Math 415 (Section 200) – Fall 2017

Honors Modern Algebra

TuTh 12:45 – 2:00, BLOC 605AX
**http://www.math.tamu.edu/~map/courses/415-fa17/**

## Homework

**Instructions:**
Hand in all problems. Problems marked with a '*' will be given a numerical grade. Credit will also be given for completing the assignment.

Unless otherwise stated, section and page references
and problems are from Fraleigh.

**HW #1: Due Thurs. 9/7**

Read Sections 0-2, pp. 1-25.

Problems:
- Section 0, pp. 8-10: 16, 17*
- Section 1, pp. 19-20: 13, 18*, 31, 36*
- Section 2, pp. 25-28: 2, 23, 36*

**HW #2: Due Thurs. 9/14**

Read Sections 3-4, pp. 28-45.

Problems:
- Section 3, pp. 34-36: 6, 13, 26*, 28*, 31
- Section 4, pp. 45-49: 3, 8, 10, 29*, 32, 34*

**HW #3: Due Tues. 9/26**

Read Sections 5-7, pp. 49-72.

Problems:
- Section 5, pp. 55-59: 10, 11, 31, 45*, 50*, 51, 52
- Section 6, pp. 66-68: 18, 20, 41, 46*, 48*, 52

**HW #4: Due Tues. 10/3**

Read Sections 8-9, pp. 75-93.

Problems:
- Section 7, pp. 72-73: 9, 10
- Section 8, pp. 83-87: 4, 6, 12, 16, 21, 22*, 44, 48*, 49
- Section 9, pp. 94-96: 2, 9, 10, 13, 29*, 33, 36, 37*, 38

**HW #5: Due Thurs. 10/12**

Read Sections 10-11, pp. 96-110.

Problems:
- Section 10, pp. 101-104: 6, 7, 30, 32, 34*, 39*, 42, 45*, 46
- Section 11, pp. 110-113: 6, 12, 46, 47, 50, 51*

**HW #6: Due Thurs. 10/19**

Read Sections 13-14, pp. 125-141.

Problems:
- Section 13, pp. 133-135: 2, 13, 21, 29*, 33, 41, 46, 47*, 50*
- Section 14, pp. 142-144: 6, 10, 14, 22*

**HW #7: Due Tues. 10/31**

Read Sections 15-17, 34, pp. 144-164, 307-310.

Problems:
- Section 14, pp. 142-144: 27*, 30, 31, 34, 39
- Section 15, pp. 151-154: 13, 34, 37*
- Section 16, pp. 159-161: 1, 2, 3, 12, 13*
- Section 17, pp. 164-165: 2, 4*, 7

**HW #8: Due Thurs. 11/9**

Read Sections 18-20, 34, pp. 167-189.

Problems:
- Section 18, pp. 174-177: 11, 12, 19, 41*, 46*, 50
- Section 19, pp. 182-184: 14, 25*, 28, 29
- Section 20, pp. 189-190: 4, 6, 10*, 14

**HW #9: Due Thurs. 11/30**

Read Sections 21-23, pp. 190-218.

Problems:
- Section 21, pp. 196-197: 2*, 12, 15, 16
- Section 22, pp. 207-209: 13, 22, 24*, 25
- Section 23, pp. 218-220: 7, 10, 34, 36*, 37*

**HW #10: Not to be turned in**

Read Sections 26-27, pp. 237-252.

Problems:
- Section 26, pp. 243-245: 18, 20, 28, 30, 34, 35
- Section 27, pp. 252-254: 8, 18, 19, 30, 31

Page maintained by Matt
Papanikolas, Dept. of Mathematics, Texas A&M University.