
MAA Virtual Programming, 26 and 28 October 2021 Resources with Calculus El Al. Modeling Resource Papers
24 Oct 2021   Contributor(s):: Brian Winkel
We place resources fom the SIMIODE MAA Virtual Programming, 26 and 28 October 2021. We enclose a number of papers published by Brian Winkel, Director SIMIODE, which offer support for modeling and application in calculus instruction.

3076SCircuitBuilding
27 Jul 2021   Contributor(s):: Chiu Choi
In this project students will establish a mathematical model for an electric circuit as a secondorder ordinary differential equation with constant coefficients. They will derive the initial conditions for this differential equation by using circuit laws. They will obtain its closedform solution...

2013GonzalezParra, Gilberto and Abraham J. Arenas  A Mathematical Model for Social Security Systems with Dynamical Systems.
09 Dec 2018   Contributor(s):: Brian Winkel
GonzalezParra, Gilberto and Abraham J. Arenas. 2014. A Mathematical Model for Social Security Systems with Dynamical Systems. Ingeniería y Ciencia. 10(19):...

Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers
03 Mar 2018   Contributor(s):: Russell L. Herman
Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers. Text book. 369 pp. http://people.uncw.edu/hermanr/mat361/ODEBook/ODE1.pdf . Accessed 2 March 2018.This is a selfpublished text book with excellent coverage and solid mathematics and theory to...

2007Bellomo, Nicola , Elena De Angelis, and Marcello Delitala  Lecture Notes on Mathematical Modelling in Applied Sciences
03 Mar 2018   Contributor(s):: Nicola Bellomo
Bellomo, Nicola , Elena De Angelis, and Marcello Delitala. 2007. Lecture Notes on Mathematical Modelling in Applied Sciences, Lecture Notes. 168 pp.See https://staff.polito.it/marcello.delitala/dwd/mechanic_Simai.pdf .From the Opening of the Notes:The Lecture Notes...

Rasmussen, C., K. Keene, J. Dunmye, and N. Fortune. 2017. InquiryOriented Differential Equations.
05 Jan 2018   Contributor(s):: Brian Winkel
Authors: Rasmussen , C., K. Keene, J. Dunmye, and N. Fortune.Date of Publication: 20i7.Title: InquiryOriented Differential Equations.Location: https://iode.sdsu.eduAccessed 5 January 2018.This online text with both Student version and Teacher version (for...

3 Ways to Get More Women Into Tech
08 Nov 2017 
Posted by Brian Winkel
We read this article today and thought more people ought to see it. We especially liked the part that says, “We have found that by pairing theory with realworld applications,...
https://simiode.org/blog/2017/11/3waystogetmorewomenintotech

2017University of Michigan  Math 216 Demonstrations
12 Sep 2017   Contributor(s):: Brian Winkel
Math 216 Demonstrations. https://instruct.math.lsa.umich.edu/lecturedemos/ma216/docs/ . Accessed 11 September 2017.This site contains many, many applications with good presentation and analysis as well as Matlab files to illustrate the concepts. For example modeling a swinging door with...

2017Kallen, Anders  Single species models in continuous time
12 Sep 2017   Contributor(s):: Brian Winkel
Kallen, Anders. Single species models in continuous time. Lecture notes. 4 pp.http://www.maths.lth.se/matematiklth/personal/andersk/kurser/biomath2016/F4.pdf . Accessed 11 Septembe 2017.Part of a series of Lecture notes this lecture contains rich materials on logistic harvest...

2015Sebesyen, G. S. and I Farago  Invasive Species Model with Linear Rat Harvesting on Easter Island.
12 Sep 2017   Contributor(s):: Brian Winkel
Sebesyen, G. S. and I Farago. 2015. Invasive Species Model with Linear Rat Harvesting on Easter Island. J Appl Computat Math. 4(6): 16.See https://www.researchgate.net/publication/294108452_Invasive_Species_Model_with_Linear_Rat_Harvesting_on_Easter_Island .From the paper we...

2010Phillips, Collin  Modelling and Calculus. Draft Text
11 Sep 2017   Contributor(s):: Brian Winkel
Phillips, Collin. 2010. Modelling and Calculus. Draft Text. 72 pp.Basically, this is what the author offers, “The interpretation and translation of natural and real world problems that are described in words into a specification and description of the modelling problem in the language...

2017Unknown  Ten DE Application Problems
10 Sep 2017   Contributor(s):: Brian Winkel
Ten Application Problems of Differential EquationA list of 10 applications anonymous list with these instructions, “For each problem, set up a differential equation modeling the situation. Be sure to define your variables, state the units being used, and determine the initial condition....

1984Davis, Mark  NumericalMethods  Modeling For Chemical EngineeringText
09 Sep 2017   Contributor(s):: Brian Winkel
Davis, Mark. E. 1984. Numerical Methods and Modeling for Chemical Engineers. NewYork: John Wiley & Sons. 264 pp.From the PrefaceThis book is an introduction to the quantitative treatment of differential equations that arise from modeling physical phenomena in the...

2009MartinezLuaces  Modelling Applications Inverse Modelling
07 Sep 2017   Contributor(s):: Brian Winkel
MartinezLuaces, Victor. 2009. Modelling, applications and inverse modelling: innovations in differential equations courses. Seventh Southern Right Delta Conference. pp. 159170.Abstract: Differential equations and Laplace transform are widely used to solve problems concerned with...

Celso Melchiades Doria
I was a Full Professor at the Mathematics Department of the Federal University of Santa, Brazil. Since 2019 I am retired, though I am still lecturing, guiding graduate students and doing research...
https://simiode.org/members/1910

2015Ryu, Jaeku  ShareTechNote. Engineering Math – Differential Equations.
03 Mar 2017   Contributor(s):: Jaeku Ryu
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...

Tenenbaum, Morris and Harry Pollard. 1963. Ordinary Differential Equations: An Elementary Textbook for Students in Mathematics, Engineering, and the Sciences.
04 Oct 2016   Contributor(s):: Brian Winkel
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,...

2006LeMasurier, Michelle  Nonstandard Topics for Student Presentations in Differential Equations
29 Aug 2015   Contributor(s):: Brian Winkel
LeMasurier, Michelle. 2006. Nonstandard Topics for Student Presentations in Differential Equations. PRIMUS. 16(4): 349357.See https://www.tandfonline.com/doi/abs/10.1080/10511970608984157 .This is an amazing paper in which the author offers 33 presentation topics with full...

2011Decker, Robert  The Mathlet Toolkit: Creating Dynamic Applets for Differential Equations and Dynamical Systems
10 Aug 2015   Contributor(s):: Robert James 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...

2011Zhao, D. I.  Differential Equation Models for Systems Biology: A Survey. Computational Analysis and Modeling
24 Jun 2015   Contributor(s):: D. I. Zhao
Zhao, D. I. 2011. Differential Equation Models for Systems Biology: A Survey. Computational Analysis and Modeling, Lousiana Tech University, Ruston LA USA. 30 pp.See http://www.advancedcomputing.cn/sys_bio_review.pdf . Accessed 22 June 2015.Abstract: In this paper,...