Created on: August 6, 2010

Website Address: https://library.curriki.org/oer/Green-s-Theorem

TABLE OF CONTENTS

- Limits
- Derivatives
- The Chain Rule
- Derivatives of Special Functions
- Implicit Differentiation
- Minima and Maxima
- Optimization Problems
- Indefinite Integrals
- Definite Integrals
- Solids of Revolution
- Sequences and Series
- Polynomial Approximations
- Partial derivatives
- AP Calculus BC
- Partial Derivatives
- Double Integrals
- Line Integrals I
- Vectors
- Line Integrals II
- Green's Theorem
- L'Hospital's Rule

- Proof: d/dx(x^n)
- Proof: d/dx(sqrt(x))
- Proof: d/dx(ln x) = 1/x
- Proof: d/dx(e^x) = e^x
- Proofs of Derivatives of Ln(x) and e^x
- Calculus: Derivative of x^(x^x)
- Extreme Derivative Word Problem (advanced)

- Green's Theorem Proof Part 1
- Green's Theorem Proof (part 2)
- Green's Theorem Example 1
- Green's Theorem Example 2
- Introduction to Parametrizing a Surface with Two Parameters
- Determining a Position Vector-Valued Function for a Parametrization of Two Parameters
- Partial Derivatives of Vector-Valued Functions
- Introduction to the Surface Integral
- Example of calculating a surface integral part 1
- Example of calculating a surface integral part 2
- Example of calculating a surface integral part 3

Surface integrals

This video begins the proof of Green's Theorem.

This video completes the proof of Green's Theorem.

This video provides a simple example of the application of Green's Theorem.

This video provides a more complicated example of the use of Green's Theorem.

This video provides a introduction to parameterizing a surface that depends on two parameters.

This video uses a torus toi illustrate ways to parameterize a surface depending on 2 parameters.

This video introduces the notion of partial derivatives of a vector-valued function.

This video uses partial derivatives of vector-valued functions to introduce the concept of surface integrals.

This video explores an integral over the surface of a torus.

This video continues finding the surface integral over a torus.

This video completes the problem of finding the surface area of a torus.