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Calculus

Chapter 1: 1.0a_Introduction

Chapter 2: Limits
2.1 Introduction   2.1a - Intro to Limits
  2.1b - Intro to Limits
2.2 A Graphical Look at Limits   2.2a - A Graphical Look at Limits
  2.2b - One Sided Limits
  2.2c - Limits with Piecewise Functions
  2.2d - Piecewise Functions on the TI-83
  2.2e - Example
  2.2f - Example
  2.2g - Infinite Limits
  2.2h - Examples with Infinite Limits
  2.2i - Limits as x Approaches Infinity
  2.2j - Limits as x Approaches Infinity
  2.2k - Practice Problems 1 - 2
  2.2l - Practice Problems 3 - 4
  2.2m - Practice Problems 5 - 7
2.3 Infinite Limits   2.3a - Rational Functions - Vertical Asymptotes
  2.3b - Rational Functions - Horizontal Asymptotes
2.4 The Limit Theorems   2.4a - The Limit Theorems
  2.4b - The Limit Theorems
2.5 Evaluating Limits   2.5a - Evaluating Limits
  2.5b - Evaluating Limits from Tables
  2.5c - Evaluating Limits from Tables
  2.5d - Limits for Rational Functions
  2.5e - Limits for Rational Functions
  2.5f - Using Conjugates to Simplify
  2.5g - Additional Examples
  2.5h - A Non-existent Limit
  2.5i - Practice Problems 1 - 2
  2.5j - Practice Problems 3 - 5
  2.5k - Practice Problems 6 - 7
2.6 Continuity   2.6a - Continuity
  2.6b - Continuity
  2.6c - Continuity of Piecewise Functions
  2.6d - Continuity of Piecewise Functions
  2.6e - Some Interesting Discontinuous Functions
  2.6f - Practice Problems 1 - 3
  2.6g - Practice Problems 4 - 5
2.7 The Intermediate Value Theorem   2.7a - The Intermediate Value Theorem
  2.7b - Intermediate Value Theorem Examples
  2.7c - Some Comments on the theorem
  2.7d - Intermediate Value Theorem Examples
  2.7e - Intermediate Value Theorem Examples

Chapter 3: Derivatives
3.1 Derivatives Graphically   3.01a - Derivatives Introduction
  3.01b - Graphical Derivative Examples
  3.01c - More Graphical Derivative Examples
  3.01d - Six Graphical Derivative Examples
3.2 The Derivative at a Point   3.02a - The Derivative at a Point
  3.02b - Derivative at a point - Example
  3.02c - Examples - Derivative at a Point
  3.02d - Difference Quotient Practice Problems
  3.02e - Difference Quotient Practice Problems
3.3 The Derived Function   3.03a - The Derived Function
  3.03b - Example of a Derivative
  3.03c - Derivative Example 2
  3.03d - Derivative Example 3
  3.03e - Derivatives - The Simple Cases
  3.03f - Derivative Example 6
  3.03g - Derivative Example 7
  3.03h - Derivative Example 8
  3.03i - The Power Rule for Derivatives
  3.03j - The Power Rule and the Derivative of a Sum
  3.03k - Derivative Theory and Examples
3.4 Numerical Derivatives   3.04a - Numerical Derivatives
  3.04b - Numerical Derivatives
  3.04c - Numerical Derivatives
3.5 Tangent Lines and Linear Approximation   3.05a - Tangent Lines
  3.05b - Tangent Lines
  3.05c - Linear Approximation
  3.05d - Linear Approximation
3.6 Continuity   3.06a - Differentiability and Continuity
  3.06b - Differentiability and Continuity Examples
  3.06c - Differentaibility and Continuity Examples
  3.06p6 - Practice Problem 6
3.7 Chain Rule, Product Rule, Quotient Rule   3.07a - The Chain Rule
  3.07b - The Chain Rule
  3.07c - Chain Rule Examples
  3.07d - Chain Rule Examples
  3.07e - The Product Rule
  3.07f - Proof of the Product Rule
  3.07g - Product Rule Examples 9, 10, 11
  3.07h - Product Rule Examples 12 - 17
  3.07i - The Quotient Rule
  3.07j - Quotient Rule Examples
  3.07k - Quotient Rule Examples
  3.07l - Quotient Rule Examples
  3.07m - Quotient Rule Example
  3.07x - Quotient Rule Example
  3.07x2 - Derivative Example
3.8 Derivatives of Trig Functions   3.08a - Derivative of the Sine Function
  3.08b - Derivative of the Cosine Function
  3.08c - Derivatives of other Trig Functions
  3.08d - Trig Derivative Example
  3.08e - Trig Derivative Examples
3.1 Implicit Differentitation   Calculus 3.10a - Implicit Differentiation
  3.10b - Implicit Differentiation Examples
  3.10c - Implicit Differentiation Examples
  3.10d - Implicit Differentiation Examples

Chapter 4: Applications of Derivatives
4.1 The Extreme Value Theorem

Chapter 5: Integration
5.1


Total videos indexed: 909

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