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2.1 | 2.2 | 2.3 | 2.4 | 2.5 | 2.6 | 2.7 | 2.8 | 2.9

Chapter 2 - Contents

Section 2.1 - The Tangent and Velocity Problems
Notes Topics
Section 2.1 Slides Tangent Line
  Slope of the Tangent Line
  Example
  Instantaneous Velocity
  Slope - Velocity Connection
  Slope Formula
Section 2.2 - The Limit of a Function
Notes Topics
Section 2.2 Informal Definition of the Limit
  Limit Pictures
  More Limit Pictures
  Vertical Asymptotes, Infinite Limits
  Vertical Asymptotes, Infinite Limits
  Example: Calculating Infinite Limits
  Examples: You Try It
Section 2.3 - Calculating Limits Using the Limit Laws
Notes Topics
Section 2.3 - Slides Limit Laws
  Useful Limit Facts
  Limit Examples
  Limit Examples (Cont.)
  The Squeeze Law
  Squeeze Law Example
Section 2.4 - The Precise Definition of a Limit
Notes Topics
Section 2.4 - Notes Precise Definition of a Limit
  Limit Practice
  Example
  Example (a Limit Proof)
Section 2.5 - Continuity
Notes Topics
Section 2.5 - Notes Definition of Continuity
  Picture Examples of Continuity and Discontinuity
  Continuity on an Interval
  Building Continuous Functions
  Examples of Continuous Functions
  Intermediate Value Theorem
  Example Using Intermediate Value Theorem
Section 2.6 - Limits at Infinity; Horizontal Asymptotes
Notes Topics
Section 2.6 - Notes Horizontal Asymptotes
  Examples of Horizontal Asymptotes
  More examples: Limits of Infinity
  More examples: Limits of Infinity
Section 2.7 - Tangents, Velocities, and Other Rates of Change
Notes Topics
Section 2.7 - Notes Slope Formula
  Slope, Velocity, Derivative
  Example 1: Calculating m from the Limit Definition
  Example 2: Calculating m from the Limit Definition
  Another Form For m
Section 2.8 - Derivatives
Notes Topics
Section 2.8 - Notes The Derivative
  Example: Derivative Calculation
Section 2.9 - The Derivative as a Function
Notes Topics
Section 2.9 - Notes The Derivative as a Function
  Differentiability Implies Continuity
  Pictures
  Relating Graphs of f and f

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