f21-mas4301-homework

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

 

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