MAS 4301 Abstract Algebra 1 — Homework assignments
Every day
Master sections already covered in class.
Do the homework assigned bellow.
Read the section scheduled in the calendar to be discussed in the following class.
Minimum Homework by Due Date
Due Friday January 7. Do the problems in Homework 1 .
Due Wednesday January 19. Section 1, numbers 10, 13 and 15.
Due Friday January 21. Section 2, numbers 2, and 3. (Note: The book may be wrong when it says that some of these are binary operations.)
Due Monday January 24. Section 2, numbers 6, 7 and 10.
Due Wednesday January 26. Section 2, numbers 14, 16 and 18.
Due Monday January 31. Section 2, numbers 20, 24 and 26.
Due Wednesday February 2. Section 2, numbers 28, 30, and 31.
Due Friday February 4. 1) Let E be the set of even integers. Prove that E is a subgroup of the additive group of all integers.
2) Let O be the set of all odd integers. Prove that O is not a subgroup of the additive group of all integers.
3) Is the set of integers a subgroup of the additive group of all real numbers?
4) Is the empty set a subgroup of the additive group of all integers?
Due Monday February 7. Section 3, numbers 10, 26 and 28.
Due Wednesday February 9. Section 4, numbers 1 -7 odd and 11.
Due Wednesday February 16. Section 5, numbers 1 – 5.
Due Monday February 21. Section 5, numbers 6, 7, 36 and 41.
Due Friday February 25. Section 6, numbers 3, 6, 7, 12, 16, and 28.
Due Monday February 28. Section 7, numbers 1, 2, 3, 6, 7, 8, and 9.
Due Wednesday March 2. Section 7, numbers 19, 21, 25, and 26.
Due Wednesday March 2. Section 8, numbers 14, 16, and 18.
Due Wednesday March 2. Section 8, numbers 17, 19, 23, and 26.
Due Wednesday March 16. Section 10, numbers 2, 6, 26, and 36.
Due Friday March 18. Section 10, numbers 8, 22, and 25.
Due Monday March 21. Section 9, numbers 1, 2, 3, and 4.
Due Wednesday March 23. Section 9, numbers 6, 7, 10, and 25.
Due Wednesday March 30. Section 11, numbers 16, 30, and 32.
Due Monday April 4. Section 12, numbers 2, 3, 6, and 7.
Due Wednesday April 6. Section 12, numbers 18, 40, 46, and 47.
Due Friday April 8. Section 13, numbers 8, 9, 16, and 24.
Due Friday April 8. Section 15, numbers 15, 16, 21, 23, and 29.
Due Wednesday April 13. Section 14, numbers 5, 7, 8, and 10.
Due Friday April 15. Section 14, numbers 15, and 17.