Sinopsis
In this chapter we will start taking a more detailed look at three dimensional space (3-D space or ¡3 ). This is a very important topic in Calculus III since a good portion of Calculus III is done in three (or higher) dimensional space.
We will be looking at the equations of graphs in 3-D space as well as vector valued functions and how we do calculus with them. We will also be taking a look at a couple of new coordinate systems for 3-D space.
This is the only chapter that exists in two places in my notes. When I originally wrote these notes all of these topics were covered in Calculus II however, we have since moved several of them into Calculus III. So, rather than split the chapter up I have kept it in the Calculus II notes and also put a copy in the Calculus III notes. Many of the sections not covered in Calculus III will be used on occasion there anyway and so they serve as a quick reference for when we need them.
Content
- Three Dimensional Space
- Partial Derivatives
- Applications of Partial Derivatives
- Multiple Integrals
- Line Integrals
- Surface Integrals
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