Exam I will be in the usual classroom on Tuesday, February 13, 2007. It will cover sections 5.1-5.5.

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.

More than half of the exam will be calculation of definite and indefinite integrals, and calculation of derivatives using the Fundamental Theorem of Calculus. The remainder will be more theoretical. 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.	Partitions, Riemann sums, and the definition of the definite integral.
2.	Interpretations of the integral: as area (the “area problem”) and (when integrating f ' ) as total of the local rates of change (the “distance problem”).
3.	The Fundamental Theorem of Calculus: Statement of both parts, use in calculating derivatives and integrals, interpretations that (i) f is the rate of change of the area function of f, and (ii) adding up local rates of change of f gives the total net change of f.
4.	The Mean Value Theorem for Integrals: its statement, why it is true, computationally finding the actual value of c in examples.
5.	Calculating integrals using antiderivatives, substitution, properties of integrals, intepretation as area.

The following topics do not appear, at least not explicitly: the Mean Value Theorem (for derivatives), verification of summation formulas using geometric arguments, calculation of limits by identifying them as limits of Riemann sums, actual proof of the Fundamental Theorem of Calculus.

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.