
1005TextSNavigatingNumericalMethods
31 Mar 2019  Technique Narratives  Contributor(s):: Corban Harwood
This technique narrative guides a discoverybased approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of the forward Euler method and second order Taylor method. These methods are motivated by...

2019 Matthew Donahue MAA OklahomaArkansas Section Presentation  Tulsa's Next Top Model
31 Mar 2019  Presentations  Contributor(s):: Matthew Donahue
Matthew Donahue, of The University of Tulsa, gave a talk, "Tulsa's Next Top Model," at the 30 March 2019, Spring MAA OklahomaArkansas Section Meeting about hosting the forthcoming SCUDEM IV 2019 event on 9 November 2019 at his school. Several faculty asked about how the...

7011TextSCoupledSystemLaplace
31 Mar 2019  Technique Narratives  Contributor(s):: Mitaxi Mehta
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the differential equation formalism is difficult to find for coupled differential equations. Here we describe...

5090SSolidParticleErosion
27 Mar 2019  Modeling Scenarios  Contributor(s):: Rich Laverty
By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges material from a more ductile surface. Examination of the solution will yield a formula for the...

1109SEmployeeAttrition
25 Mar 2019  Modeling Scenarios  Contributor(s):: Lyle Clifford Smith
This scenario models the loss of employees and the employer's attempt to retain them through stock options. This is intended for introductory students and is paired well with exponential growth/decay material. We also introduce the 5% rule to sort possible factors into assumptions and...

5005TextSStiffDifferentialEquations
05 Mar 2019  Technique Narratives  Contributor(s):: Kurt Bryan
This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples.Stiffness is a property that a system of ODE's may possess that make it difficult to solve numerically with standard methods, and it is a...

1125SDiceyPopulations
04 Mar 2019  Modeling Scenarios  Contributor(s):: Brian Winkel
We offer students an opportunity to generate unique data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the parameters and try to explain how the simulation...

1077SRLMSimSeriesCircuit
03 Mar 2019  Modeling Scenarios  Contributor(s):: Virgil Ganescu
In this validationoriented setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using Multisim) of the circuit. This is compared...

1143SPopulationModelVariationsMATLAB
17 Feb 2019  Modeling Scenarios  Contributor(s):: Bill Skerbitz
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations. They will also work with other utilities...

AMS Special Session on Using Modeling to Motivate the Study of Differential Equations  JMM 2019, Baltimore MD USA
20 Jan 2019  Presentations  Contributor(s):: Brian Winkel
We offer the presentation for AMS Special Session on Using Modeling to Motivate the Study of Differential Equations, I in Room 336, BCC, 19 January 2019, 8:00 AM 11:50 AM held at the Joint Mathematics Meetings 2019, Baltimore MD USAAs we assemble them the presentations are...

Project NExT Panel Talk  Effective Use of Technology in Mathematics Classrooms
20 Jan 2019  Presentations  Contributor(s):: Brian Winkel
These are the slides of a talk given by Brian Winkel, Director, SIMIODE, as part of a panel presentation and discussion to Project NExT Session at Joint Mathematics Meetings 2019, Baltimore MD USA on Wednesday, 16 January 2019.

Opportunities for Community in Using Modeling to Teach Differential Equations at SIMIODE
20 Jan 2019  Presentations  Contributor(s):: Brian Winkel
These are the slides of a talk given by Brian Winkel, Director, SIMIODE, at the AMS Special Session on Using Modeling to Motivate the Study of Differential Equations held at the Joint Mathematics Meetings 2019, Baltimore MD USA

JMM 2019 SCUDEM for Students and Faculty Presentation
20 Jan 2019  Presentations  Contributor(s):: Brian Winkel
These are the slides for the talk by Dr. Brian Winkel, Director SIMIODE, entitled "Student Competition Using Differential Equations Modeling: SCUDEM for Students and Faculty," given Thursday, 17 January 2019 at the Joint Mathematics Meetings in Baltimore MD USA.

MAA Workshop JMM2019  Making it Happen: Modeling in Your Differential Equations Course
19 Jan 2019  Presentations  Contributor(s):: Brian Winkel
This is the complete set of slides for the MAA Workshop, Making it Happen: Modeling in Your Differential Equations Course, offered at the Joint Mathematics Meetings, 2019, Baltimore MD USA, Thursday, 17 January 2019.Workshop Leaders were:Audrey Malagon, Virginia Wesleyan UniversityRachel...

1003STextIntroNumericalMethods
10 Jan 2019  Technique Narratives  Contributor(s):: Brian Winkel
We ask students to develop two numerical methods for solving first order differential equations geometrically and to compute numeric solutions and compare them to the analytic solutions for a number of different step sizes.

SCUDEM III 2018  Author Commentary on Problems and Submissions
06 Jan 2019  General Resources  Contributor(s):: Kelly Black
The Fall 2018 SIMIODE Challenge Using Differential Equations Modeling (SCUDEM III 2018) featured three problems. Some observations of the work submitted by the student teams is given here. It is assumed that the reader is familiar with the three problems which are available on the SIMIODE website.

Opportunities for Community in Using Modeling to Teach Differential Equations at SIMIODE
03 Jan 2019  Presentations  Contributor(s):: Brian Winkel
SIMIODE – Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations (www.simiode.org) is an online and vibrant community of students and teachers interested in using modeling to motive the study of differential equations. SIMIODE, a noprofit...

2015YrogovchenkoModelingAlcoholConsumption  PowerPoint
16 Dec 2018  Potential Scenario Ideas  Contributor(s):: Brian Winkel
Article Review and AnnotationRagovchenko, Yuriy. 2015. Dull, dizzy, or dead: Models of Alcohol Consumption in Undergraduate Teaching. Presented in Brno NORWAY. 7 December 201. Power Point Presentation.This PowerPoint presentation has lots of basic data on laws, levels of alcohol, and...

3009SBallDropInWater
16 Dec 2018  Modeling Scenarios  Contributor(s):: Brian Winkel
We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.

1063SThreeHoleColumn
15 Dec 2018  Modeling Scenarios  Contributor(s):: Brian Winkel
We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.