Exploring 3c 15 2 Part 8
Let's dive into the details surrounding 3c 15 2 Part 8.
- Change of variables for triple integrals.
- An example of a triple integral in spherical coordinates.
- Introduction to spherical coordinates.
- Statement of Stoke's theorem and discussion of what it means for a boundary curve to be oriented positively with respect to a ...
- We begin discussing integration in spherical coordinates.
In-Depth Information on 3c 15 2 Part 8
Properties of double integrals. We derive the formulas for converting between rectangular, cylindrical, and spherical coordinates. An example using Stokes' theorem when the boundary curve is piecewise smooth. Setting up an iterated triple integral/s to find the same volume in all 3 coordinate systems.
We find the volume of the unit sphere by doing our very first triple integral in spherical coordinates!
That wraps up our extensive overview of 3c 15 2 Part 8.