Introduction to 3c 15 9 Part 11
Let's dive into the details surrounding 3c 15 9 Part 11. One more example of a change of variables: #24 from your text.
3c 15 9 Part 11 Comprehensive Overview
Introduction to the notion of a change of variables, or "u-sub on steroids." Change of variables for triple integrals. We focus on finding a "nice" region and a transformation that sends that region to a "messy" one.
Another example of setting up iterated triple integrals in all 3 coordinate systems to describe the same volume.
Summary & Highlights for 3c 15 9 Part 11
- We do an example of an integral where we use a change of variables.
- Mapping a disk to an elliptic region.
- We look at how switching to polar can be viewed as a change of variables.
- We start to set up the Riemann sum that will lead to our integra.
- We finish setting up the Riemann sum that leads to our integral. Hooray!
That wraps up our extensive overview of 3c 15 9 Part 11.