MA 556 -- Introduction to the Theory of Numbers

SYLLABUS

Instructor: Dr. Peter Dragnev

Meeting Time: MTWR 5:30-7:15 p.m. -- KT G47

Office: KT 290, tel. 481-6382, e-mail: dragnevp@ipfw.edu

Office Hours: MTWR 2:30-3:00 p.m. and 5:00-5:30 p.m.

Book: Elementary Number Theory, 5th ed. by David Burton

Course Description: I shall cover chapters 1-7, and parts of 9 and 10. The main content of the course is devoted to divisibility, congruences, Diofantine equations, number-theoretic functions, perfect numbers, as well as some applications to cryptography and random number generators.

Grading: There will be two tests (25%), and daily homework (50 %).

 No make up tests will be given, unless a proper excuse is provided. Enclosed is the tentative teaching schedule.

MONDAY

TUESDAY

WEDNESDAY

THURSDAY

FRIDAY

June 27

1.1, 1.2

June 28

2.1, 2.2

June 29

2.2, 2.3

June 30

3.1, 3.2

July 1

July 4

Holiday

July 5

3.2, 3.3

July 6

4.2, 4.3

July 7

4.4

July 8

July 11

5.2, 5.3

July 12

5.3, 5.4

July 13

Review

July 14

Test 1

July 15

July 18

6.1, 6.2

July 19

6.2, 6.3

July 20

6.4, 7.2

July 21

7.2, 7.3

July 22

Last day to withdraw

July 25

7.4, 7.5

July 26

7.5, 9.1

July 27

9.2, 9.3

July 28

10.2, 10.3

July 29

Aug 1

10.3, 10.4

Aug 2

11.2

Aug 3

Review

Aug 4

Test 2

Aug 5