**Math 3593H Honors Mathematics II Spring Semester 2006**

**Assignment 1** - Due Thursday 1/26/2006

**Read:** Hubbard and Hubbard Sections 2.9, 3.1 as far as page 304.

Exercises:

Section 2.9 (pages 282-284): 1c*d*e*, 2, 3, 4, 5, 8, 10, 11*, 12, 13, 14*, 15, 16*

Section 2.10 (pages 285-290): 29, 30, 31, 32

(I notice that question 2.9.5 seems the same as 2.9.7ab and 2.9.14 is the same as 2.30 on page 289.)

Section 3.1 (pages 311-316): 1, 2, 3, 4, 5*, 7*

**Comments:**

In Section 2.9 we will do the 'short versions' of the inverse and implicit function theorems, 2.9.4 and 2.9.10, and we will not study the proof given of the inverse function theorem. This means we will study up to page 269 and then pages 274-275. It is not clear to me at this moment whether pages 278-281 will be useful to us. They might be, but I suspect not. It is probably better to go straight to the exercises.

The questions from Section 3.1 are really about the implicit function theorem.