Homework assignments
- Set 1. Problems recommended for discussions.
- Section Preliminaries: read Proposition 4. Problems: 10, 11.
Section 1.1: 6 (c,d,f), 7,8,14,25,31
Section 1.2: 1,4
Section 1.3: 1,5,11,15,16,17
Section 2.1: 2 (a,b,e), 3,5,8,12,14
Section 2.4: 6,7,8,13,14(d)
Section 6.3: 4
To be submitted for grading (due August 31 F) 1.1: 25; 1.2: 4; 1.3: 15,16; 2.1: 8.
Set 2. Problems recommended for discussions.
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Section 1.6: 2,4,6,8,9,17,19,20,24,25
Section 3.1: 1,3,9,11,12,14,17,18,24,42
Section 3.2: 8,10,12,18,19
Reading assignment: read section 3.5.
To be submitted for grading (due Sept. 7 F) 1.6:4,25; 3.1:12,42; 3.2:8.
Set 3. Problems recommended for discussions.
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Section 1.7: 8,10,14-19.
Section 4.1: 1-6,9.
Section 4.3: 6,8,9,11,17,23-27,33.
To be submitted for grading (due Sept. 14 F) 4.1: 2,5,9. 4.3: 25,26.
Set 4. Problems recommended for discussions.
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Section 4.5: 4,5,10, (some of) 13-25,30,33,34,35,38,40.
Section 5.1: 1,2,7.
Section 5.2: 1 (a-c),2(a,c,d),7,8,9,12.
To be submitted for grading (due Sept. 28 F) 4.5: 30,32. 5.1: 2. 5.2: 9,12.
Set 5. Problems recommended for discussions.
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Section 2.3: 16,21,22,23
Section 4.4: 1,4,5,12,13,14
Section 4.6: 2,4,5
Section 5.5: 6,8-12,15
To be submitted for grading (due Oct. 5 F) 2.3:22. 4.4:1,13. 5.5:12,15.
Set 6. Problems recommended for discussions.
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Section 7.1: 5,6,11-16.
Section 7.2: 1-5.
Section 7.3: 6,7,10,12,13,25,29,33,35.
(Optional from 7.1) Read examples of quadratic integer rings (page 229) - solve: 23,26,27;
worry about zero-divisors/invertible elements in a non-commutative rings - solve: 28-30.
To be submitted for grading (due Oct. 26 F) 7.1:6,14. 7.2:3. 7.3:29,33.
Set 7. Problems recommended for discussions.
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Section 7.4: 4,7,8,10-14,16-19,25,26,28,37,38.
Section 7.5: 2-5.
Reading assignment. Example (5) of Section 7.5. Section 7.6.
To be submitted for grading (due Nov. 2 F) 7.4:8,11,17. 7.5:2,3.
Optional problems - for disussion
Set 8. Problems recommended for discussions.
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Section 7.1: 23,24,26,27.
Section 8.1: 3,4,5,7,8 (a) for D=-7 only,9,11.
Section 8.2: 3,4,5,8.
Section 8.3: 3,5,6,8.
Reading assignment from the text book. Examples (3), (4) of Section 8.1, page 272. Example (2) on page 279.
Example on page 282.
To be submitted for grading (due Nov. 16 F) 7.1:26. 8.1:4,5. 8.2:5. 8.3:5.
Set 9. Problems recommended for discussions.
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Section 9.2: 7,8,10.
Section 9.3: 1,3,4.
Section 9.4: 1(c),2(b,d),7,9,12-14,18,19.
To be submitted for grading (due Dec. 5) 9.2:10. 9.3:3. 9.4:9,13,19(b,d).