Math 356: Theory of Numbers , Summer 2011
Mathematics is the queen of the sciences and number theory is the queen of mathematics.
Carl Friedrich Gauss
Text: Kenneth H. Rosen; Elementary Number Theory and Its Applications (sixth edition);
Addison Wesley,
2005 (744 pp.); (ISBN: 0321237072; ISBN13: 9780321237071)
Lecture: Lucy Stone Hall Room B110, MWTh 68:45 PM
New classroom effective 6/6/11: Hill Center 705 MWTh 68:45 PM
Office Hours: Mondays and Wednesdays 23 pm, Hill 305, and by appointment.
Course Syllabus We will cover chapters 1,3,4,6,7,9, and 11, with parts of 5, 8, 10, and 13.
Grading Scheme:
Class attendance: Students must attend a majority of class
meetings since the prior exam in order to take the next exam.
 20% Homework
 20% Midterm 1
 20% Midterm 2
 40% Final
Homework: There will be five written homework assignments,
each due at the beginning of lecture on Wednesdays. Late homework
will not be accepted. You may discuss your homework with other classmates, but the work you hand in must be your own.

Assignment #5  Turn in the problems in
parentheses. The other problems are suggested for practice.
 9.2 #1,3ace,(5),8,9,(10)
 9.3 #2,(4b),16
 9.4 #1,(2a),4,(8),18
 11.1 #1,(4),6,(8),11,27
 11.2 #1,(2),4,10,11,13

Assignment #4  Turn in the problems in
parentheses. The other problems are suggested for practice.
 7.1 #1,(2abcd),4,8,(12),15,(20),25,32
 7.2 #(1abcd),(2abcd),8,9,12,2024
 7.3 #1,3,5,18
 7.4 #(1abcd),10,(15),16,22,23,24,30,(31)
 9.1 #(1),2,5,6,(8),(10),11,12,18

Assignment #3  Turn in the problems in
parentheses. The other problems are suggested for practice.
 4.3 #1,4,(4b),(10),15,17,(18),(22),36
 6.1 #1,(3),5,9,(10),16,18,21,(24),31,33,42
 6.2 #1,(2),3,16ab
 6.3 #1,2,3,(7),8,11,(17),19

Assignment #2
(revised 6/10/11  Write up and turn in the problems in parentheses
(). Work through the other problems, but only those in parentheses
are to be turned in.)
 3.3 #26,9,(12),16,17,19,(24)
 3.4 #(2),(4),5
 3.5 #1,(6),7,(10),30,32,33,35,37,38,39,42,56,63
 3.5 #1721 describe a number system in which unique factorization fails. Try them if you're curious.
 3.7 2,4,10
 4.1 #2,(4),(6bcde),(14),30,32,33,35,36,41
 4.2 #(2abc),5,6,(9),10,12,(18)

Assignment #1
 1.3 #7,(8),13,(14),19,20,24,25,32
 1.4 #(4),5,8,10,14,(16),45
 1.5 #(5a),6,(7),(8),912 14,16,19 ,20 ,21 ,26 ,28
 3.1 #(3),5,(6),7,(8),12,(16c),24
 3.2 #7,10,12
Dates
 Homework: Due every Wednesday.
 Midterm 1: June 15th
 Midterm 2: June 29th
 Final Exam: July 7th
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