chapter 1—limits and their properties
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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 - PowerPoint PPT PresentationTRANSCRIPT
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
1.1—A Preview of Calculus http://hmco.tdlc.com/public/calc7esample/calc7emain.htmlCh.11.1
What IS calculus, and how does it relate to pre-calculus?
What is the “tangent line problem”? What is the “area problem”?
Essential Questions
Mathematics of change (look at table on the bottom of the page)
What is Calculus?
Pre-Calculus
Limit Process Calculus
The Tangent Line Problem
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Ch.11.1The Tangent Line Problem
The Area Problem
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Ch.11.1The Area Problem
Practice Problems
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Ch.11.1Section Exercises
1,3,11
1.2—Finding Limits Graphically and Numericallyhttp://hmco.tdlc.com/public/calc7esample/calc7emain.html
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
An Introduction to Limits
http://hmco.tdlc.com/public/calc7esample/calc7emain.htmlCh.11.2
Limits that Fail to Exist
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Ch.11.2Limits that Fail to Exist
The Formal Definition of the Limit
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Ch.11.2The Formal Definition of a Limit
Practice Problems4,7-9,12,1623,35,3844-46
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Ch.11.2Section Exercises