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Calculus III (Notes) / Surface Integrals   [Notes] [Practice Problems] [Assignment Problems]

Calculus III - Notes

Internet Explorer 10 & 11 Users : If you have been using Internet Explorer 10 or 11 to view the site (or did at one point anyway) then you know that the equations were not properly placed on the pages unless you put IE into "Compatibility Mode". I believe that I have partially figured out a way around that and have implimented the "fix" in the Algebra notes (not the practice/assignment problems yet). It's not perfect as some equations that are "inline" (i.e. equations that are in sentences as opposed to those on lines by themselves) are now shifted upwards or downwards slightly but it is better than it was.

If you wish to test this out please make sure the IE is not in Compatibility Mode and give it a test run in the Algebra notes. If you run into any problems please let me know. If things go well over the next week or two then I'll push the fix the full site. I'll also continue to see if I can get the inline equations to display properly.
Line Integrals Previous Chapter  
Curl and Divergence Previous Section   Next Section Parametric Surfaces

 Surface Integrals

In the previous chapter we looked at evaluating integrals of functions or vector fields where the points came from a curve in two- or three-dimensional space.  We now want to extend this idea and integrate functions and vector fields where the points come from a surface in three-dimensional space.  These integrals are called surface integrals.


Here is a list of the topics covered in this chapter.


Parametric Surfaces  In this section we will take a look at the basics of representing a surface with parametric equations.  We will also take a look at a couple of applications.


Surface Integrals  Here we will introduce the topic of surface integrals.  We will be working with surface integrals of functions in this section.


Surface Integrals of Vector Fields  We will look at surface integrals of vector fields in this section.


Stokes’ Theorem  We will look at Stokes’ Theorem in this section.


Divergence Theorem  Here we will take a look at the Divergence Theorem.

Curl and Divergence Previous Section   Next Section Parametric Surfaces
Line Integrals Previous Chapter  

Calculus III (Notes) / Surface Integrals    [Notes] [Practice Problems] [Assignment Problems]

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