Due September 1. Section 1, numbers 10, 11 and 13.
Due September 6. Section 2, numbers 2, 3 and 4.
Due September 8. Section 2, numbers 6, 7 and 10.
Due September 18. Section 2, numbers 14, 16 and 18.
Due September 20. Section 2, numbers 20, 24 and 26.
Due September 20. Section 2, numbers 28, 30 (only one example of order 44) and 31.
Due September 20. 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 September 27. Section 3, numbers 27, 30 and 72.
Due September 29. Section 4, numbers 1 -7 odd and 11.
Due October 2. Section 5, numbers 1 – 5.
Due October 4. Section 5, numbers 6, 7, 12, 36 and 42.
Due October 13. Section 6, numbers 3, 6, 7, 10, 16, and 28.
Due October 16. Section 7, numbers 1, 2, 3, 6, 7, 8, and 9.
Due October 18. Section 7, numbers 19, 21, 24, and 26.
Due October 23. Section 8, numbers 14, 16, and 18.
Due October 25. Section 8, numbers 17, 19, 23, and 26.
Due October 27. Section 10, numbers 2, 6, 26, and 36.
Due October 30. Section 10, numbers 8, 22, and 25.
Due November 1. Section 9, numbers 1, 2, 4, and 5.
Due November 3. Section 9, numbers 6, 7, 10, and 26.
Due November 8. Section 11, numbers 16, 30, and 32.
Due November 15. Section 12, numbers 2, 3, 6, and 7.
Due November 17. Section 12, numbers 18, 40, 46, and 48.
Due November 27. Section 13, numbers 8, 9, 16, and 24.
Due November 29. Section 15, numbers 15, 16, 21, 23, and 29.
Due December 1. Section 14, numbers 5, 7, 8, and 10.