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 13. Do the problems in Homework 1 .
Due Monday January 23. Section 1, numbers 10, 13 and 15.
Due Wednesday January 25. Section 2, numbers 2, and 3. (Note: The book may be wrong when it says that some of these are binary operations.)
Due Friday January 27. Section 2, numbers 6, 7 and 10.
Due Monday January 30. Section 2, numbers 14, 16 and 18.
Due Wednesday February 1. Section 2, numbers 20, 24 and 26.
Due Wednesday February 1. Section 2, numbers 28, 30, and 31.
Due Wednesday February 9. 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 Friday February 11 Section 3, numbers 10, 26 and 28.
Due Wednesday February 15. Section 4, numbers 1 -7 odd and 11.
Due Wednesday February 22. Section 5, numbers 1 – 5.
Due Friday February 24. Section 5, numbers 6, 7, 36 and 41.
Due Friday March 3. Section 6, numbers 3, 6, 7, 12, 16, and 28.
Due Wednesday March 8. Section 7, numbers 1, 2, 3, 6, 7, 8, and 9.
Due Friday March 10. Section 7, numbers 19, 21, 25, and 26.
Due Monday March 20. Section 8, numbers 14, 16, and 18.
Due Wednesday March 22. Section 8, numbers 17, 19, 23, and 26.
Due Wednesday March 22. Section 10, numbers 2, 6, 26, and 36.
Due Friday March 24. Section 10, numbers 8, 22, and 25.
Due Monday March 27. Section 9, numbers 1, 2, 3, and 4.
Due Wednesday March 29. Section 9, numbers 6, 7, 10, and 25.
Due Wednesday April 5. Section 11, numbers 16, 30, and 32.
Due Monday April 10. Section 12, numbers 2, 3, 6, and 7.
Due Wednesday April 12. Section 12, numbers 18, 40, 46, and 47.
Due Friday April 14. Section 13, numbers 8, 9, 16, and 24.
Due Monday April 17. Section 15, numbers 15, 16, 21, 23, and 29.
Due Wednesday April 19. Section 14, numbers 5, 7, 8, and 10.
Due Friday April 21. Section 14, numbers 15, and 17.