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  1. JMM 2020 - Contributed Paper Session Modeling-First Inquiry-Based Course Activities

    20 Jan 2020

    Joint Mathematics Meetings 2020 MAA Contributed Paper SessionModeling-First Inquiry-Based Course ActivitiesWe offer up the material from the Contributed Paper session. The actual files are found in Sopporting Docs.Wednesday January 15, 2020, 8:00 a.m.-10:55 a.m.MAA Contributed Paper...

  2. JMM 2020 MAA Minicourse #10 Wall to Wall Modeling Scenarios for Differential Equations

    20 Jan 2020 | Presentations

    Joint Mathematics Meetings 2020 MAA Minicourse #10Wall to Wall Modeling Scenarios for Differential EquationsWe offer up the materials from the Minicourse. The actual files are found in Supporting Docs.Part A – Thursday, 16 January 2020, 9:00 AM - 11:00 AM Room 704, Meeting Room...

  3. JMM 2020 AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses

    20 Jan 2020 | Presentations

    We present the titles and abstracts as well as complete presentation for talks given at AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses, Room 108, Meeting Room Level, Colorado Convention Center, held at JMM 2020, 18 January 2020, Denver CO...

  4. 3-071-T-WirelessTelegraphy

    20 Dec 2019 | Modeling Scenarios

    This project has three parts, the first part to be done at home, the last two parts in class. In the home part we recall how to solve second order, linear, differential equations with constant coefficients and simple source functions. In the first in-class part we analyze the solutions found at...

  5. 9-020-T-HeatDiffusion

    14 Oct 2019 | Modeling Scenarios

    This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

  6. 9-020-S-HeatDiffusion

    14 Oct 2019 | Modeling Scenarios

    This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

  7. 1-084-T-GoingViral

    31 Aug 2019 | Modeling Scenarios

    Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom).  Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.  Finally, students solve the...

  8. 1-084-S-GoingViral

    31 Aug 2019 | Modeling Scenarios

    Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom).  Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.  Finally, students solve the...

  9. 3-064-T-GearTrain

    31 Aug 2019 | Modeling Scenarios

    In this scenario students will model an input-output mechanical system of gears with a second order, non-homogeneous, ordinary differential equation with constant coefficients. The model incorporates friction and moments of inertia of the gear train components. Students should have some...

  10. 3-150-T-ItsABlastFurnace

    13 Aug 2019 | Modeling Scenarios

    This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.The heat flow is assumed to be steady-state, so that only an elementary ordinary differential equation (ODE) is needed, and...

  11. 3-150-S-ItsABlastFurnace

    13 Aug 2019 | Modeling Scenarios

    This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.The heat flow is assumed to be steady-state, so that only an elementary ordinary differential equation (ODE) is needed, and...

  12. 1-076-T-ClimateBifurcation

    08 Aug 2019 | Modeling Scenarios

    In this paper we present (for educational purposes) simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations from the present Earth climate to an ice age or a ``Venus type of climate.'' The models are accompanied by Matlab...

  13. 3-067-T-RLCSeriesCircuit

    28 Apr 2019 | Modeling Scenarios

    In this validation-oriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical model (using Multisim).

  14. SCUDEM and COMAP MCM/ICM Talk at University of Nebraska - Lincoln

    22 Apr 2019 | Competitions-SCUDEM

    Elizabeth Carlson, holder of NSF Graduate Research Fellowship at the University of Nebraska - Lincoln, Lincoln NE USA, gave a talk in the spring 2018 to the mathematics club at her school on Math Modeling Competitions. Enjoy!

  15. 5090-T-SolidParticleErosion

    27 Mar 2019 | Modeling Scenarios

    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...

  16. 5-005-Text-T-StiffDifferentialEquations

    05 Mar 2019 | Technique Narratives

    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...

  17. 5-005-Text-S-StiffDifferentialEquations

    05 Mar 2019 | Technique Narratives

    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...

  18. AMS Special Session on Using Modeling to Motivate the Study of Differential Equations - JMM 2019, Baltimore MD USA

    20 Jan 2019 | Presentations

    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...

  19. 2015-Yrogovchenko-ModelingAlcoholConsumption - PowerPoint

    16 Dec 2018 | Potential Scenario Ideas

    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...

  20. 3-009-T-BallDropInWater

    16 Dec 2018 | Modeling Scenarios

    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.