Section 8.1 Introduction: The Taylor Polynomial
Approximation
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the Web Lecture for a Test of Your Understanding
objective
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to be able to
find the first few terms in a Taylor polynomial of a function
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to be able to
find the first few terms in a Taylor polynomial approximation of the solution
to a differential equation
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to be able to
find the first few terms in a Taylor polynomial approximation of an initial
value problem
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to be able to
measure the accuracy of a Taylor polynomial approximation (error)
key ideas and/or vocabulary
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Taylor series
Taylor polynomial of degree n centered at x0
solved problems - using key ideas
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determining Taylor polynomial approximations for
a given initial value problem, #1,3
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studying the error in Taylor polynomial approximations,
#9