Joseph Fehribach

Syllabus of Homework Assignments

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 R^{m} 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 R^{m} . | |||||||

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 | ||||

Final Exam Solutions, C02:

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Last Updated: Monday 11 March 2002

Copyright 2002, Joseph D. Fehribach