Understanding 3c 16 9 Part 3
Exploring 3c 16 9 Part 3 reveals several interesting facts. We start an example in which we calculate flux 2 ways: using the divergence theorem to do a triple integral and using the ...
Key Takeaways about 3c 16 9 Part 3
- We state the Divergence Theorem and see how it can simplify problems when a boundary surface comes in lots of pieces.
- A second example involving the mass of a wire and a piecewise smooth curve.
- We continue with Gauss's law, finishing the proof, pending a more rigorous explanation (in the next video) of why it works to have ...
- We finish the problem started in the last 2 videos.
- We finish the informal argument started in the previous video, explaining why the two definitions of divergence are, in fact, ...
Detailed Analysis of 3c 16 9 Part 3
A brief discussion of the vocabulary: conservative vector fields and potential functions and their relationship to the conservation of ... We finish the problem started in the last video. We finish our explanation of Gauss's law, showing why it's ok to treat the boundary of our region as a 2-
An example of the Divergence Theorem applied on a sphere.
Stay tuned for more updates related to 3c 16 9 Part 3.