Homework |
You may be tested on the proofs of the following theorems on exams (so test yourself,
with the book closed, to make sure you can do them).
Mid 1: 3.1-3.6; 4.4i,ii (ii on final only); 4.5; 4.7.
Mid 2: 5.1-5.4.
Mid 3: 10.1, 10.2, 10.3, 12.1(iii), 12.2-12.6.
Final: 13.2, 14.1.
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HW # |
Due | Read | Do |
|---|---|---|---|
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W 12/10 9:00am - Noon |
The final exam will cover all HW assignments. You should also know the proofs of the theorems listed above, except Theorems 10.3, 12.4ii, and 12.5. |
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24 |
M 12/1 | Read Theorem 14.1, and Corollaries 14.5 & 14.6. Learn proof of Theorem 14.1 (both versions given in class). | Sec 14: 3, 6, 7, 8, |
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23 |
M 11/24 | Sec 14 p.129-133; may skip Theorem 14.1 and Corollaries 14.5 & 14.6 for now. | See these notes for hints and
instructions on some of the problems below. Sec 14: 1, 4, 5, 9, 10. Sec 6: 12, 13. |
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22 |
F 11/21 | Nothing. | HW 22 |
| W 11/19 | Will cover HWs 14-21 (Sections 10-13 up to page 120). | ||
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21 |
F 11/14 |
Sec 13 p.118-120 (p. 117 is optional). Learn the proof of Thm 13.2 |
Sec 13: 1-3, 5, 7, 8, 11, 12, 17, 19. Hint for Problem 12. Partial solutions Partial solutions |
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20 |
F 11/7 |
Sec 12 p.112-113. Learn proof of Theorem 12.6. | Sec 12: 9, 14, 19-22, 27, 29, 30, 33. Partial solutions |
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19 |
M 11/3 | Sec 12 p.105-111. Learn proofs of Theorems 12.1(iii), 12.2-12.5. | Sec 12: 1-5, 7, 8, 13, 15, 17. Partial solutions |
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18 |
W 10/29 | Sec 11 p.100-102. | Sec 11: 9, 13-19, 25. Partial solutions Partial solutions |
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17 |
M 10/27 | Sec 11 p.98-99. | Sec 11: 7, 8, 10, 11. |
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16 |
F 10/24 | Sec 11 p. 96-97. | Sec 11: 1-6, 12, 22. |
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15 |
W 10/22 | Sec 10 p. 89-92. | Sec 10: 5-8, 14, 18, 19. Partial solutions Partial solutions Problem 14 |
| F 10/17 | Will cover HWs 6-13 (Sections 5-9), and proofs of Theorems 5.1-5.4. | ||
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14 |
W 10/15 | Sec 10 p. 86-88. Learn proofs of Thms10.1-10.3 (they may be on exams). | Sec 10: 1-3, 9-11, 13, 15. Sec 5: 23. Sec 9: 14. |
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13 |
F 10/10 | Sec 9. | Sec 9: 4-8, 12, 13. Partial solutions |
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12 |
W 10/8 | Sec 8 p. 72-76. | Sec 8: 5, 11, 12, 17, 19, 20, |
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11 |
M 10/6 | Sec 8 p. 69-71. Play the Game of 15 (the "Fifteen Puzzle") for a couple of minutes if you've never played it before. |
Sec 8: 2, 3, 6, 14-16. Also do this additional Problem A1. Partial solutions |
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10 |
W 10/1 | Sec 8 p. 66-68. | Sec 8: 1, 4, 7, 8, 10, 13, 18. Compare 10 with problems 4.22 & 4.23 and Theorem 6.1(i). Partial solutions |
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9 |
M 9/29 | Sec 7. | Sec 7: 1abc, 7-10, 12. Partial solutions |
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8 |
F 9/26 | Sec 6. (Do you recognize the group in Example 2? We talked about it in class. What did we call it?) |
Sec 6: 1-8, 10, 11. Partial solutions Partial solutions |
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7 |
W 9/24 | Sec 5 pages 49-52. Learn proofs of Theorems 5.1-5.4 (they may be on exams). |
Sec 5: 6-9, 17-22. A good way to test yourself to see if you've learned the proof of Theorem 5.4(ii) is to try to prove #18a without using this theorem. (Also, note that 18a easily implies Theorem 5.4ii.) Partial solutions Solution to 5.21 |
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6 |
M 9/22 | Sec 5 pages 43-48. | Sec 5: [1a-g], 2, 3, [4], 5, 10-12, 14-16. Partial solutions |
| W 9/17 | Covers HW 1-5 (Sections 1-4).
Also make sure you can do the following proofs: 3.1-3.6; 4.4i,ii (ii on final only); 4.5; 4.7. |
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5 |
F 9/12 | Sec 4: p. 38-40 (may skip Klein's 4-group). | Sec 4: [1-7], 8-10, 12, 13, 16, 17, 22, 25. Square brackets [ ] mean: If you find these problems very easy, you don't have to turn them in --- but they may be on exams, so make sure you can do them! Partial solutions Partial solutions |
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4 |
W 9/10 | If you haven't already, read Sec 4: p. 33-38 up to Theorem 4.4. You may skip the proof of Thm 4.2 (but if you've never seen it, I recommend at least a quick look). | Sec 4: 18-21. We did part of 18 in class; now try to do it without looking at your notes. Hint for #21: use #20. Also, try to redo 3.15 using 3.14. Once you see it, it's very short! |
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3 |
M 9/8 | Sec 4: p. 33-38 up to Theorem 4.4. You may skip the proof of Thm 4.2 (but if you've never seen it, I recommend at least a quick look). | Sec 3: 12, 14, 15, 16. (Nothing on Sec 4 for this HW.) |
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2 |
F 9/5 | Sec 2 p.20-22 (may skip proof, but not statement, of the Division Algorithm). | Sec 2: 4a, 7, 8, 10. Sec 3: 1-7, Partial solutions Partial solutions |
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1 |
W 9/3 | Section 1 (may skip Example 5). Section 2, up to and including Example 7. |
Sec 1: 3acg, 4, 5, 6acg, 9. Sec 2: 1, 2a, 3, 5, 6. Partial solutions Partial solutions |