Exam III will be in the usual classroom on Thursday, April 27, 2006. It will cover sections 17.1-17.5.

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.

The following will definitely be covered, although the exam not necessarily limited to these topics:

1.	Green's Theorem. Mostly applications to various computational situations, little if any on the tangential and normal forms.
2.	The vector field -y/(x^2+y^2) i +x/(x^2+y^2) j. What it looks like, its key properties, why it is an important example.
3.	The three kinds of line integrals. Be able to calculate and to move freely between the three interpretations of the line integral of a vector field \int_C (P i + Q j) \cdot dr = \int_C P dx + Q dy = \int_C F \cdot T ds.
4.	div, grad, and curl--- some but not a whole lot on these.
5.	The concept of path independence for line integrals of vector fields.
6.	The definition of simply-connected, and the theorem that requires a simply-connected domain as a hypothesis.
7.	It happens that, by chance, the exam does not have much on the Fundamental Theorem for line integrals. Still good to know it, though.

The following topics do not appear, at least not explicitly: actually graphing vector fields from their formulas, integrating conservative vector fields to find the functions of which they are the gradient, the rotating drum example of curl, calculating the unit normal vector of a curve, calculation that \del \theta / \del x = -y/(x^2+y^2) and \del \theta / \del y = x/(x^2+y^2), proof of the Fundamental Theorem for Line Integrals, proof of Green's Theorem.

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 classes, so the exams may be quite a bit different.