Exam III will be in the usual classroom on Thursday, November 15, 2007. It will cover sections 13.1-13.7, plus a repeat of a question from Exam II (it won't be one of the estimates of the remainder in Taylor's Theorem).

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. 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 likely to appear, although the exam is not necessarily limited to these topics:

1.	equations of spheres
2.	dot product: its geometric and algebraic meaning, linear properties, other algebraic properties
3.	scalar projection and vector projection, calculation and geometric meaning
4.	cross product: its geometric and algebraic meaning, linear properties, other algebraic properties
5.	equations of lines and planes
6.	quadric surfaces: understand translation of coordinates, traces, be familiar with the equations of the standard quadric surfaces
7.	cylindrical and spherical coordinates: know their geometric meaning, formulas for x, y, and z in terms of cylindrical and spherical coordinates, graphs of equations in spherical coordinates

You should know the formula for the equation of a sphere, and formula for the distance between two points, but you do not need to know the formulas for the distance from a point to a line or a point to a plane. You also need to know the equations for straight lines as vector-valued functions and as parametric equations, but it is not necessary to know the symmetric form. Know the equation of a plane and how normal vectors work. For quadric surfaces, it is not necessary to memorize the standard forms, but be familiar with them and the general idea of how the classification works (the handout sheet). Understand traces and how they are calculated, and how to translate coordinates by completing the square. You don't need to memorize the details of how to graph conic sections. Do be able to derive the formulas for x, y, and z in cylindrical and spherical coordinates.

The following topics do not appear, at least not explicitly: velocity vector of a moving point, Law of Cosines, intersecting versus skew lines, rotation of coordinates and dimension of the space of rotations.

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. This course varies from semester to semester, so the exams may be quite a bit different from ours.