5 videos in "Vector Fields, Line / Surface Integrals, Conservative Fields, Flux, and Gradient Fields"
Lecture 21: Gradient fields and potential functions
Lecture 21: Gradient fields and potential functions
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Part of video series Calculus 3 Course acquired through MIT OpenCourseWare
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.
Learn about gradient fields and potential functions, how they are related, and why they are useful.
- Problem Set - A problem set with some problems from this lecture.
- Lecture Notes - Lecture Notes from this lesson.
- Transcript of Lesson - Written transcript from this lesson.
- 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?
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.
