**Math 3593H Honors Mathematics II Spring Semester 2009**

**Assignment 6** - Due Thursday 3/5/2009

**Read:** Hubbard and Hubbard Sections 4.1 and 4.3.

Exercises:

Section 4.1 (pages 404-407): 3, 5, 6, 9*, 10*, 11, 14a*, 15, 16.

Section 4.3: 1*, 2, 5*.

**Comments:**

Sections 4.1 and 4.3 are theoretical in nature, concentrating on the foundations of what can and cannot be done. There is a lot to read, and it probably looks rather complicated. However, if you could somehow instantly read everything the authors write, I think you may think that you could have guessed the highlights anyway (e.g. Theorem 4.3.7: continuous functions can be integrated). From Section 4.1 I have asked questions about the foundations of the integral, but they are the same as questions that could have been asked about one-dimensional integrals, which you may well have been able to answer anyway.

We are skipping Section 4.2.