
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.

2008WillHansenExamplesOfODEsInPhysics
09 Dec 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel
WittHansen, Ole. 2008. Examples of the Differential equations of Physics. www.olewitthansen.dk. Contents1. The dependence of pressure with altitude.............................................................................. 12. Radioaktive chains of decay...

2013GonzalezParraArenas A Mathematical Model for Social Security Systems with Dynamical Systems
09 Dec 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel
GonzalezParra, Gilberto and Abraham J. Arenas. 2014. Ingeniería y Ciencia. 10(19): 111.Abstract: In this paper it is proposed a mathematical approach based on dynamic systems to study the effect of the increase in the Social Security normal retirement age on the worker and on the...

2017Bonin EtAl  Math Modeling Based on ODE for Vaccinology
09 Dec 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel
Bonin, C.R.B. Et al. 2017. Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology. Human Vaccines and Immunotherapy. 13(2): 484–489.Abtract: New contributions that aim to accelerate the development or to improve the efficacy and safety of...

2004PhoebusReilyTheParachuteProblem
09 Dec 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel
Phoebus, Ronald and Cole Reilly. 2004, Differential Equations and the Parachute Problem. Presentation 10 May 2004. https://mse.redwoods.edu/darnold/math55/DEproj/sp04/coleron/presentation.pdf .Abstract: The parachute problem is a classical first semester differential equations problem...

1987RodinMurthyComparativeEvalOfMathModelingBooks
09 Dec 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel
Murthy, D. N. P. and E. Y. Rodin. 1987. A comparative evaluation of books on mathematical modeling. Mathematical Modeling. 9(1): 1728.Abstract: In this paper we present a comparative evaluation of books on mathematical modelling that have appeared in the last 1.5 years.While dated this gives...