|
| | 1a | | * |
| Due 11 January |
| Please show that there are the same number of integers
and positive integers. |
| | 1b | | p. 12 |
| Due 14 January |
| # 1a,b, 2a,c, 3c |
| | 2 | | p. 12 |
| Due 17 January |
| # 7, 8, 9 |
| | 3a | | p. 29 |
| Due 21 January |
| # 1, 2, 3 |
| | 3b | | pp. 29-30 |
| Due 24 January |
| # 4a, 5b,c,d, 6 |
| | 4 | | pp. 30-31 |
| Due 28 January |
| # 9, 10, 11, 12, 14 |
| | 5 | | p. 61 |
| Due 31 January |
| # 1a,b, 2, 3, 4 |
| | 6 | | pp. 61-62 |
| Due 8 February |
| # 7, 9, 10, 12 |
| | 7 | | pp. 62-63 |
| Due 12 February |
| # 15, 16a, 17b, 18 |
| | 8 | | |
| |
| 1. Prove the in-class version of Corollary 1, p. 56: |
| | | | |
| Due 19 |
| Any bounded sequence in Rm has a convergent
subsequence. |
| | | | |
| February |
| 2. Please give an example to show why the nesting property fails |
| | | | |
| |
| for a sequence of nonempty, closed, but unbounded sets in Rm . |
| | | | p. 64 |
| |
| # 27, 30 |
| | 9 | | p. 64 |
| Due 22 |
| # 26, 28 |
| | | | p. 90 |
| February |
| # 1 |
| | 10 | | pp. 91-92 |
| Due 26 February |
| # 8, 9, 10a,b, 11, 14a |
|