Introduction to 3c 16 9 Part 6
Welcome to our comprehensive guide on 3c 16 9 Part 6. We begin to look at an informal argument (courtesy of a great book: Div, grad, curl and all that by h.m. schey) for why the two ...
3c 16 9 Part 6 Comprehensive Overview
We finish deriving the formula for surface area of a parametrized surface. Finding the tangent plane to various types of surfaces. We finish our explanation of Gauss's law, showing why it's ok to treat the boundary of our region as a 2-
Parametrizing surfaces that are graphs of of functions of x and y or r and theta. We also look at 3 different options for working with ...
Summary & Highlights for 3c 16 9 Part 6
- We start deriving the formula for surface area of a parametric surface.
- We start to calculate the surface area of a sphere.
- Introducing the notion of a parametrized surface; parametrizing the unit sphere in terms of theta and phi.
- We state the Divergence Theorem and see how it can simplify problems when a boundary surface comes in lots of pieces.
- A second example of finding the tangent plane to a parametrized surface.
In summary, understanding 3c 16 9 Part 6 gives us a better perspective.