2413 (Calculus 1)

Philip Taylor, Jul 4, 2017

A notebook for students in Dr. Taylor's Calc I class.

Table of Contents

  1. Limits
    1. 2413 1.2/1.3 Limits Exploration
    2. 2413 1.2 Example 1
    3. 1.2 Example 2
    4. 2413 1.2/3 Example 9
    5. 2413 1.4/1.5 Engage-Find Asymptotes
    6. 2413 1.4 IVT demo
    7. 2413 HW 1.3 #22
  2. Derivatives
    1. 2413 2.1 The Story Exploration
    2. 2.1 def of deriv explain

1.

Limits

Unit 1 - Limits

  • 1. 2413 1.2/1.3 Limits Exploration
  • 2. 2413 1.2 Example 1
  • 3. 1.2 Example 2
  • 4. 2413 1.2/3 Example 9
  • 5. 2413 1.4/1.5 Engage-Find Asymptotes
  • 6. 2413 1.4 IVT demo
  • 7. 2413 HW 1.3 #22

1.1.

2413 1.2/1.3 Limits Exploration

Exploring Limits
Copy the graph of the piecewise-defined function f(x) in your notebook and respond to these prompts.
[list=1][*]Write the formulas for the red and blue functions.[/*][*](Approximate) What is f(5)? f(10)? f(8)?[/*][*]What does y get close to as x gets close to 8, coming from the left?[/*][*]What about from the right?[/*][*]Best guess: What is the limit of f(x) as x approaches 8?[/*][/list]
Click "Next", make another quick sketch, and respond to these prompts with the new function, g(x).
[list=1][*]Write the formulas for the red and blue functions.[/*][*](Approximate) What is g(2)? g(10)? g(8)?[/*][*]What does y get close to as x gets close to 8, coming from the left?[/*][*]What about from the right?[/*][*]Best guess: What is the limit of g(x) as x approaches 8?[/*][/list]
– Philip Taylor

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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2.

Derivatives

  • 1. 2413 2.1 The Story Exploration
  • 2. 2.1 def of deriv explain

2.1.

2413 2.1 The Story Exploration

– Philip Taylor

2.2.

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Information