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The Valley

Keywords: Vector Calculus, Gradient, Master Formula

vcvalley.jpg

Highlights of the activity

  1. This small group activity is designed to reinforce the geometry of line integrals, and to set the stage for path independence.
  2. Students work in small groups to evaluate the elevation change along different paths.
  3. The whole class wrap-up discussion reinforces the importance of a “Use what you know!” strategy to evaluate line integrals, and emphasizes that different paths with the same endpoints must have the same elevation gain.

Reasons to spend class time on the activity

  • Practice with line intetgrals, setting the stage for path independence.
  • Nice followup to The Hill.

Reflections

Instructor's Guide

vcvalleyguide.pdf

Student Handouts

vcvalleyhand.pdf


Authors: Tevian Dray and Corinne Manogue
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