The final exam is CUMULATIVE, that is, it covers all the material from the first day of class onwards. Approximately 15-20% will cover material from Sections 4.3 and 4.6. 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).

The solutions to your WebAssign problems on any homework can be seen by clicking "View Key" near the top of each assignment. A WebAssign review "assignment" (not to be turned in) covering Sections 4.3 and 4.6 has been posted on WebAssign. You can also do practice problems on WebAssign using the Exam 1, Exam 2 and Exam 3 review assignments 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 3 hours to complete the exam.

Final Exam Review Session: Tuesday, Dec. 15th, in Swords 328 from 12:30 - 2:00 pm. Please come prepared with specific questions.

Note: You will be given a scientific calculator for the exam which does NOT have graphing capabilities so be prepared to answer questions without your personal calculator.

Chapter 4 Review Exercises, pp. 324 - 326
Problems:   7, 8, 9, 10, 39, 40, 47, 48b

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.
40.   The point is (4,2).
48b.   161 units.