Syllabus, Analytic Geometry-Calculus 2, 3450:222-009, Spring 2008
Instructor: J. Alberto Montero
Office: CAS275
Office Hours: MWF 11:00 to 12:00
email: jm95@uakron.edu
Main math office: CAS200
Course Material
Textbook: Either Calculus, James Stewart, 6th

Review of series
Let us recall rst that, given a sequence {anhfzb the mth partial sum of {an} is
the sum
m
an +a2+ +am 2 2a".
n:1
We denote this partial sum by 3",; in other words
a=za
n:1
Note that {3",} is a new sequence, that depends on an, but that do

Very Small toolkit
Disclaimer: The fact that this toolkit is available in this test by no
means implies that a similar toolkit will be available in the nal
exanL
First comparison test for series: if we have two series 0 g a S b,H then
0 if 271)] an diverg

Here is a short review of numerical series, which you may nd helpful.
REVIEW OF NUMERICAL SERIES
SEQUENCES
A sequence is a list of real numbers. It is called convergent if it has a limit. An increasing
sequence has a limit when it has an upper bound.
SERI