Lecture 27: Vector fields in 3D, surface integrals, and flux
6013 views
|
1
rating
Part of video series
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:
- Surfaces and Flux in Space applet - Java applet about finding flux of surfaces in 3-dimensional space
- Lecture Notes - Lecture Notes from this lesson.
- Transcript of Lesson - Written transcript from this lesson.
- Problem Set - A problem set with some problems from this lecture.
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
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.
