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====== Gradient ======

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===== In-class Content =====

  * QUIZ (10 min)
  * The Hillside (SGA - 20 min)
  * [[..:..:activities:vfact:vfactinggrad|Acting Out the Gradient]] (Kinesthetic Activity - 10 min)
  * [[..:..:activities:vfact:vfgradient|Visualizing Gradient]] (Maple/Mathematica - 15 min)
  * (Lecture - 15 min)
    * The gradient in different coordinate systems.
    * E is the gradient of the potential.
    * Finding the gradient of the potential due to a point charge at an arbitrary location using the dot product.
      * The gradient is a differential operator, so derivative rules (such as chain rules) apply
      * Remind students that the dot product can be foiled. 

===== Optional In-class content =====
  * [[..:..:activities:vfact:vfhillnav|Navigating a Hill]] (SGA)
  * Directional derivatives (lecture) (Optional)


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