Most homework problems will ask you to prove one of the Propositions in the text, so the homework will just be identified by the number of the proposition. For example, "1.3" means "Prove Proposition 1.3". (Proposition 1.3 is on page 10 of the text.) Occasionally there will be extra problems, labeled X1, X2, etc. These are in the notes and problems file.
| Date | Problems | Comments |
|---|---|---|
| 8/27 | 1.3, 1.4, 1.5 iii | |
| 8/28 | 1.14, 1.15 | |
| 8/29 | 1.11, 1.13, 1.18 iii | |
| 9/4 | X1, X2 | |
| 9/8 | X3, X4, X5 | |
| 9/10 | 3.7 iv |
Corrected 9/12. You might find problem X4 useful in the proof. |
| 9/11 | 3.9 i, 3.9 ii |
Corrected 9/12. These will be graded as two separate problems. |
| 9/12 | 3.10, 3.12, 3.15 | None of these require induction. |
| 9/17 | 3.17 iii, 3.22 ii, 3.23, X6 | |
| 9/19 | 5.3 ii | |
| 9/25 | X7, X8, X9, X10, 5.7 i, 5.7 ii | |
| 10/3 | 5.13 | |
| 10/7 | 6.4(3), 6.4(5), 6.9, 6.10, 6.11 | The suggested proof of 6.11 uses 5.16. I'll discuss 5.16 next week. |
| 10/24 | X11, X12, X13, X14, 8.1, 8.4, 8.5, 8.7 | You should do either the X problems or the Ch 8 problems. |
| 10/29 | 10.4, 10.8 | |
| 10/30 | 11.5, 11.7 | |
| 11/3 | 11.11 | |
| 11/6 | X15 | |
| 11/11 | 10.12, X16, X17, 14.4 | Since we have not yet defined nth roots you should
interpret 14.4 as:
There is no positive rational number |
| 11/15 | 13.20 | |
| 11/18 | 13.10, 13.11 | Read Proposition 13.9 (and its proof); you might want it for 13.10. |
| 11/23 | X18 | |
| 11/28 | X19, X20 |