
Chemical Kinetics
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...

Bio Models Database
01 Mar 2017  Contributor(s):: Brian Winkel
Bio Models Database. 2015. The European Bioinformatics Institute. http://www.ebi.ac.uk/biomodelsmain/. Accessed 15 March 2015.Part of the European Molecular Biology Laboratory at the Wellcome Trust Genome Campus, Hinxton, Cambridgeshire, CB10 1SD, UK, EMBLEBI provides freely available data...

Balloon Experiment in the Classroom
01 Mar 2017  Contributor(s):: Brian Winkel
Gruszka, T. 1994. A Balloon Experiment in the Classroom. The College Mathematics Journal. 25(5): 442444.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...

Differential equations and the AIDS epidemic: a lecture for Calculus II Students
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): 386392.Article Abstract: This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of firstorder...

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

Compartment Models
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...

Informed Conjecturing in a Modeling Context Differential Equations
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): 158169.Abstract: We examine two differential equations, (1) first order exponential growth or decay and (2) second...

Logistics of Mathematical ModelingFocused Projects
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...

Teaching Math Modeling: Emphasizing the Transform Step with MicroProjects
06 Sep 2016  Articles and Publications  Contributor(s):: Jonathan Paynter, George Hughbanks
This paper describes and evaluates an effort to improve firstyear college math students’ ability to quantitatively setup a mathematical model given an illdefined problem. Six specific assignments were created for a treatment group of 70 students as part of a course of 250 students. Grade...

Different Technologies in Use
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....

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

Chemical Kinetics  Simple Binding
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...

Numerical to Closed Form Solution  Derivation
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...

The Mathlet Toolkit: Creating Dynamic Applets for Differential Equations and Dynamical Systems
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): 189194.Abstract: Dynamic/interactive graphing applets can be used to supplement standard computer...

Technology and the Mathematics Curriculum
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. 8192. http://www.maa.org/sites/default/files/pdf/CUPM/pdf/CUPMguide_print.pdf.

CUPM Curriculum Guide  Differential Equations
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

Does Professor Quality Matter?
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. 409432 Published by: The University of Chicago PressStable URL:...

Tumor growth/Gompertz model article in PRIMUS
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 problembased learning to...

Ten Equations that Changed Biology
25 Jun 2015  Articles and Publications  Contributor(s):: John R. Jungck
Jungck, John R. 1007. Ten Equations that Changed Biology: Mathematics in ProblemSolving Biology Curricula. Bioscene. 23(1): 1135.The author is a member of the Department of Biology, Beloit College, Beloit, WI USA.From the introduction, "These equations were...

NotesCompartment models
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...