Math 471

Theory of Numbers

Fall 2012

** Course News:**

Monitor this space for important course news, such as...

Sep. 20, 2012: MIDTERM DATES ARE THURSDAY OCT 11 [Note change!] & THURSDAY NOV 8. The exams are in-class.

Sample Exam 1 has been posted; it is also HW5, due on Oct. 11 prior to start of exam.

Note that we do NOT have class on Tuesday Oct. 9, because on that Tuesday, we pretend Tuesdays are Mondays.

Oct 9: We have a room for our Review Session! Lederle 219, Wed Oct 10, 4:00-5:00 pm.

December 10: We have a room for the Final Exam Review Session! Lederle 219, Tues. December 11, 3:00-5:00.

And don't forget the fabulous *Final Exam* itself will take place on
Wednesday December 12, bright and early 8-10 am, in Lederle A201 (Lowrise).

**Meeting times: ** Tuesday and Thursday, 1:00-2:15, in Lederle
202.

**Instructor: **
Dr. Farshid Hajir

**Office: **Lederle 1623C

**Phone: **545-6025

**Email: ** hajir atsymbol math.umass.edu

**Office Hours**:
Current office hours are Tuesday 11-12 , and Wednesday 2-3, subject to change.
You are always welcome to set up an appointment by sending me an
e-mail or calling me on the phone.

**Text: **
* A Friendly Introduction to Number Theory* by Joe Silverman,
Pearson, Edition: 4th, Year Published: 2012, Price: 105.00 USD.
Yes, it's somewhat pricey, but the quality of the book is very high.
I will assign a certain amount of reading and homework from this text.
If you want a cheap standard book on number theory, you can considering buying
*Fundamentals of Number Theory* by
William J. LeVeque,
Dover Publications,
ISBN 0-486-68906-9 (paperback)
$9.95.

Finally, It is out of print, but if you can find a copy, the book by
Dan Flath *"Introduction to Number Theory"* (Wiley, 1988) ISBN
047160836X is a helpful resource.
Additionally, I may post my
own course notes to the course website. [If you are
assigning probabilities to the previous statement, you may also
consider that cows could one day possibly fly.]

**Moodle Bulletin Board:** A virtual M471 discussion may be set up
via the Campus Moodle resource. Stay tuned for details. Please use
this service responsibly. ** (Assuming I actually set it up, I will
monitor it semi-regularly, but if you want to direct a question
specifically at me, the best way to reach me is during office hours or
by e-mail.**

**Homework:** Homework will be posted on The
Homework Page and collected every Tuesday at the beginning of
lecture. Late homework will not be accepted and the lowest homework
grade will be dropped. **Be sure to read and follow the homework
rules.**

**Attendance: ** Attendance is required during lectures.
I consider
attendance AND participation important ingredients for your success in
the course. Frequent absences will be reflected in your
grade.

**Quizzes:** I might give an occasional 10-15 minute quiz in class.
Each of these will count as one homework assignment. ** There will be
no make-up quizzes**.

**Exams:** There will be two midterms and one final exam.
The midterms will take place during regular class time on
**Thursday October 4 and Thursday November 8**. The final will be on
a date to be determined during the regular final-exam period.
** Make-up Exam Policy:** If you have a legitimate (e.g. multiple
exams at the same exact time, medical problems, emergency absences,
religious observances) scheduling conflict with any of the exams, it
is your responsibility to notify me of the conflict as soon as you
become aware of it. The final decision regarding allowing a make-up
exam is mine, subject to University regulations, of course. Please
note that previously arranged travel plans are **not** a valid
reason to be given a make-up exam.

** Computers:** Number theory is an inherently computational
subject and we will undoubtedly have some use for machine calculations over the course of
the semester. When the time comes, you will probably be able to get away
with Maple or Mathematica if you're used to those packages. In fact,
however, there is a far better option out there: Pari/GP. Pari/GP has
two main advantages: 1) it is specifically designed for use in number theory;
and 2) it is available at a very reasonable price: free. We'll deal with
this when the time comes, but if you're curious, everything you ever wanted
to know about Pari/GP can be learned at
The PARI homepage.

**Extra Credit:** Some extra credit problems will occasionally be
included in the homework assignments, or given during class. The number of points for each
problem will vary, as will the difficulty of the problem. The student
with the most points at the end of the semester wins a fabulous prize.
You may hand in Extra Credit solutions at any time throughout the
term, until the last class meeting.

**Grading:**

homework, quizzes, participation - 30%

2 midterms - 20% each

Final exam - 30%

A |
≥ 93% |

A- |
≥ 90% and < 90% |

B+ |
≥ 86% and < 90% |

B |
≥ 82% and < 86% |

B- |
≥ 78% and < 82% |

C+ |
≥74% and < 78% |

C |
≥ 70% and < 74% |

C- |
≥65% and < 70% |

D |
≥ 60% and < 65% |

F |
< 60% |

Additional topics as time permits.