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Number of Paths

Keywords: E&M, Upper-Division, Vector Calculus, Surfaces, Conservative Fields, Non-Conservative Fields

Highlights of the activity

Small-Group Activity with Surfaces and Vector Field Maps

Reasons to spend class time on the activity

Gets at:

  • Sign of vector line integrals
  • Path-dependence/independence of integrals
  • Conservative Fields are the gradient of a scalar field (a corresponding surface)

Reflections

Instructor's Guide

vfsurfnumpathsguide.pdf

Student Handouts

vfsurfnumpathshand.pdf

vfsurfnumpathshand.zip

Authors: Elizabeth Gire, Aaron Wangberg, Robyn Wangberg, Paul Emigh
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