MATH 4400 - Introduction to Number Theory

LECTURER: Hailong Dao (hdao@math.utah.edu)

Meeting time: M, W, F 9:40am-10:30pm (LCB 222)

Office Hours: M, W, F 12:00am-1:00pm (JWB 317)

Syllabus

Messages

Assignments

Messages

  1. Hello. Welcome to Math 4400 website. In the first message, I would like to point out a couple of interesting links. There is an archive of NT related site , and here is a page about prime numbers.

  2. You should read chapter 4 and I highly recommend the following link which is a very entertaining documentary about Fermat's Last Theorem.

  3. (09/17/07) The first midterm would be in-class this Friday(09/21). It covers Chapters 1 to 11. You are allowed to bring your calculator. Any potential conflict should be reported to me immediately.

  4. (10/05/07) The Monday October 15 class will be canceled (following your vote today). Since some of you also voted for a make-up class, I will have an OPTIONAL make-up class at some point.

  5. (10/05/07) Extra-credit projects: these will be short presentations, to be done during class time at the end of the semester. You can earn up to 10% of your final grade. There are a lot of possible topics, but you need to talk to me in advance about what you are going to do (during October).

  6. (10/17/07) The second midterm would be pushed to Monday 10/29 (instead of Monday 10/22) by popular demand.It will cover Chapter 11-21 (only Chinese Remainder Theorem for chapter 11).

  7. (11/30/07) I will hold extra class on Monday 12/10 to answer your questions before final. Details coming soon.









Assignments

  1. Chapter 1: 1.2, 1.3, Chapter 2: 2.2, 2.3, Extra Credit . If you don't have the book yet, here is a copy of the questions.

  2. Chapter 3: 3.2, 3.3, Chapter 5: 5.1, 5.3, 5.5, Chapter 6: 6.6

  3. 7.1,7.2,7.4,8.1,8.2

  4. 8.4, 8.5, 9.1, 9.2, 9.3, 10.1

  5. (09/19) No HW this week! You are welcome!

  6. (09/26) 11.2, 11.6, 11.7, 11.12, 12.2

  7. (10/04) 13.1, 13.3, 14.1, 15.1

  8. (10/17) 15.3, 16.3,17.2, 17.3, 17.4

  9. (10/25) 18.1, 18.2,19.1, 19.4, 21.2 (not to be graded).

  10. (10/31) 21.8, 21.9, 22.2, 22.3

  11. (11/08) 23.3, 24.1, 25.1, 25.2

  12. (11/29) 25.3,26.1,26.2, 27.1,30.1, 31.2, 31.4, 32.2, 35.4,35.8,39.1,40.1,40.5,41.1.41.3,41.9 (For Final practice, you are welcome to discuss these problems with me during office hours or the extra class time.)

 

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