The Final Exam will be in the usual classroom on Monday, December 13, 2004, at 1:30 p. m. You may work on it until 3:45 p. m. if you wish.

Calculators 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 be based on our classroom discussions and on the homework assignments. It will be somewhat longer than the in-class exams, and will weigh approximately one-and-one-half times an in-class exam in your grade.

The following topics will definitely be covered (but the exam is not limited to these topics):

1.	major theorems such as the Intermediate Value Theorem, the Extreme Value Theorem, and the Mean Value Theorem
2.	Newton's method
3.	antiderivatives
4.	analyzing functions and their noteworthy features, using f', f'', and other ideas, and applying these to graphing
5.	computation of derivatives using algebraic rules, including the chain rule and implicit differentiation
6.	related rates problems
7.	optimization problems

As usual, you are expected to know the graphs of the six trigonometric functions, and their derivatives, and the Law of Cosines. You should know the epsilon-delta definition of limit, and its adaptations to various situations involving infinity and one-sided limits. You should, of course, know how to solve any problems that appeared on one of the in-class exams.

The topics of Newton's method and antiderivatives will receive some extra weight on the final exam, since they have not already been covered on an in-class exam.

The following will not appear on the exam: difficult or complicated applications of the epsilon-delta definition of limit, the definition of continuity, the book's limit "laws", the exponential function e^x, inverse functions, derivatives higher than the second derivative, solving differential equations, planes in 3-dimensional space, approximation of functions using polynomials, sequences and their convergence behavior, the reasoning used to establish the Extreme Value Theorem, the reasoning used to establish the Mean Value Theorem using the Extreme Value Theorem, inverse trigonometric functions, Rolle's theorem (other than as a case of the MVT), verifying limits as x ---> \infty using the precise definition of limit, slant asymptotes.