Events: Details

Teaching differential equations in a modeling first approach and a supporting community at SIMIODE

Category: Workshop
Description:

                  Teaching differential equations in a modeling first approach and a supporting community at SIMIODE

                    Workshop at Spring 2016 MAA‐NJ Meeting, 16 April 2016 William Paterson University, Wayne, NJ

We engage participants in modeling activities to collect data which can then be modeled to motivate introduction and learning
of differential equations. These have successfully served hundreds of faculty (and their students) in a first-day activity for a
differential equations or modeling course. We will share other modeling opportunities and discuss how SIMIODE - Systemic Initiative for
Modeling Investigations and Opportunities with Differential Equations (www.simiode.org), a free community of teachers and students,
supports a modeling first approach to teaching and learning differential equations. Come join our merry band!

The presenter is Brian Winkel, Emeritus Professor of Mathematical Sciences United States Military Academy, West Point NY and Director SIMIODE.

                       Outline

Personal Introduction

SIMIODE Introduction (www.simiode.org)

Purpose, Method, Possibilities

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations is about teaching differential equations using modeling and technology upfront and throughout the learning process.

General Resources 

    SIMIODE Web page (www.simiode.org)

    SIMIODE YouTube Channel

Death and Immigration with m&ms

      Collecting data using m and ms and building a difference or differential equation model.

      Validating the model and estimating parameters.

Resources:   1-1-S-MandM-DeathImmigration and 1-101-S-ClassMandM-DeathAndImmigration

Torricelli’s Law - Modeling a falling column of water

Resources: 

   Video of falling column of water (cylinder) 

        1-15-S-Torricelli 

    Video of falling column of water (cone)  

        1-55-S-WaterFallingInCone  

        1-29-S-ConeToCubeFlow

Spread of Oil Slick

    Resource: 1-5-S-OilSlick

Sublimation of Carbon Dioxide (Dry Ice)

    Resource:  1-12-S-SublimationCarbonDioxide

LSD and Problem Solving

 Resource:  1-10-S-LSDAndProblemSolving

Other good “starters”        

3-19-S-ShuttlecockFall             3-20-S-ChordPathTime                            3-70-S-FallingInWater

               1-31-S-CoolIt                                        6-1-S-Epidemic         1-34-S-FishMixing

1-11-S-Kinetics       6-5-S-InsectColonyOpt         3-35-S-StadiumDesign

        1-7-S-AntTunnelBuilding          3-80-S-OneMassSpring                      4-23-S-MysteryCircuit

 

 

When: Saturday 16 April, 2016, 1:30 pm - 2:45 pm EDT
Where: New Jersey Section of the Mathematical Association of America, Spring Meeting, William Patterson University in Wayne, NJ
Website: http://sections.maa.org/newjersey/Main/index1.html
Tags:
  1. differential equations
  2. modeling
  3. workshop
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