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Calculus 2 Lesson 11.10 Taylor and Maclaurin Series |
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| The following topics
are the most important. Typical exercises from Calculus, 7th edition-Early
Transcendentals, by James Stewart, are
assigned at the end of each objective. In smaller print following the objective is a guide for the reading assignment in the form of page numbers in the text and notes regarding the reading about the objective. |
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| 1. | Create the Taylor or Maclaurin series for a given function. P765#5,9,13,15,17 | |
| P754 | The definition of a Taylor Series is found in box 6 on this page. | |
| P754 | The definition of a Maclaurin Series is found in box 7 on this page. | |
| P757 | The definition of the Maclaurin Series for ex is found in box 11 on this page. | |
| P762 | The definitions of several Maclaurin Series are found in the box at the top of this page. | |
| P754 | Examples 1 and 4 show the creation of a Maclaurin Series. | |
| P754 | Watch the video in the ebook in webassign. Example 1 | |
| P757 | Watch the video in the ebook in webassign. Example 2 | |
| P757 | Example 3 and 7 show the creation of a Taylor Series. | |
| 2. | From the Taylor or Maclaurin series for a function, form the series of a related function using the operations of section 12.9 above. P765#29,33,35,39 | |
| P758 | Examples 5 and 6 show the creation of Maclaurin and Taylor Series. | |
| 3. | Approximate values of the function using the Taylor or Maclaurin polynomial. P765#43 | |
| P760 | Example 8 shows the evaluation of a Maclaurin Series. | |
| 4. | Find
the power series for a function that can be written as a binomial, f(x) =
(1x)k , where k is any real number and
|x| < 1. P765#25-28 |
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| P761 | Know the definition in box 17 | |
| P760 | Read examples 8 and 9 | |
| P761 | Watch the video in the ebook in webassign. Example 9 | |
| Maple Assignment: See Maple Assignment | ||