MTH316: Algebra
Fall 2015

## Schedule

This page will contain the assigned homework problems. I will aim to get these posted by Thursday each week. The following Thursday there will be a quiz that will be based on the homework problems. It is also highly recommended that you attempt other problems in the textbook; I will be happy to discuss them with you in office hours.

 Number Chapter(s) Questions Due date/notes 1 2 15, 16, 17, 18, 22, 37, 41, 47, 49, 50 Quiz on 09/24. 17 is quite tricky. 2 3 4, 6, 12, 15, 22, 32, 37, 40, 45, 65, 73, 80 Quiz on 10/01. 3 3,4 3: 26, 33, 34, 38, 784: 1, 2, 7, 8, 14, 22 Quiz on 10/08. 4 4 14, 18, 22, 26, 30, 32, 34, 35, 46, 61, 74, 85 Quiz on 10/15. 85 is quite hard. 5 5 2, 3, 5, 11, 12, 13, 14, 23, 25, 35, 47, 49, 77 Quiz on 10/22. 6 6 1, 4, 5, 6, 7, 19, 20, 22, 25, 26, 28, 36 Quiz on 10/29. One could describe 25 as a complex question... 7 6 12, 14, 22, 24, 34, 37, 40, 42, 45, 48, 50, 52, 58 Quiz on 11/12 8 7 6, 7, 8, 9, 14, 15, 17, 19, 20, 26, 30, 33, 38, 56 Quiz on 11/19. 38 seems quite hard. 9 7,8 7: 29, 45, 46, 578: 1, 3, 4, 5, 6, 7, 14, 16 Quiz on 12/3. 10 8 2, 12, 13, 15, 16, 25, 28, 37, 38, 49, 58, 63 Quiz on 12/10.

### Final Recommended Problems

Here are some recommended questions to prepare you for the final on 12/15. As well as these, you should make sure you are comfortable with the definitions in the book, and the statements (but not necessarily the proofs, though it all helps!) of the main theorems. Note that some of the problems below are made easier due to later work! Take advantage of your extra knowledge!
• Chapter 2: 20, 25, 32, 48, 51, 52.
• Chapter 3: 32, 47, 59, 60, 68, 80.
• Chapter 4: 9, 19, 32, 33, 34, 35, 66, 82, 84, 85.
• Chapters 1-4 Review: 1, 3, 14, 15, 16, 18, 30, 49.
• Chapter 5: 6, 7, 29, 39, 40, 61.
• Chapter 6: 4, 5, 15, 16, 35, 36, 39.
• Chapter 7: 7, 17, 20, 30, 57.
• Chapter 8: 3, 4, 16, 17, 25, 29, 38, 49, 61, 66, 70, 72, 74.
• Chapter 5-8 Review: 13, 15, 16, 17, 23, 24, 32, 45, 57,
• Chapter 9: 1, 2, 6, 9, 12, 13, 18, 21, 22, 23, 25, 40, 45, 48.