
2016deBoerModeling 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...

RamsayEtAlParameterEstimationInODEs
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...

1998ClausMcGahanModeling Projects In DE Course
05 Sep 2017
ClausMcGahan, Elly. 1998. Modeling Projets in a Differential Equations Course. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 8(2): 137149Abstract: Much has been said about the benefits of using projects in teaching the calculus sequence. Here we dis cuss...

1091TSlopefields
04 Sep 2017  Modeling Scenarios  Contributor(s): Karen Bliss
Students will gain experience writing differential equations to model various population scenarios, they will create slope fields to view the solution curves using software, and they will discuss the behavior of the solution curves. In this activity, students are introduced to the concepts of...

1115SModelingWithFirstOrderODEs
04 Sep 2017  Modeling Scenarios
Several models using first order differential equations are offered with some questions on formulating a differential equations model

1115TModelingWithFirstOrderODEs
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.

2010KijekKijekModeling Innovation Diffusion
02 Sep 2017  Potential Scenario Ideas
Kijek, A. and T. Kijek. 20110. Modelling of Innovation Diffusion. Operations Research and Decisions. 34:5368.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...

1064TTorricelliBox
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 ModelingBased 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): 2627.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...

5080TSpaceFlightRecolonize
06 May 2017  Modeling Scenarios
This project is a combination of differential equations, multivariable 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...

1073TWaterExitBottle
17 Apr 2017  Modeling Scenarios  Contributor(s): Karen Bliss
We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow out of a cylindrical container. Source: Farmer, T and F. Gass. 1992. Physical demonstration in the calculus classroom. The College...

3040TFirstPassageTime
07 Apr 2017  Modeling Scenarios  Contributor(s): Karen Bliss
We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time with several applications.

3002TModelsMotivatingSecondOrder
30 Mar 2017  Modeling Scenarios  Contributor(s): Karen Bliss
We introduce several basic, but substantial, approaches to modeling the motion of a spring mass system using a standard second order, linear, constant coefficient differential equation obtained from Newton's Second Law of Motion and a Free Body Diagram. We do this using a set of data...

Informed Conjecturing in a Modeling Context Differential Equations
29 Mar 2017  Articles and Publications  Contributor(s): Karen Bliss
We examine two differential equations, (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their solution. We follow with...

3017TStackedCoffeeFiltersFalling
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 TwentyFirst 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/237notes.pdf . Accessed 18 June 2019.Andrew D. Lewis, andrew@mast.queensu.ca, is a...