Math 258 - Fall 2006
Introduction to Number Theory


Links:    Recent Announcements     Homework     Grade information

Instructor Keith Conrad
Email kconrad at math dot uconn dot edu. (When you send an email message, please identify yourself at the end.)
Office hours MSB  318; MW 1:30--2:30
Course info
Lecture MW 3:30--4:45, MSB 403
Midterm: Oct. 16 and Dec. 4 (both Mondays)
Final: Dec. 13 (Wed.) 6−8 in MSB 411 (not the usual classroom). The final exam schedule is here.
 
Text A Concrete Introduction to Higher Algebra, 2nd ed. (paperback), by Lindsay Childs. An errata list for the book is at the author's website here.
PARI Use this link to access William Stein's on-line PARI calculator.

A reference card for PARI can be downloaded here. (This was taken from the documentation link at the PARI web site maintained by Karim Belabas.) An online page describing the PARI commands is here. (Documentation for PARI is also available through a link above the output window at Stein's on-line PARI calculator.)


Number Theory Sites

A curious story.

The Prime Pages.

A current list of known Mersenne primes, ordered by the (prime) exponent. Click here to join GIMPS (the Great Internet Mersenne Prime Search).

A discussion of Euclid's algorithm. There are links to other items from number theory at the bottom of the page.

Biographies of Fermat, Euler, Gauss, Dirichlet, Galois, Chebyshev, and Eisenstein.

An interview with Jean-Pierre Serre, one of the most prominent number theorists of the 20-th century.

Course handouts (the time when they should be read will be indicated on the homeworks)


Recent Announcements

12/15: Course is over.


Syllabus: We plan to cover the following topics, most of which are related to chapter headings in the textbook. (In some cases, there will be handouts to supplement the textbook.)

Prerequisites: Math 213. In particular, you are expected to remember something about writing proofs, although the course itself will provide a lot of further practice.

Course grade:  This will be based on the following weighting: homework (25%), first midterm (20%), second midterm (20%), and final exam (35%).

Homework: Homework assignments will be posted on the bottom of this web page, and are due at the start of class for each due date. No late homeworks will be accepted. Exams:  There will be two midterms and a final.  

Attendance: Since you will be working in groups, your workmates can get frustrated if you regularly skip class and then cannot meaningfully contribute to the homework.

Course conduct: To respect everyone's right to a productive learning environment, please refrain from disruptive activities during class. This includes reading newspapers or magazines, and using pagers and cell phones. Set cell phones on vibrate mode only. If your cell phone receives a message, you can check it after class. Please turn off all other electronic gadgets before entering the classroom. On a positive note, do feel free to ask questions!

Academic integrity: Students are expected to avoid academic misconduct. Your integrity is not worth losing (and the course not worth failing) by falsely presenting yourself in any aspect of this course. For further information on academic integrity, see Part VI of the Student Code.



Due Week of Homework Assignment
1. Aug. 28
2. Sept. 4
3. Sept. 11


4. Sept. 18
5. Sept. 25


6. Oct. 2
7. Oct. 9



8. Oct. 16
9. Oct. 23


10. Oct. 30
11. Nov. 6


12. Nov. 13
13. Nov. 20 None (it's Thanksgiving).
14. Nov. 27


15. Dec. 4
Credit: I respectfully stole the code for much of this page from Glenn Tesler. Thanks, Glenn!