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 five problems, each worth
20
points, for a total of
100
points. Answers without justification
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).
(2) Determine the truth value of each of these statement if the
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 Spring '08
 STRAIN
 Math, TA, Natural number, Prime number, positive integer

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