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Prof. Girardi
Math 554
Fall 2009
09.29.09
Exam 1
MARK BOX
problem
points
1
20
2
20
3
15
4a
5
4b or 4c
10
5a
5
5b or 5c
10
6a
5
6b or 6c
10
%
100
NAME:
INSTRUCTIONS
:
(1) For the ﬁllintheblank/box problems, write your directly on this exam paper.
(2) For the proof part of the
proof problems
, write a
neat formal
proof on (the front side only
of) the lined paper provided. Start each new problem on a new page. Do NOT recopy
the statement of the problem but on each page, in the upper right hand cornor, put the
problem number.
(3) When ﬁnished, hand in this exam paper and your proofs on your lined paper. Please put
all in order and staple. Do your scratch work on the scratch paper provided and do not
hand it in.
(4) The
mark box
indicates the problems along with their points. This test is copied 2sided.
Check that your copy of the exam has all of the problems.
(5) You may
not
use an electronic device, a calculator, books, personal notes.
(6) During this exam, do not leave your seat. If you have a question, raise your hand. When
you ﬁnish: turn your exam over, put your pencil down, and raise your hand.
(7) This exam covers (from
Introduction to Real Analysis
by William F. Trench, Free Edition 1):
Chapter 1 .
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 Fall '10
 Girardi
 Math

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