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  1. 5-005-Text-S-StiffDifferentialEquations

    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...

  2. 1-125-S-DiceyPopulations

    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...

  3. 1-077-S-RLMSimSeriesCircuit

    03 Mar 2019 | Modeling Scenarios | Contributor(s): Virgil Ganescu

    In this validation-oriented 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...

  4. 1-143-S-PopulationModelVariationsMATLAB

    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...

  5. 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...

  6. 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.

  7. 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

  8. 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.

  9. 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...

  10. 1-003-S-Text-IntroNumericalMethods

    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. 

  11. 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.

  12. 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 no-profit...

  13. 2015-Yrogovchenko-ModelingAlcoholConsumption - 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...

  14. 3-009-S-BallDropInWater

    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.

  15. 1-063-S-ThreeHoleColumn

    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.

  16. 2008-Will-Hansen-ExamplesOfODEsInPhysics

    09 Dec 2018 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Witt-Hansen, Ole. 2008. Examples of the Differential equations of Physics. www.olewitthansen.dk. Contents1. The dependence of pressure with altitude.............................................................................. 12. Radioaktive chains of decay...

  17. 2013-Gonzalez-Parra-Arenas- A Mathematical Model for Social Security Systems with Dynamical Systems

    09 Dec 2018 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Gonzalez-Parra, Gilberto and Abraham J. Arenas. 2014. Ingeniería y Ciencia. 10(19): 1-11.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...

  18. 2017-Bonin 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...

  19. 2004-PhoebusReily-TheParachuteProblem

    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...

  20. 1987-Rodin-Murthy-ComparativeEvalOfMathModelingBooks

    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): 17-28.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...