Assigned
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Due
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Read
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Exercises
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| 9/6
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9/13
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pp. 1-4 in Trench
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Do problems 1.1.1, 2, 4 in Trench. Decide if the following are fields:
- R[x]=the set of all polynomials with real number coefficients under the usual addition and multiplication of polynomials,
- S=the set of all invertible functions from the real numbers to the real numbers under the usual addition and multiplication of functions,
- T=the set of all invertible functions from the real numbers to the real numbers under the usual addition and composition of functions for multiplication.
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| 9/13
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9/20
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pp. 4-7
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Homework 2
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| 9/20
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9/27
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pp. 7-8, 10-12
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Do problems 1.1.5, 6, 7a, 8, 9 in Trench. In problem 5, assume that S is a subset of the real numbers.
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| 9/27
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10/4
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pp. 8, 10-13
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Do problems 1.1.7b, 10-12 in Trench
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| 10/4
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Section 1.2 (pp. 10-15)
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Homework holiday. Prepare for the upcoming exam.
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| 10/11
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10/18
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pp. 14, 15, 19-21
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Do problems 1.2.5, 11, 13, 17, 22 in Trench
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| 10/18
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10/25
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pp. 21-23
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Do problems 1.2.21 and 1.3.2, 3 in Trench
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| 10/25
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11/1
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pp. 24-27
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Do problems 1.3.7, 8, 17-19 in Trench
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| 11/1
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pp. 25-27, 30-33
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Homework holiday. Prepare for the upcoming exam.
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| 11/8
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11/15
| pp. 33-39
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Do problems 1.3.16, 20-22 in Trench. In 1.3.22, the word dense is missing in the first sentence. It should start as "A set S is dense in a set T if ..."
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| 11/15
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11/22
| pp. 38-42
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Do problems 2.1.4, 6, 9a, 10 in Trench.
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| 11/22
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12/2
| pp. 43-47
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Do problems 2.1.7, 12, 19 in Trench.
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| 11/26
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12/6
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pp. 53-58
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Do problems 2.1.15ad, 13a, 25, 26 in Trench.
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| 12/6
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12/12 (notice it's Thursday)
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pp. 59-64, 73-77
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Do problems 2.2.5, 7, 14 and 2.3.3 in Trench.
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