Created on: August 6, 2010

Website Address: https://library.curriki.org/oer/Partial-derivatives-48228

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)

- Introduction to Limits
- Limit Examples (part 1)
- Limit Examples (part 2)
- Limit Examples (part3)
- Limit Examples w/ brain malfunction on first prob (part 4)
- Squeeze Theorem
- Proof: lim (sin x)/x
- More Limits
- Epsilon Delta Limit Definition 1
- Epsilon Delta Limit Definition 2

Curl, Divergence, Gradient

This video extends the notion of derivatives to three dimensions: partial derivatives.

Curl, Divergence, Gradient

This video gives an intuitive feeling for partial differentiation.

This video introduces the notion of the gradient of a function and gives a physical interpretation.

This video introduces scalar fields and generates the gradient of one.

This video introduces the divergence of a vector field and applies to to some functions.

This video continues providing an intuitive understanding of divergence.

This video provides a more complicated example of a vector field and its divergence.

This video introduces the notion of the curl of a vector field and provides some intuition of how it works.

This video computes the curl of some vector fields.

This video calculates the curl of a more interesting vector field.