Exam II will be in the usual classroom on Thursday, March 29, 2007. It will cover sections 6.1-6.3, 7.1, 7.2*-7.4*, and 7.5.

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.

Many of the exam problems will be from the homework, or very similar to homework problems. One problem will be repeated from Exam I. As usual, it has a few more than 50 points possible. 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 following topics are very like to appear, although the exam is not necessarily limited to these topics:

1.	Calculation of areas and volumes by integration of cross sections.
2.	Injective (one-to-one) functions and inverse functions. General concepts. The inverse tangent and inverse sine functions, algebraically and geometrically.
3.	Derivatives and integrals involving inverse trig functions.
4.	Logarithm and exponential functions. Their graphs, their important algebraic properties, and derivative and integral formulas involving them.
5.	The number e. Logarithms and exponentials to other bases.
6.	Derivatives and integrals involving logarithms and exponentials.
7.	Standard Calculus I applications involving the new functions studied in Chapter 7.

One must know the derivative and integral formulas involving inverse trig functions, logarithms, and exponentials, and be able to calculate with them. The following topics do not appear, at least not explicitly: average value of a function, the Mean Value Theorem for Integrals, proof that particular functions are or are not injective, problems involving dimensions larger than 3. For logarithms and exponentials to other bases, it should be enough to have a basic understanding of them and to know the formulas for expressing them in terms of the usual logarithm and exponential functions.

Exams from previous Honors Calculus classes can be found on their course pages (links to them appear on the course pages page). Some were 50-minute classes, but most were 75-minute classes. Of course, these were different courses, so the exams may be quite a bit different.