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CHAPTER 1—Limits and Their Properties

CHAPTER 1—Limits and Their Properties. 1.1—A Preview of Calculus 1.2—Finding Limits Graphically and Numerically 1.3—Evaluating Limits Analytically 1.4—Continuity and One-Sided Limits 1.5—Infinite Limits. 1.1—A Preview of Calculus. http:// hmco.tdlc.com/public/calc7esample/calc7emain.html

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CHAPTER 1—Limits and Their Properties

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  1. CHAPTER 1—Limits and Their Properties 1.1—A Preview of Calculus 1.2—Finding Limits Graphically and Numerically 1.3—Evaluating Limits Analytically 1.4—Continuity and One-Sided Limits 1.5—Infinite Limits

  2. 1.1—A Preview of Calculus http://hmco.tdlc.com/public/calc7esample/calc7emain.html Ch.11.1

  3. Essential Questions What IS calculus, and how does it relate to pre-calculus? What is the “tangent line problem”? What is the “area problem”?

  4. What is Calculus? Pre-Calculus Limit Process Calculus Mathematics of change (look at table on the bottom of the page)

  5. The Tangent Line Problem http://hmco.tdlc.com/ public/calc7esample /calc7emain.html Ch.11.1The Tangent Line Problem

  6. The Area Problem http://hmco.tdlc.com/ public/calc7esample/ calc7emain.html Ch.11.1The Area Problem

  7. Practice Problems 1,3,11 http://hmco.tdlc.com/public /calc7esample/calc7emain.html Ch.11.1Section Exercises

  8. 1.2—Finding Limits Graphically and Numerically http://hmco.tdlc.com/public/calc7esample/calc7emain.html

  9. Essential Questions What do we mean when we talk about the “limit” of a function? How should you interpret the following? Compare and contrast the numerical and graphical approaches for finding the limit of a function. Under what circumstances would a limit fail to exist?

  10. An Introduction to Limits http://hmco.tdlc.com/public/calc7esample/calc7emain.html Ch.11.2

  11. Limits that Fail to Exist http://hmco.tdlc.com/ public/calc7esample/ calc7emain.html Ch.11.2Limits that Fail to Exist

  12. The Formal Definition of the Limit http://hmco.tdlc.com/ public/calc7esample/ calc7emain.html Ch.11.2The Formal Definition of a Limit

  13. Practice Problems 4, 7-9, 12,16 23,35,38 44-46 http://hmco.tdlc.com/public/ calc7esample/calc7emain.html Ch.11.2Section Exercises

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