Homework assignments
- Homework 1 (due: Friday September 2)
- Problems for submission: 1.1: 25; 1.2: 4; 1.3: 16; 2.1: 8; 2.4: 14
- Problems for practice and discussions:
1.1: 6 (c,d,f); 7; 8; 14; 25; 31
1.2: 1; 4; 7; 18
1.3: 1; 5; 11; 15; 16; 17
2.1: 2 (a,b,e); 3; 5; 8; 12; 14
2.4: 6; 7; 8; 13; 14
- Suggested reading:
Preliminary Section 0.3: especially Proposition 4, and Problems 10-14 (pages 10, 11).
- Homework 2 (due Friday September 9)
- Problems for submission: 1.6: 9, 25; 3.1: 36, 41; 3.2: 17.
- Problems for practice and discussions:
1.6: 2, 4, 6-9, 17, 19, 20, 23, 25.
3.1: 1, 3, 9, 11, 14, 17, 18, 25, 36, 40-42.
3.2: 8, 10, 17-19.
- Suggested reading:
Section 1.5: definition of the quaternion group.
- Homework 3 (due Friday September 16)
- Problems for submission: 4.1: 2, 4, 10 (parts (a) and (d); 4.3: 24, 26.
- Problems for practice and discussions:
1.7: 8-12; 2.2: 4, 5, 6, 9, 10.
4.1: 1-6, 10.
4.3: 6, 8, 9, 11, 17, 23-27, 33.
- Suggested reading:
Section 3.5: Transpositions and the alternating group.
- Homework 4 (due Friday September 30)
- Problems for submission: 4.5: 12, 22, 32;
5.2: 1(a, b), 8.
- Problems for practice and discussions:
4.5: 4, 5, 8, 12, 30, 32, 33, 36, 39, 40.
4.5: 13-25 (try a few problems about Sylow theorems)
5.1: 1, 4, 5, 6, 14.
5.2: 1, 2, 7, 8, 9, 12, 13.
- Homework 5 (due Friday October 7)
- Problems for submission:
4.4: 10, 12; 5.5: 6, 11, 22.
- Problems for practice and discussions:
2.3: 21, 22, 23.
4.4: 1, 3, 4, 5, 10, 12, 13, 14, 18, 19.
5.5: 6-13, 15, 16, 22.
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Reading suggestion: Examples on pages 181-184.
- Homework 6 (due Friday October 28)
- Problems for submission:
7.1: 26, 27; 7.2: 3; 7.3: 29, 33.
- Problems for practice and discussions:
7.1: 5, 6, 7, 11-16, 26, 27.
7.2: 1-7.
7.3: 10, 12, 13, 14, 21, 25, 26, 29, 33, 35.
-
Reading suggestion: Quadratic rings of integers (page 229).
- Homework 7 (due Friday November 4)
- Problems for submission:
7.4: 11, 39, 41; 7.5:5; 7.6:5
- Problems for practice and discussions:
7.4: 4, 7, 8, 9-12, 14-19, 25, 26, 28, 30, 38, 39, 41.
7.5: 2, 3-6.
7.6: 1, 3-7.
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Reading suggestion: Ex. 8-11 of Section 7.6.