265L22 - LESSON 22 Surface Integrals of Vector Fields READ...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
LESSON 22 Surface Integrals of Vector Fields READ: Section 17.5 NOTES: In this section we will be talking about surface integrals RR S g ( x,y,z ) dS of vector fields. We will restrict ourselves to a certain type of surface: ones that have two sides. You might think that all surfaces have two sides, but that is not the case. The M¨obius strip described on page 980 of the text is a surface with only one side. For a two sided surface, it is possible to paint the surface with say red and blue paint in such a way that we cannot get from the red part to the blue part without crossing a boundary curve of the surface. Such a painting of the M¨obius strip is not possible. You might want to make a M¨obius strip for yourself to be really convinced of that surprising fact. As mentioned before, for a line integral, there was a nice geometric interpretation. The value of the line integral gave the area of a curvy fence. There is no such nice geometric interpretation for surface integrals. However, there is a physical interpretation that give us a little grasp of reality and meaningfulness for the
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/24/2011 for the course MATH 265 taught by Professor Jerrymetzger during the Winter '11 term at North Dakota.

Page1 / 2

265L22 - LESSON 22 Surface Integrals of Vector Fields READ...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online