Modern Algebra 2

Math 415 / 515

Spring 2008

Gene Abrams

Homework Assignments

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Assignment Number	Section(s) Covered	Homework Assigned	Homework Due Date	Solutions
1	22, 23, 26, 27	Section 22:   5,7,9,12,14,21,23-25 Turn in:   none Section 23:  1,2,9-20,27-30,35,36 Turn in:  16, 18, 28, 35 Section 26:   10-15, 18, 20-24 Turn in:   18, 20, 24 Section 27:  18, 19, 24-28, 30 Turn in:  28, 30	Wednesday Feb. 6	Solutions to HW 1
2	29, 31	Section 29:   6-18, 25, 26, 30-32, 35-37 Turn in:  8, 12, 16, 25.   [add to 25:  part (c)  Give the multiplication table for Z2(α)] AND (for graduate students)  also turn in:  26, 36, 37 Section 31:   1-12, 22-31, 34-38 Turn in:  4-7, 23, 25, 28, 29 [on 29, add:  Is the statement true if p(x) is not assumed to be irreducible?  Prove or give a counterexample.] AND (for graduate students)  also turn in:  26, 36, 37.   [Possible hint on 37:  what degrees can irreducible polynomials in R[x] have?]	Monday February 25 (if you want feedback prior to Mar3 Exam 1) or Wed February 27 is OK too	Solutions to HW 2
3	48, 49, 50	Section 48:   1-6, 9-11, 15-23, 32-34, 39 Turn in:  22, 32, AND for grad students also turn in 34, 39 Section 49:   1-6, 13 Turn in:  4-6, 13 Section 50:   1-10, 15-20, 22, 23 Turn in:  7-9, 15, 16 AND for undergrad students also turn in 17, 18 AND for grad students also turn in  22,23	Wednesday April 2	Solutions to HW 3
4	51, 53, 54	Section 51:   1-4, 7, 14-22 Turn in:  7, 15-18 Section 53:   1-9, 11-14, 16, 20, 21 Turn in:  9, 11, 12, 20, 21 Section 54:   4-8 Turn in:  4,8	Wednesday April 23	Solutions to HW 4