- Assignment #1
Section 1.2: 3-8
Section 1.3: 2-4, 6-9, 11, 13
Supplement: Prove Theorems: 1.a, 1.h.ii, 1.i, 1.l.v, 1.m.ii, 1.m.vi, 2.a.i, 2.b.ii, 2.c.i
A. One of the theorems in the Appendix is false. Find it and prove that it is false.
Correct the hypothesis and prove the corrected theorem.
B. Prove that the complex number field C cannot be an ordered field.
Due: Wednesday, September 6
- Assignment #2
Section 1.4: 1-4
Section 1.5: 2-3, 5-7, 9
Due: Wednesday, September 13
- Assignment #3
Section 1.6: 2-6
Section 1.7: 3-5
Section 2.1: 2-3, 5-6
A. Prove: If A, B are countable, then A × B is countable.
Due: Wednesday, September 20
- Assignment #4
Section 2.2: 1, 7, 10-11
Section 2.3: 1-3, 5
Section 2.4: 1-3, 5
Section 2.6: 1-2, 5-6, 8-9
Due: Wednesday, September 27
- Assignment #5
Section 2.7: 1-4, 6-7, 11
Section 2.8: 1-2
Section 2.9: 1-3, 5, 7
Due: Wednesday, October 4
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- Assignment #6
Section 2.10: 1-2, 5-7
Section 2.11: 1-2, 5
Section 2.12: 1-2, 5
Section 3.1: 2, 4-5, 7, 9, 11-12, 14
Due: Wednesday, October 18
- Assignment #7
Section 3:2: 1-3, 5-6
Section 3:3: 1-3, 5
Section 3:4: 1-4
Due: Wednesday, October 25
- Assignment #8
Section 3:5: 2, 5, 7-8
Section 3:6: 1-2, 5-7, 11
Due: Wednesday, November 1
- Assignment #9
Section 3:7: 1, 2, 5
Section 3:8: 1, 3-5
Section 3:9: 1-3,6
Section 3:10: 1-3, 5-7
Section 4.1: 3-6, 8, 10
Due: Wednesday, November 15
- Assignment #10
Section 4.2: 2, 5, 7, 9, 11-12
Section 4.3: 1-2, 5, 7, 12
Section 5.1: 2-5, 9-10
Section 5.3: 1-3, 5, 7, 9
Due: Wednesday, November 29
- Supplementary Problems
Section 5.4: 1-4, 6-7, 9-10
Section 5.5: 1-6, 8-11, 13-14, 18, 20
Section 5.7: 1, 3
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