Created on: August 6, 2010

Website Address: https://library.curriki.org/oer/Optimization-Problems

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

- Calculus: Derivatives 4: The Chain Rule
- Calculus: Derivatives 5
- Calculus: Derivatives 6
- Derivatives (part 7)
- Derivatives (part 8)
- Derivatives (part 9)

- 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

word problems

This video begins a study of optimization by considering a simple optimization problem.

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This video solves an interesting problem of optimizing the figures cut from a piece of wire.

This video solves a more complicated problem involving optimizing a construction for cost.

This video uses the chain rule to address a rate of change problem involving a cone filling up.

This video derives the equation of a line tangent to a curve.

A simpler rate-of-change problem involving ripple emanating from a point on a lake.

This video presents the classic rate-of-change problem involving a ladder moving away from a wall.

This video presents the important Mean Value Theorem, with applications.