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MATHEMATICS 241 FALL 2010 FINAL EXAM
(Bruzzo, Donagi)
December 17, 2010, 9 am
Problems 1 through 10 are “multiple choice”. No partial credit will be given.
Problems 11 through 16 are “partial credit”. Full credit will be obtained with the
correct answer with some motivation. Wrong answers with evidence of some work
done will obtain partial credit.
Each multiple choice problem will count 3 points, and each partial credit problem
up to 5.
To answer the multiple choice problems, circle the ENTIRE statement you deem
correct in the problem concerned.
No books, tables, notes, calculators, computers, phones or electronic equipment
allowed. One 11
×
8
1
2
inch sheet handwritten both sides allowed.
YOUR NAME (print please):
YOUR PENN ID NUMBER:
YOUR SIGNATURE:
YOUR INSTRUCTOR’S NAME (CIRCLE):
Bruzzo
Donagi
Don’t write below this line. This table is for grading purposes only
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View Full Document MULTIPLE CHOICE
1.
Consider the complex number
z
=
e
w
ln
i
, where
w
is an unspeciﬁed complex
number. If we want the value of
z
to lie on the unit circle in the complex plane
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This note was uploaded on 04/01/2012 for the course HIST 241 taught by Professor Zhu during the Spring '12 term at UPenn.
 Spring '12
 zhu

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