Lecture 27: Vector fields in 3D, surface integrals, and flux

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Taught by OCW
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Lesson Description:

Learn what vector fields look and act like in 3 dimensions, how to find surface integrals, and 3-dimensional flux.

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 do vector fields look and act like in three dimensions?
  • How do you find flux and surface integrals in 3D?
  • What is the formula for flux in three dimensions?
  • What is the surface integral of Fn dS?
  • How do you find the flux of F = <x, y, z> through a sphere of radius a centered at the origin?
  • What is the geometric interpretation of 3D flux and surface integrals?
  • Staff Review

    • Currently 4.0/5 Stars.
    Vector fields, flux, and surface integrals are all discussed in three dimensions in the lecture. The 2-dimensional counterparts of these ideas are reviewed and then moved to 3 dimensions. Some good, concrete examples are shown and the geometric interpretation is explained.