# Math 361

## Fall 2008

## Homework

First homework, due Friday, September 12, in class:

**Section 1.1**: 4 (choose two of the four parts)**Section 1.2**: 5, 22, 23, 24**Section 1.4**: 1, 5

Key to first homework.

Second homework, due Wednesday, September 24, in class:

**Section 1.3**: 2d, 2s, 6c, 6d**Section 1.5**: 12, 15

Key to second homework.

Third homework, due Wednesday, October 1, in class:

**Section 1.6**: Prove that all of the following sets are equivalent (equipotent): (0,1), (0,1], [0,1],**R**(the real numbers)**Section 1.8**: 5d, 13, 14c, 15b, 15c, 15f, 15g

Key to third homework.

First test is Wednesday, October 8, in class. It is closed book and covers the material from chapter 1.

Key to the first test.

Fourth homework, due Friday, October 17, in class:

**Section 2.1**: 2a, 2g, 2k, 7, 10, 20

Fifth homework, due Friday, October 24, in class:

**Section 2.2**: 11c, 11d, 11i, 13, 18, 21**Section 2.3**: 1, 3a

Sixth homework, due Monday, November 3, in class:

**Section 2.4**: 1, 2, 11a, 11g**Section 2.5**: 1, 3

Key for homeworks 4,5, and 6.

The second test will be Monday, November 10, in class. Here are some (non-homework) test preparation problems:

**Section 2.6**: 1, 2**Section 2.7**: 1, 3, 4, 12, 14, 30, 31, 42, 48

Seventh homework, due Monday, November 24, in class:

**Section 3.1**: 2, 5c, 5g, 5i, 6**Section 3.2**: 1a, 1d, 1f, 8

Also, correct the mistake in Theorem 3.1.7 (k) on page 120 in the textbook. The statement is true, but a rather useless restatement of (j), and certainly not the squeeze theorem. Try to find the correct formulation for the squeeze theorem in this context. The statement in part (b) is wrong only in some versions of the textbook, and I went over this in class, so this is not a homework problem anymore.

Key to seventh homework.

The third test will be Monday, December 8, in class. Here are some review problems from Section 3.4 (p. 142ff.) that should be helpful in preparation: 1, 2, 12, 15, 17, 23, 26, 34, 35. (Remember that these are true/false questions.)

The final exam will take place Monday, Dec 15, 4-6pm, in the usual classroom 1-122 Wilson Hall. Here are the preparation problems for the final with solution key.