M328K Number Theory

Time and location: MWF 10:00-11:00AM RLM 5.118

Instructor: Felipe Voloch (RLM 9.122, ph. 471-2674, e-mail: )

Office Hours: Tue 9:30-11:00AM.

Textbook: Elementary Number Theory and its applications, sixth edition, Kenneth H. Rosen, Addison-Wesley. We will cover most of chapters 3,4,6 and 9 and bits of a few other chapters. We will follow this syllabus.

Tests: Midterm on 3/20 in class covering sections 1.5, 3.1, 3.3, 3.4, 3.5 and 3.7. Final on Friday, May 10, 2:00-5:00 pm in RLM 5.118.
In registering for this class you are implicitly confirming your availability to take the final at the officially scheduled time.

Homework: I will assign homework on a weekly basis and it will be due at the beginning of the following week, unless otherwise stipulated. Selected problems (not all problems) will be graded. Homework must be neatly done and stapled if more than one page long. Late or sloppy homework will not be graded.

Grades: The two best grades from among the midterm, homework average and final will count 50% each for the course grade. Makeups will not be given.

Announcements

• No class on Wed, 2/6. No office hours, Tue 2/5.
• Review class on Mon, 3/18.
• There won't be any more homework assignments beyond the ten assignments below. I will drop the lowest homework score for the homework grade. In the last week of classes we will do problems in class and participation will count as extra credit for the homework grade.

Homework assignments

1. Section 1.3, problems 2, 4, 8, 24. Due 1/25.
2. Section 1.5, problems 2, 4, 16, 23. Due 2/1.
3. Section 2.1, problems 8,10 and section 3.3, problems 2, 10. Due 2/8.
4. Section 3.1, problems 2, 7, 8. Due 2/15.
5. Section 3.4 problems 2, 4, section 3.5 problems 2,6. Due 2/22.
6. Section 3.7 problems 2, 4, 10 and section 4.1 problems 2, 4. Due 3/1
7. Section 4.1 problems 8, 34 and section 4.2 problems 2, 8, 12. Due 3/29.
8. Section 4.3 problems 2, 10, section 5.1, problem 26 and section 6.1, problems 12, 28. Due 4/5.
9. Section 6.3 problems 4, 6, 10 and section 7.1, problems 6, 12, Due 4/12.
10. Section 9.1 problems 4, 6, 12, 18 and section 9.2, problem 8. Due 4/19.

Links

• I just had to share this one.

• New Mersenne prime found.

• Midterm with solutions.