Math 406: Elementary Number Theory
Prerequisites:
Although its content is essentially independent
of the calculus, MATH 406 carries a formal prerequisite of MATH 141. This
is to insure a certain degree of mathematical sophistication and manipulative
facility. Although the writing of proofs will be an important part of this
course, it is not assumed that you have written proofs in any previous
course.
Required Text
Rosen: Elementary Number Theory, fourth edition.
Exam Schedule
First Exam: Wednesday October
8
Second Exam: Wednesday
November 5
Third Exam: Wednesday
December 3
Final Exam: Thursday
December 18 8:00-10:00
Class Schedule
The class meets according to the following schedule:
Monday, Wednesday, and
Friday, 9:00-9:50
Math
Building 0103
Provisional Syllabus
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Week
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Monday
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Wednesday
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Friday
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September 3-5
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1.1-2
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1.3-4
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September 8-12
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3.1-2
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3.2-3
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3.3
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September 15-19
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3.4
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3.5-6
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3.6
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September 22-26
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4.1
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4.2
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4.3
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September 29-October 3
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4.4
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4.5
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6.1
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October 6-10
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REVIEW
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EXAM I
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6.3
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October 13-17
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7.1
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7.2
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7.3
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October 20-24
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7.4
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9.1
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9.2
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October 27-31
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9.3
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9.4
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9.6
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November 3-7
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REVIEW
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EXAM II
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11.1
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November 10-14
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11.2
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11.3
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12.1
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November 17-21
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12.2
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12.3
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12.4
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November 24-26
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13.1
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13.2
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RECESS
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Dec 1-5
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REVIEW
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EXAM III
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13.3
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December 8-12
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13.4
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REVIEW
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REVIEW
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Math 406: Homework
Schedule
All problems are from Rosen's text. Homework
will be collected at each class meeting and returned at the next meeting.
All solutions, whether they are computations or proofs, should be in complete
sentences, although most of your sentences will be partly symbolic and
some, such as equations, may be entirely so. You will find many models,
both in the text and in class. Once the due date for an assignment has
passed, that date on the homework schedule will become a live link to a
solution page in pdf format that can be downloaded and read on any browser
that is linked to Adobe Acrobat Reader. No assignment will be accepted
from any student once the corresponding solution page has been posted.
If you know that you will need to miss a particular class meeting for any
reason you can either email the relevant homework to me or hand it in early.
This applies, in particular, if you have a University excuse in connection
with an athletic event.
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Section
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Problems
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Due Date
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1.2
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4,12
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1.4
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10,14
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3.1
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4,6,12
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September 10
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3.2
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8,16,22
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September 12
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3.3
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6,8
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3.4
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6,8,10,14,36
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3.5
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2,4
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September 22
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3.6
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2,6,8,14
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4.1
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16
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| 4.1 |
22,28 |
September 26 |
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4.2
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2,6,8,16
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4.3
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6,8,10,22
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4.4
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2,4,10
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4.5
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2,6,8
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6.1
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10,12,20,28
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6.3
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4,6,10
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7.1
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2,4,8,16
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7.2
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2,4,10,12
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7.3
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2,4,8,26
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7.4
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2,6,16
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9.1
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2,4,6,12
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9.2
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2,6,12
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9.3
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4,10,16
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9.4
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2,4,10
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9.6
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2,6,4
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11.1
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2,6,20,48
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11.2
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2,4,6
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11.3
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2,4
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12.1
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4,6
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12.2
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2,4
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12.3
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2,4
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12.4
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2,4,6
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13.1
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2,4,6
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November 26
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13.2
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4,10,12
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13.3
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2,4,6
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13.4
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2,4,6
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Grading Policy:
Final Grades will be computed as follows: The three
hour exam scores will be equally weighted, the aggregate homework score
will have the weight of one and one half hour exams, and the final will
have the weight of two hour exams. A numerical composite average and an
estimated letter grade to date will be returned with each hour exam.
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Disclaimer: This page was last updated on
17 August 2003. While every attempt will be made to keep it current, it
is possible that some of the information is missing or obsolete.
Feel free to send
comments
or
queries to:
Paul Green
Department of Mathematics
University of Maryland
College Park, MD 20742