Math 321

Math 321: Number Theory --- Fall 2018

To contact the instructor: j.rhodes@alaska.edu

Course syllabus: M321syl2018.pdf

Required Textbook :Number Theory and Its Applications, by K. Rosen, Addison-Wesley

Link to web resources: http://klein.math.okstate.edu/PARI/NumberTheoryandPARI/

Homework Assignments:

The dates below are when problems were assigned. Unless otherwise noted, problems are always due the following Tuesday Thursday (by vote of class on 9/18).

I encourage the use of LaTeX for writing your homework, following the template HWtemplate.tex.

Problems are from Rosen, unless otherwise stated.

8/28 §1.1 #2, 8, 11, 15, 30, 34
8/30 §1.2 #7, 8, 10, 11; §1.4 #42, 18, 28
9/4 §1.5 #15, 18, 26, 29, 33, 36-38, 42, 44
9/6 §2.1 #11, 12, 13; §2.2 # 22, 23; install Pari and play with it
9/11 §3.1 #3, 5, 6 ,7, 13 ,17, 18; §3.2 #2, 3
9/13 §3.3 #6, 24, 26, 30
9/18 DUE 9/27 §3.4 #1, 3, 14, 25, Explain why #25 leads to a way to find m, n with ma+nb=(a,b). §3.5 #9, 10, 12, 13, 43, 44
9/20 §3.6 #3, 17, 21, 24; §3.7 #1, 3, 10
9/25 §4.1 #4, 5, 7, 12, 13
9/27 §4.1 #14, 22, 27, 31, 33, 36; §4.2 #1, 5, 6, 9, 11, 15, 16
10/2 §4.3 #3, 5, 6, 7, 13, 23, 37
10/4 §4.4 #1, 4, 5, 9, 10; §4.6 #1a,c,e; §5.1 #1, 2, 4, 22
10/9 §5.5 #12, §6.1 # 3, 7, 9, 19, 21
10/11 none
10/16 Midterm Exam
10/18 §6.2 #1, 2, 5, 7, 12, 13, 16a; §6.3 #1abc, 3, 5, 7, 9, 14
10/23 §7.1 #1(no proof), 3, 5, 8, 15; Write out a 6x6 matrix equatuion expresing Moebius inversion for n=1...6
10/25 §7.2 #1adg, 2ad, 3, 4, 9, 10; §7.3 #3, 5, 7, 9
10/30 §7.4 #1, 10, 13, 14, 15, 17
11/1 §8.4 #1(don’t factor), 3, 4, 7, 11; §8.6 #7a; §9.1 #4, 5, 6def, 7, 9, 11
11/6 §9.1 #26, 27; §9.2 #3ace, 6, 9, 12, 16
11/8 §9.4 #1, 2, 3, 8; §8.6 #1, 5; §10.1 #3, 5a, 9, 15, 16
11/13 §10.2 #3, 7; §11.1 #1, 3, 5, 6, 7, 11, 12, 14
11/15 §11.2 #1ace, 2, 5, 7, 10, 11; §11.3 #1ace, 3, 4, 5, 9, 10 (due 11/29)
11/20 §13.1 #21, 24, 25
11/22 No class - Thanksgiving
11/27 §13.1 #3, 4, 5, 11
11/29 Take-home exam out
12/4 --
12/6 --
12/7 Take-home exam due 5pm
12/11 In- class Final Exam 8am