Exam II will be in the usual classroom on Friday, October 21, 2005. It will cover sections 12.2 through 12.8.

Calculators or other mechanical assistance are not needed and are not to be used. Blank paper will be provided, so all you will need is something to write with.

Fifty minutes is not very long for an exam, but you should be able to finish without rushing, provided that you give brief, clear answers without unnecessary explanation. As on any exam, it is wise to start with the problems that you feel confident that you know how to do, before moving on to others.

The main topics are the concept of convergence for series, the standard convergence tests for series, and the convergence behavior of power series. The following will definitely be covered, although the exam not necessarily limited to these topics:

1.	The convergence behavior of standard series such as geometric series and p-series.
2.	The standard tests for convergence, such as the necessary condition that the terms limit to 0, the Comparison Test, the Limit Comparison Test, the Alternating Series Test, and the Ratio Test.
3 .	Absolute convergence and its relation with convergence.
4.	The radius and interval of convergence of a power series. Analyzing the convergence behavior of a specific series.
5.	Sequences and convergence. Examples of sequences, the Squeeze Principle, monotonicity and boundedness, the Monotonic Sequence Theorem.

You should know the standard convergence tests well and be able to apply them, either when you are not told which test to use or when you are instructed to use a specific test. The integral test and the root test are not needed on this exam.

The format of the exam will be similar to those of the exams that I wrote for Honors Calculus I, II, III, and IV, which can be found on their course pages (links to them appear on the course pages page).