The problems are from Contemporary Abstract Algebra by Gallian, 6th Edition unless otherwise noted.

1. Homework #1 (Due Thursday, April 2)
   
   Hand in Problems:
    Chapter 12: #2, 6, 7, 18, 22, 26, 42, 44*,  46.  (*Hint: consider (-a)ⁿ).   
   
   Extra problems for practice (do not hand in): 
   Chapter 12:  # 14, 19, 29, 31, 37, 39, 41, 47

   Homework_Answers_1.pdf

   

2. Homework #2 (Due Thursday, April 9)
   
   Hand in Problems:
   Chapter 13: #4, 6, 13, 14, 16, 22, 44, 54
   Chapter 14: #2, 4, 10, 12
   
   Hint: 13.54: Use Lagrange's theorem from last quarter.
   
   Extra problems for practice (do not hand in):
   Chapter 13: #5, 15, 21, 25, 29, 33, 39, 45, 53.
   Chapter 14: #1, 5, 7, 11, 17, 19.
   
   Homework_Answers_2.pdf

   

3. Homework #3 (Due Thursday, April 16)
   
   Hand in Problems:
   Chapter 14, #18*, 40
   Chapter 15, #6, 12, 14, 16, 28**,  30
   
   

   **Hint: consider the relationship mod 3.
   
   Extra problems for practice (do not hand in):
   Chapter 14, #25, 27, 59
   Chapter 15, #11, 13

   Homework_Answers_1-3.pdf

   

4. Homework # 4 (Due Thursday, April 23)
   
   Hand in Problems:  Hand in Problems:
   
   Chapter 14, #24, 34, 37, 54
   Chapter 15, #20, 26, 36, 40.
   Chapter 16, #2, 4, 6, 14
   
   
   
   Extra problems for practice (do not hand in):
   
   Chapter 14, #29, 33
   Chapter 15, #39, 45, 51.
   Chapter 16, #1, 11, 13, 15, 19, 41

   Homework_Answers_1-4.pdf

   

5. Homework # 5 (Due Thursday, April 30)
   Hand in Problems:

   
   
   Chapter 14, #28, 32, 36, 52
   Chapter 15, #40, 58, 60
   Chapter 16, #12, 18
   
   
   Extra problems for practice (do not hand in):

   Chapter 14, #31
   Chapter 15, #27, 29, 42, 62
   
   Homework_Answers_1-5.pdf

   

6. Homework # 6 (Due Thursday, May 7)
   Hand in Problems:
   Chapter 16, #12, 18, 20, 24, 30, 36, 38, 48
   
   Hint for 16.20. Think about the roots of the polynomial h=f-g.
   Hint for 16.38. Here is the start of the proof of 16.38 which you should complete:

   
   
   Extra problems for practice (do not hand in):

   Chapter 16, #1, 11, 13, 15, 19, 41

   Homework_Answers_1-6.pdf

   

7. Homework # 7 (Due Thursday, May 14)
   Hand in Problems: 
   Chapter 17, #2, 4, 6, 8, 12, 14, 25
   
   Extra problems for practice (do not hand in):
   Chapter 17, #1, 3, 5, 7, 21
   
   Homework_Answers_1-7.pdf

8. Homework # 8 (Due Thursday, May 21)
   Hand in Problems:
   Please see the problems on page 3. of the lecture notes:  Lecture Notes/103bsweeks1-8.pdf
   
   Homework_Answers_8.pdf
    
9. Homework # 9 (Due Thursday, May 28)
   Hand in Problems:
   Chapter 18, #4,  28, 30.
   Chapter 19, #8, 22, 26.
   Also hand in the following exercise:
    
   Extra problems for practice (do not hand in):
   Chapter 18, #1, 5, 27
   Chapter19, #7, 13, 14.
   
   Homework_Answers_9.pdf
    
10. Homework # 10 (Due Thursday, June 4)
    Hand in Problems:
    Chapter 20, #1, 3, 5
    Chapter 21, #10
    Chapter 23, #14
    
    Extra problems for practice (do not hand in):
    Chapter 21,  #14
    
    Homework_Answers_10.pdf