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The homework assignments are listed below.  Please turn in the problems in bold face, but do all the problems.  The dates are the due dates.  Solutions are available for some problems by clicking on the problem number.

• January 21

Page 50  5,6,7,9,17,19,24,26,31
Read Section 3.2
• January 26

Page 62  1-11,15,17,19,23,25
• January 28

Page 62 25
• January 31

Page 76 1,3,4(Don't use tables),5,6,7,9,10,13,14,25,26
• February 2

Prove that Q(2^(1/2)) is not isomorphic with Q[x].
• February 4

Page 88  1,2,4,5,5d,6,9,11,12,15,17
• February 9

Page 93  1-5,7,10,14
• February 11

Exam 1
• February 18

Page 98  1,2,3,5,9,10,12,13,16,20
• February 21

Page 98 13
• February 23

Page 104  1-11,12,13,15,16,19
• February 28

Page 113  1,2,3,4,5,6,7,8,14,18
• March 1

Page 117  1,2,3,5,7,8
• March 6

Is the set of rationals an ideal in the reals?
• March 8

Page 122  1,2,3,6,8
Page 128  1-4,5,7,11
• March 10

Exam 2
• March 22

Page 141  1,2,3,4,6,10
• March 24

Let R be a commutative ring with 1.  Let a be in R and let J be an ideal in R.  Prove the set {ra + j | r is in R and j is in J} is an ideal in R.
• March 27

Page 141  12,13,15,17,22,26,27  and Prove the ideal generated by the integers n and m is the ideal generated by the greatest common divisor of n and m.
• March 29

Complete your individual problem and put it on the board when you go to class.
Page 151 1,2,3,5,6,7,10
• April 10

Page 472 1,2,3,4,5,8,17,18
April 12
Page 483  1,5,6,7,8,9,11,12,13,17
• April 14

Page 483 13,17
• April 19

Page 490  1,2,3,4,5,7,8,10
• April 21

Page 490 10
• April 24

Exam 3
• April 28

Are the vectors (1,1,0),(0,2,3),(1,1,1) in Z³₁₇ independent or dependent?
• May 1

Page 362 2
• May 10

Final Exam at 10:30 in classroom (Check fall class schedule to verifiy this date and time.)