Introduction to 3c 16 3 Part 1
Exploring 3c 16 3 Part 1 reveals several interesting facts. We look at several work integrals along 2 different paths connecting the same starting and ending points.
3c 16 3 Part 1 Comprehensive Overview
Electric fields and inverse square fields. The fundamental theorem of line integrals, stated in general and proved for smooth curves in 2-space. The del operator and curl and divergence of a vector field in
We state the Divergence Theorem and see how it can simplify problems when a boundary surface comes in lots of pieces.
Summary & Highlights for 3c 16 3 Part 1
- We introduce vector fields with the help of Sniffles the Bear.
- Introducing the notion of a parametrized surface; parametrizing the unit sphere in terms of theta and phi.
- We define line integrals.
- Another example of verifying that a vector field is conservative and finding a potential function.
- Stating and proving Green's theorem by embedding things in
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