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Topic: [ap-calculus] Taylor Series
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MAXINE BRIDGER

Posts: 63
Registered: 12/6/04
[ap-calculus] Taylor Series
Posted: Mar 26, 2002 5:03 PM
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Somehow, most of my students know that complex numbers can be written as
re^(i(theta)) and want to know why. They have seen e^(i(pi))=-1 on posters
and coffee mugs as well. I give them a quick introduction to Taylor series
to explain why e^ix=cos(x) + isin(x). They like it. Just recently I
showed my precalcus students the expansions for sin(x), cos(x) and e^(x)
and how these approximations work by graphing several terms of the
Taylor polynomials against the actual functions.

Sometimes it is just nice to play around with neat things.

Maxine Bridger



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