: John R. Jungck

    Jungck, John R. 1007. Ten Equations that Changed Biology:  Mathematics  in Problem-Solving  Biology Curricula. Bioscene. 23(1): 11-35.The author is a member of the Department of Biology, Beloit College, Beloit,  WI USA.From the introduction, "These equations were...

20. Notes-Compartment models

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    24 Jun 2015 | Articles and Publications | Contributor(s):: M. Blomhøj, T> H. Kjeldsen, J. Ottesen

     Blomhøj, M., T.H. Kjeldsen, and J. Ottesen. 2014. Compartment models.  North Carolina State University.  47 pp. http://www4.ncsu.edu~msolufse/Compartmentmodels.pdf . Accessed 15 June 2015.From the Introduction"Compartment models are often used to describe transport of...