Math 3593H Honors Mathematics II Spring Semester 2006

Assignment 8 - Due Thursday 3/23/2006. The second mid-term exam will be held on this date.

Read: Hubbard and Hubbard Section 6.1.

Exercises:
Section 6.1 (pages 571-574): 1, 2, 3*, 4a*, 5, 6, 7, 8, 9a*, 10*, 11*, 12, 13*, 14.
Extra question: Express the following as linear combinations of elementary forms:
(a)*
(b)

The second mid-term 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 'small catalog of parametrizations' which appears on pages 535-537, except that we have not parametrized surfaces of revolution in class, but I think you can probably do this already. We have seen polar, cylindrical and spherical polar coordinates, and also how to parametrize the graph of a function.

On this exam you will be able to use calculators. I have been wondering whether it would helpful to allow you to use books and notes. I see no reason why not, and I think we should discuss this.

Questions which may be useful review for the exam:
Page 413: 4.1.14, 4.1.10;
page 435: 4.3.5;
page 453: 4.5.7, 4.5.8, 4.5.11, 4.5.12, 4.5.14, 4.5.15, 4.5.16, 4.5.18;
page 484: 4.8.2, 4.8.11, 4.8.13, 4.8.14;
page 503, 4.10.8, 4.10.12, 4.10.13, 4.10.14, 4.10.17, 4.10.18, 4.10.19;
page 524: 4.11, 4.12, 4.13, 4.21, 4.23;
page 531: 5.1.1, 5.1.2;
page 551: 5.3.2, 5.3.6, 5.3.8, 5.3.9;
page 552: 5.3.15, 5.3.18, 5.3.21;
page 556: 5.3, 5.4