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Math 55,
First Midterm Exam
Thursday, February 26, 8:10am–9:30am
This exam is closed book. You may not use any books, notes
or electronic devices. Please write your answers in a blue note
book. Write your name, the name of your TA and your section
time on the cover. There are Fve problems, each worth
20
points, for a total of
100
points. Answers without justiFcation
will not receive credit. You may look at your graded exam in
your discussion section on Monday, March 2.
(1) The value of the Euler
φ
function at a positive integer
n
is the number of positive integers less than or equal to
n
that are relatively prime to
n
. Compute the following four
values of this function:
φ
(36),
φ
(37),
φ
(81) and
φ
(1024).
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This note was uploaded on 10/10/2009 for the course MATH 55 taught by Professor Strain during the Spring '08 term at University of California, Berkeley.
 Spring '08
 STRAIN
 Math

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