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

**Assignment 4** - Due Thursday 2/19/2009

**Read:** Hubbard and Hubbard Section 3.5, 3.6

**Exercises: **

Section 3.5 (pages 341-343): 1, 2, 3, 3b*, 3c*, 4, 4b*, 5, 8, 9, 10, 10d*, 11, 17, 17c*, 17d*

Section 3.6 (page 349): 1, 2*, 6, 7*, 8*.

**Comments:**

There will be an exam on February 19 on what we have studied in Sections 2.10, 3.1, 3.1, 3.2, 3.3, and 3.4. The topics are the inverse and implicit function theorems, the various definitions of a manifold and showing that certain sets are or are not manifolds, tangent spaces and Taylor polynomials. On this exam you may use a calculator, but you may not use the book or notes.