The final exam is CUMULATIVE, that is, it covers all the material from the first day of class onwards. Specifically, this is Chapters 1 through 4, excluding sections 1.4, 1.7, 3.9, 4.4 and 4.7. Approximately 25% will cover material from Sections 4.3, 4.5, 4.6 and 4.8. You should go over homework problems, the midterm exams, quizzes and your class notes. Many of the problems and questions we discuss in class are excellent examples of test questions.

Click here for some sample final exam questions (PDF File). Click here for the sample final exam solutions.

The solutions to your WebAssign problems on any homework assignment can be seen by clicking "View Key" near the top of each assignment. I have listed several practice problems for Sections 4.3, 4.5, 4.6 and 4.8 on WebAssign titled ``Final Exam Review Problems.'' You can do practice problems from the other sections on WebAssign using the Exam 1, Exam 2 and Exam 3 review problems previously posted.

I have also listed some sample problems from the Chapter 4 Review below. The odd answers are in the back of the book while the evens are listed here. For other questions, see the previous exam review sheets: Exam 1, Exam 2, Exam 3. Note that some sections are poorly covered by the problems in the Chapter Review Exercises. The Concept-Check at the end of each chapter (before the exercises) is also a source for good questions.

The exam will be designed to take two hours (twice the length of a midterm) although you will have the full 2.5 hours to complete the exam.

**Final Exam Review Session:** Tuesday, Dec. 10, 7:30 - 9:30 pm in Swords 302, led by our TA
Meg Norton.

Please come prepared with specific questions.

** Note:** You will be allowed a scientific calculator for the exam which does NOT have graphing
capabilities. Please bring your own ``certified'' calculator to the exam.

**Chapter 4 Review Exercises, pp. 324 - 326**

Problems: 7, 8, 9, 10, 25, 27, 28, 29, 30, 31, 39, 40, 47, 48b, 51, 53, 55

The answers to the evens are:

8. (a) no asymptotes, (b) increasing on (-3,0),
(0, infinity), decreasing on (-infinity, -3), (c) local min at
f(-3) = -27, no local max, (d) concave up on (-infinity, -2), (0, infinity),
concave down on (-2, 0), inflection points at (-2,-16) and (0,0)

10. (a) vertical asymptotes at x = 1,-1 and horiz. asymp. at y
= 0, (b) decreasing on (-infinity, -1) and (-1, 0), increasing on
(0, 1) and (1, infinity), (c) local min at the point (0,1), no local max, (d)
concave up on (-1, 1) and concave down on (-infinity, -1),
(1, infinity), no inflection points.

28. 0.

30. Infinity.

40. The point is (4,2).

48b. 161 units.