**Math 3593H Honors Mathematics II Spring Semester 2004**

**Assignment 9** - Due Thursday 4/1/2004

**Read:** Hubbard and Hubbard Sections 6.1 and 6.2.

Exercises:

Section 6.1 (pages 571-574): 5, 6, 7, 8, 9*, 10*, 11*, 12, 13*, 14.

Section 6.2 (pages 578-579): 1, 2*, 3*, 4*, 5, 6.

Extra question*: Express the following as linear combinations of elementary forms:

(a)

(b)

**Peter's Paragraphs**

We have the second mid-term exam on April 1. I promise I will not put in any joke questions. Well, maybe... The exam will be on the sections we have studied from Chapters 4 and 5, which are 4.1, 4.3, 4.5, 4.8, 4.9, 4.10, 5.1, 5.3. Although I skipped it at the time, I see that in fact I have been assuming that you are familiar with the explicit parametrizations which appear in Section 5.2. As well as the use of polar, cylindrical and spherical polar coordinates this includes parametrizing the graph of a function, and I suppose you should also be able to parametrize a surface of revolution, as on page 536. There probably will not be a question where I need to specify to you whether the third coordinate in spherical polars is the angle to the vertical axis or to the equator. Most likely, if you need to use this you can decide which convention to adopt yourself. However, if I do think of a question where I need to specify the convention, then I will specify it. On this exam you will be able to use calculators, but not books or notes. We should also discuss whether you would like any formulas made available to you.

The return of...

**Julian's Joke**

Why do farts smell?

So that deaf people can share in them as well.