Download - CHAPTER 1—Limits and Their Properties
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CHAPTER 1—Limits and Their Properties
1.1—A Preview of Calculus1.2—Finding Limits Graphically and Numerically1.3—Evaluating Limits Analytically1.4—Continuity and One-Sided Limits1.5—Infinite Limits
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1.1—A Preview of Calculus http://hmco.tdlc.com/public/calc7esample/calc7emain.htmlCh.11.1
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What IS calculus, and how does it relate to pre-calculus?
What is the “tangent line problem”? What is the “area problem”?
Essential Questions
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Mathematics of change (look at table on the bottom of the page)
What is Calculus?
Pre-Calculus
Limit Process Calculus
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The Tangent Line Problem
http://hmco.tdlc.com/public/calc7esample/calc7emain.html
Ch.11.1The Tangent Line Problem
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The Area Problem
http://hmco.tdlc.com/public/calc7esample/calc7emain.html
Ch.11.1The Area Problem
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Practice Problems
http://hmco.tdlc.com/public/calc7esample/calc7emain.html
Ch.11.1Section Exercises
1,3,11
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1.2—Finding Limits Graphically and Numericallyhttp://hmco.tdlc.com/public/calc7esample/calc7emain.html
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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?
Essential Questions
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An Introduction to Limits
http://hmco.tdlc.com/public/calc7esample/calc7emain.htmlCh.11.2
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Limits that Fail to Exist
http://hmco.tdlc.com/public/calc7esample/calc7emain.html
Ch.11.2Limits that Fail to Exist
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The Formal Definition of the Limit
http://hmco.tdlc.com/public/calc7esample/calc7emain.html
Ch.11.2The Formal Definition of a Limit
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Practice Problems4,7-9,12,1623,35,3844-46
http://hmco.tdlc.com/public/calc7esample/calc7emain.html
Ch.11.2Section Exercises