MWF 1-1:50 p.m.
Location: Olin 201
Office: Olin 203
Office Hours: Mon. and Wed. 3:15-4:30, Tuesday/Thursday 3:00-4:00, and by appointment
Number theory is (obviously) the
study of numbers, particularly the study of whole numbers and rational numbers.
In this course, we will study areas motivated by questions from ancient Greece,
especially primes and prime factorization, congruences,
Euler's function, quadratic reciprocity, primitive roots, solutions to
polynomial congruences (Chevalley's
theorem), Diophantine equations including the Pythagorean and Pell equations,
and Dirichlet's theorem on primes.
The goals of this course are
1.) To learn the history of the oldest branch of mathematics
2.) To learn to attack problems that only have integer or prime solutions
3.) To understand the properties of primes and congruences.
TEXTBOOK: Number Theory by George Andrews.
HOMEWORK: Homework will be assigned Thursday and due on the following Wednesday in class. It will be corrected, returned, and discussed/presented the following Tuesday. On some of the homeworks I will assign Challenge Problems; these are for extra credit. Homework will be accepted up to 48 hours late with a 30% penalty. No homework will be accepted after 48 hours.
All exams will be closed book. There will be two in-class midterm exams on
March 5 and April 23. Makeup exams will be given only in exceptional
circumstances (with valid documentation). The final is on May 14 from 2-5.
GRADING: The final grade breakdown is as follows:
. Homework - 25%
. Midterm Exams - 20% each
. Final - 35%
ABSENCES: You will start the semester with three "Wellness Days" at your disposal to use as you see fit. A Wellness Day is the equivalent of an excusable absence provided that you notify me in advance that you will be missing class, or in the case of an emergency situation, you notify me within a reasonable time, usually within twenty-four hours of the end of class. (You may notify me by e-mail or by voice-mail or in person. I will respond to e-mails within twenty-four hours. I will respond to voice-mails within twenty-four hours by sending an email. In the event that you do not receive a response from me, it is your responsibility to confirm that your notification was received.) Every absence beyond these three Wellness Days and any absence after which you fail to notify me that you will be missing class will lower your final course grade by three percentage points per absence. In the event that you will miss more than three days due to an extensive illness or another legitimate reason, you may see me to discuss how I will handle your special circumstances.
Students who will miss any class during the semester due to an official college event (such as an official athletic event or a non-athletic event approved by the Dean of the College) are required to speak to me as soon as possible and not less than one week before the first absence is scheduled to occur. Students are expected to bring me, in advance, a list of the dates of any anticipated absences; in the event of a change in the date of the event, you should notify me as soon as possible that you are unexpectedly missing class. Any student who expects to miss four or more days of class due to official college events must schedule an appointment with me to discuss this special circumstance.
Being more than five minutes late to a class counts as an absence.
MATHEMATICS DEPARTMENT WITHDRAWAL POLICY: The last day to drop or add this class is Friday, February 7. The last day to withdraw from this class is Friday, April 18. The official mathematics department withdrawal policy follows: if, at the time of request for withdrawal, your current cumulative grade is passing (D or better), you will be permitted to withdraw with a WP; if your current cumulative grade is failing, you will be assigned a grade of WF. Students who drop a course after the April 18 deadline will be assigned a WF. For information regarding the effect of the WF grade on the grade-point average, please refer to the Wofford College Catalogue available online at http://www.wofford.edu/registrar/printCatalog.aspx.
ACADEMIC DISHONESTY: I have zero tolerance for academic dishonesty. Cheating of any kind will be prosecuted to the fullest extent in accordance with university policy.
STATEMENT OF THE HONOR CODE: "Because Wofford is committed to the moral as well as the intellectual growth of its students and staff, and because academic freedom and responsibility demand that members of the community embrace principles of good conduct, the college emphasizes personal integrity as its highest value. Dishonesty is especially destructive of the academic process. The Honor Code requires students to pledge honesty in their academic work and it sets forth appropriate responses to those who violate that pledge."
(Webpage URL is webs.wofford.edu/wrighttj/439/)