-
2009-ReidKing-PendulumMotion
08 Sep 2017
Reid, Thomas F. and Stephen C. King. 2009. Pendulum Motion and Differential Equations. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 19(2): 205-217,Abstract: A common example of real-world motion that can be modeled by a differential equation, and one easily...
-
2008-HELM-Applications Of Differential Equations Chapter19
08 Sep 2017
HELM - University of Southampton. 2008. Applications of Differential Equations. Chapter 19.https://nile.northampton.ac.uk/bbcswebdav/courses/CFAP02R/Guest%20access%20files/HELM_new/pages/workbooks_1_50_jan2008/Workbook19/19_1_modling_with_diffrntl_eqns.pdf . Accessed 5 September 2017.The...
-
2009-Martinez-Luaces-Modelling Applications Inverse Modelling
07 Sep 2017
Martinez-Luaces, Victor. 2009. Modelling, applications and inverse modelling: innovations in differential equations courses. Seventh Southern Right Delta Conference. pp. 159-170.Abstract: Differential equations and Laplace transform are widely used to solve problems concerned with...
-
2009-EricksonEtAl-Computational Differential Equations Text
07 Sep 2017
Eriksson, K., D. Estep, P. Hansho, C. Johnson. 2009. Computational Differential Equations. 521 pp. http://www.thebookishblog.com/computational-differential-equations.pdf . Accessed 7 September 2017.From the Preface, “This book, together with the companion volumes Introduction to...
-
2015-Koss-Differential Equations In Art and Film
07 Sep 2017
Koss, L. 2015. Differential equations in literature, poetry and film. Journal of Mathematics and the Arts. 9(1-2): 1-16.Abstract: This paper investigates how differential equations models have been used to study works in literature, poetry and film. We present applications to works by...
-
2016-deBoer-Modeling Population Dynamics Text
06 Sep 2017
De Boer, Rob J. 2016 Modeling Population Dynamics: A Graphical Approach. http://tbb.bio.uu.nl/rdb/books/mpd.pdf . Accessed 6 September 2017. 193 pp.From the Preface,“This book is an introduction into modeling population dynamics in ecology. Because there are several good...
-
RamsayEtAl-ParameterEstimationInODEs
06 Sep 2017
Ramsay, J. O., G. Hooker, D. Campbell and J. Cao. Parameter Estimation for Differential Equations: A Generalized Smoothing Approach. http://faculty.bscb.cornell.edu/~hooker/ODE_Estimation.pdf . Accessed 6 September 2017.Summary: We propose a new method for estimating parameters in...
-
1998Claus-McGahan-Modeling Projects In DE Course
05 Sep 2017
Claus-McGahan, Elly. 1998. Modeling Projets in a Differential Equations Course. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 8(2): 137-149Abstract: Much has been said about the benefits of using projects in teaching the calculus sequence. Here we dis cuss...
-
1-115-S-ModelingWithFirstOrderODEs
04 Sep 2017 | Modeling Scenarios
Several models using first order differential equations are offered with some questions on formulating a differential equations model
-
1-115-T-ModelingWithFirstOrderODEs
04 Sep 2017 | Modeling Scenarios
Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.
-
2010-KijekKijek-Modeling Innovation Diffusion
02 Sep 2017 | Potential Scenario Ideas
Kijek, A. and T. Kijek. 20110. Modelling of Innovation Diffusion. Operations Research and Decisions. 3-4:53-68.Abstract: Since the publication of the Bass model in 1969, research on the modelling of the diffusion of innovation resulted in a vast body of scientific literature consisting of...
-
1-064-T-TorricelliBox
14 Aug 2017 | Modeling Scenarios
The time it takes a column of water to empty and the time it takes the same volume of column of water with a box (various sizes) submerged in the column of water are compared through modeling with Torricelli's Law.
-
Examples and Experiences in Teaching a Modeling-Based Differential Equations Course MathFest 2017
23 Jul 2017 | Presentations
This is the set of materials offered at a Workshop given at the MAA MathFest 2017, Chicago IL, 28 July 2017, Friday, 1:00 – 2:20 p.m., Mobley Room, Chicago Hilton.The session was organized and presented by Rosemary Farley, Manhattan College; Therese Shelton, Southwestern...
-
A Particular Solutions Formula For Inhomogeneous Arbitrary Order Linear Ordinary Differential Equations
24 May 2017 | Articles and Publications
A particular solution for any nonhomogeneous linear second, third, and fourth order ordinary differential equation is generally determined. Applying what was determined thus; and following by example a particular solution formula for arbitrary order is obtained. Finding a particular solutions to...
-
Let's Do It: Using Modeling in the Classroom
14 May 2017 | Articles and Publications
Winkel, B. J. 2017. Let's Do It: Using Modeling in the Classroom. MAA FOCUS. 37(2): 26-27.In this article the author, Brian Winkel, Director of SIMIODE, attempts to make the case for modeling in the differential equations classroom by giving both rationale and examples.The entire...
-
5-080-T-SpaceFlightRecolonize
06 May 2017 | Modeling Scenarios
This project is a combination of differential equations, multi-variable calculus, and vector calculus with the use of technology to model colonization of a new planet. Students will solve a system of second order differential equations to model a planets orbit and also solve a differential...
-
3-017-T-StackedCoffeeFiltersFalling
11 Mar 2017 | Modeling Scenarios
Data on free falling 2, 4, 6, and 8 stacked coffee filters is offered for analysis. Students first form a model using a resistance term proportional to velocity, velocity squared, or velocity to some general power. Parameters need to be estimated and models compared.
-
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...
-
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...
-
Lewis, Andrew D. 2017. Introduction to Differential Equations for Smart Kids
05 Mar 2017 | Free Online Texts
Author: Lewis, Andrew D.Date of Publication: 23 January 2017Title: Introduction to Differential Equations for Smart KidsLLLocation: https://mast.queensu.ca/~andrew/teaching/pdf/237-notes.pdf . Accessed 18 June 2019.Andrew D. Lewis, andrew@mast.queensu.ca, is a...