Mathematics 55
Professor K. A. Ribet
Final Examination
December 17, 1997
International House
12:30–3:30 PM
Your Name:
TA:
Please check that you have all 10 pages of this exam booklet. Write your name on
each
page. Before beginning your work, look over the whole exam to spot problems that you
can do quickly. The rules are the same as for previous exams:
You need not simplify your answers unless you are specifically asked to do so. Answers
may include factorials and binomial coefficients
C
(
n, r
). It is essential to write legibly
and
show your work
. If your work is absent or illegible, and your answer is not perfectly
correct, then no partial credit can be awarded. Completely correct answers which are
given without justification may receive little or no credit.
During this exam, you are not allowed to use calculators or consult your notes or books.
Problem
Maximum
Your Score
1
10
2
10
3
9
4
8
5
9
6
9
7
10
8
8
9
9
Total
82
At the conclusion of the exam, hand in this exam paper to your TA.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 STRAIN
 Math, TA, Natural number, K. A. Ribet

Click to edit the document details