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CALCULUS III
15MATH252006
Spring, 2008.
J. M. Osterburg,
Professor of Mathematical Sciences
University of Cincinnati
March 31, 2008
How to ﬁnd me
: 821D, Old Chemistry Bldg.:
(
513.556.4099
james.osterburg@uc.edu
Oﬃce hours
:
$
to
0
MW
1
and by appointment.
Text
:
Calculus: Early Transcendentals
, 1
st
ed., by Jon Rogawski. This book is being loaned to
you, but use it as if you owned it. In other words, write in it, highlight it, etc, but after the ﬁnal
in June, please return to me. For students taking Calculus IV do not sell
Contexts
, 3
rd
ed., by James Stewart, because you will use it again.
Course Goals
: Inﬁnite series are the main ideas of Calculus III.
*
A ﬁnite
series is anything of the form
p(x)
=
r
0
+
r
1
x
+
r
2
x
+
···
r
n
x
n
,
where
r
n
6=
0
.
In other words, ﬁnite series are polynomials.
*
In an important sense, an inﬁnite series is a polynomial of inﬁnite degree,
f(x)
=
r
0
+
r
1
x
+
r
2
x
+
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 Spring '08
 ningzhong
 Calculus

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