MATH 406 -- Introduction to Number Theory

Section 0201 -- Fall, 2006

Instructor: Thomas Haines
Office: 4403 Mathematics Bldg
Phone: (301) 405-5103

MATH 406 is an introduction to number theory, covering the basic theoretical groundwork related mainly to factorization and congruences. Applications include data encryption schemes such as RSA.

Here is the syllabus for the course, including exam dates, and grading policy. It also includes a list of supplemental texts we will use duing the course.

READ THIS: The honor pledge; academic integrity; what constitutes cheating

Class Times: TuTh: 12:30-1:45 pm.
Room: Math 0105.
Homework: Homework will be assigned once a week. Selected problems from each assignment will appear on the weekly quiz. You are encouraged to work with your classmates on the homework, but remember that your personal understanding will be tested on quizzes and exams. CHECK THIS SPACE WEEKLY for assignments!

ANNOUNCEMENTS: 09/07/06: We have been given a grader! Therefore I will probably slightly adjust the course modus operandi (possibly collecting some homework and giving fewer quizzes). Watch this space for updates....

HOMEWORK 1 (Due 09/07/06): 1.1 #3,4,12,16,25,27-30. Challenge problem: #19.

HOMEWORK 2 (Due 09/14/06): 1.2 #10; 1.3 #4,8,22, 24; 1.4 #7,8,14, 39, 40; 1.5 #5,6,31,34.

HOMEWORK 3 (Due 09/21/06): 3.1 #4,6-8,13; 3.2 #1,3; 3.3 #2(c,f), 11, 17, 22; 3.4 #3,5. Challenge problem: 3.4 #9-10.

HOMEWORK 4 (Due 09/28/06): 3.1 #5, 14; 3.5 #7,10,11, 32, 41,46, 60; 3.6 #4,; 3.7 # 1, 6.

HOMEWORK 5 (Due 10/05/06): 3.7 #11a, 13, 15a, Challenge problem: #24; 4.1 #3-5,7-8, 16,24,27,28; 4.2 #1,9. NOTE: EXAM I will cover material up to and including this homework assignment.

HOMEWORK 6 (Due 10/19/06): 4.3 #4,9,13; 5.1 #1-4,13,19; 6.1 #3,4,11,22,15, 33.

HOMEWORK 7 (Due 10/26/06): 4.3 #34; 6.3 #3,4,6-9; 7.1 #2,14,17,34.

HOMEWORK 8 (Due 11/02/06): 7.1 #22; 7.2 #3,4,11; 7.3 #3,7,14; 7.4 #1,2,10,11,17; Challenge problem: #23.

HOMEWORK 9 (Due 11/09/06): 8.1 #4-6,15,16; 8.3 #1,3-5.

HOMEWORK 10 (Due 11/16/06): 8.4 #1,3,4,5,7,8. NOTE: Exam II will cover the material from Homeworks 6-10.

HOMEWORK 11 (Due 11/28/06): 9.1 #2,3,6,8-11. Challenge: #19; 9.2 # ??? (NOTE: Of course next Thursday is Thanksgiving -- no class -- so you won't have a quiz that day. Your quiz on this material will be on TUESDAY, Nov. 28.

HOMEWORK 12 (Due 12/05/06): 9.2 #7,8,10-12; Challenge: #16; 9.4 # 1-3; 11.1 #5,6,8,12.

HOMEWORK 13 (Due 12/12/06): 11.1 #7,14,27; 11.2 #1,3-6, Challenge: #13.

EXTRA PROBLEMS : 11.1 #11,13,21; 11.2 #7,8; 13.3 #1-4.