Lecture 21: Gradient fields and potential functions

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Taught by OCW
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4955 views | 1 rating
Lesson Description:

Learn about gradient fields and potential functions, how they are related, and why they are useful.

Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 21, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.

Additional Resources:
Questions answered by this video:
  • What is a gradient field?
  • What are potential functions?
  • What are the properties of a gradient field?
  • How do you find a potential function?
  • What is the definition of the curl of a field F?
  • What does curl measure in a velocity field?
  • How do you find the torque exerted on an object in a field using curl?
  • Staff Review

    • Currently 4.0/5 Stars.
    This video takes off from where the last left off, talking more about the properties of gradient fields, and certain things that we know are true if we have a gradient field. These turn out to be very convenient. Curl and potential functions are also explained in gradient fields.