Exam II will be in the usual classroom on Thursday, October 18, 2007. It will cover sections 16.1-16.8.

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.

The exam will have around 60 points, so you can regain lost ground if you are well prepared. There will be a repeat problem from Exam I. Most of the exam will be similar to the homework problems, but some will be drawn from the lectures. 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 likely to appear, although the exam is not necessarily limited to these topics:

1.	Riemann sums for functions of two variables, the midpoint rule
2.	Supplying limits for double and triple integrals, changing the order of integration, finding areas and volumes by integrating
3.	Integration in polar coordinates
4.	Mass, moments, and center of mass for two-dimensional and three-dimensional objects
5.	Surface area, the formula for dS and its use to calculate surface area using integration
6.	Integration in cylindrical and spherical coordinates

You must know the expressions for dA in polar coordinates and for dV in cylindrical and spherical coordinates, and also the expressions for x, y, and z in terms of the spherical coordinates rho, theta, and phi. You must know the expression for dS, the differential of surface area.

The following topics do not appear, at least not explicitly: average values of functions, moment of inertia, probability and expected values, change of variables and the Jacobian

Exams from some of my previous Calculus IV classes can be found on their course pages. 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.