**Math 3592H Honors Mathematics I Fall Semester 2003
**

Exercises:

Section 1.6 (pages 124-125): 1, 2*, 3*, 4*, 5, 6, 7*

Extra questions:

1. Which of the following sequences of complex numbers tend to a limit? Justify your answer.

2. Which of the following series of complex numbers converge? Justify your answer.

There are 5 questions on the exam, but they have multiple parts, so that on average each part is worth about 7% of the total. The exam is officially 50 minutes, but it is my hope that Oleg may allow you to stay in the room 5 or 10 minutes longer at the end, if you need it.

Some of the questions are routine calculation, of a kind we have practiced, so that if you are up to speed with what we have done you should be able to do those questions without really thinking. There are some other questions where you will have to think in a more individual manner. If you find yourself getting stuck on a question, do move on to another one. I think you should be able to do each question part in about 3 minutes or less, so if you are taking, say, 6 minutes on a part of a question, consider moving on.

If there is something on the exam, like a piece of notation, which you do not understand, do ask Oleg. The worst he can do is to refuse to answer you, and it may save you some trouble.

If you find yourself needing more space to answer a question than is given to you the way the exam is printed, continue your answer on the reverse side of the paper, which will not have printing on it.