MATH351, Fall 2007
St. Lawrence University
Prof. Sam Vandervelde
Problem Set 1
(Due Thursday, 9/5)
Please read all of the rst chapter of our text. Its a very entertaining and informative
introduction to number theory.
Textbook exercises (from An Introduct

MATH351, Fall 2007
St. Lawrence University
Prof. Sam Vandervelde
Problem Set 9
(Due Friday, 11/30)
In the interest of making the problem sets somewhat coherent, I wil postpone problems
involving the Euclidean algorithm until next week. Also, as advertised

MATH351, Fall 2007
St. Lawrence University
Prof. Sam Vandervelde
Problem Set 8
(Due Friday, 11/16)
Well be forging our own trail for a while longer, so there are no textbook problems assigned
this week. You should rely on your class notes for the time bei

MATH351, Fall 2007
St. Lawrence University
Prof. Sam Vandervelde
Problem Set 7
(Due Friday, 11/2)
The material from class parallels the content of Chapter 8 in our text. However, we are
focusing on a particular imaginary quadratic eld Q(i) and its ring of

MATH351, Fall 2007
St. Lawrence University
Prof. Sam Vandervelde
Problem Set 6
(Due Friday, 10/26)
You can read through Section 3.7, most of which will be familiar by now. (You can skim over
or omit paragraphs which we did not discuss or which we proved i

MATH351, Fall 2007
St. Lawrence University
Prof. Sam Vandervelde
Problem Set 5
(Due Thursday, 10/18)
You can read through sections 3.5 and 3.6 in our text for background, if desired. Take a look at
the proof that (mn) = (m)(n) just to see another approach

MATH351, Fall 2007
St. Lawrence University
Prof. Sam Vandervelde
Problem Set 4
(Due Thursday, 9/27)
To begin, take a look at the second half of section 3.3, from the top of p. 71 to the bottom
of p. 74. This provides a more complete discussion of the Chin

MATH351, Fall 2007
St. Lawrence University
Prof. Sam Vandervelde
Problem Set 3
(Due Thursday, 9/20)
No reading this week, although you may be interested in the discussion on page 63, which goes
a long ways towards explaining the speed limit trick presente

MATH351, Fall 2007
St. Lawrence University
Prof. Sam Vandervelde
Problem Set 2
(Due Thursday, 9/13)
A
Recall that this homework assignment should be prepared using L TEX and placed in your
folder within our Number Theory folder on the T drive by 2:20 on T

MATH351, Fall 2007
St. Lawrence University
Prof. Sam Vandervelde
Problem Set 10
(Preliminary version)
(Due Friday, 12/7)
Were back to the book this week. Its good to have nally made it to chapter two before the
end of the semester.
Textbook exercises (fro