NOTE
The following problems are meant to help you study for the final exam on
Thursday, May 5, from 8 a.m. to 10 a.m. All of these problems involve
important concepts we studied throughout the semester. It is more important
that you understand these concepts. There are many more problems in the book that
will be helpful in studying for the final as well. The best advice I can give is to
practice, and to make sure you understand the concepts involved in a problem, not just
how to solve it. For example, suppose a problem asks you to use the definition of the
derivative. It will be very beneficial to understand where this formula comes from
and what it means, rather than just memorizing it. Finally, if you have any questions,
please don't hesitate to ask. You can always email me and we can schedule a meeting
to discuss concepts or problems. I wish you the best on all of your finals!
Final Review Problems (not to be turned it)
Chapter 1 (Limits)
Section 1.1, Problems 3,7,29,31
Section 1.2, NOT ON FINAL
Section 1.3, Problems 7,13,27
Section 1.4, Problems 5,7,14 (the answer is 1, why?)
Section 1.5, Problems 3,27,33
Section 1.6, Problems 11,19
Chapter 2 (Derivatives)
Section 2.1, Problem 11
Section 2.2, Problems 5,7, (for #'s 5 and 7, use the definition of the derivative!) 27,35
Section 2.3, Problems 9,27,39 (simplify completely)
Section 2.4, Problems 1,7,11 (simplify completely)
Section 2.5, Problems 1,9,11,27,47,49,53,55
Section 2.6, Problem 23 (don't worry about part (e))
Section 2.7, Problems 5,15
Section 2.8, Problems 1,7 and Examples 1,2,4
Section 2.9, NOT ON FINAL
Chapter 3 (Applications of the Derivative)
Section 3.1, Problems 5,17
Section 3.2, Problems 3,13,19
Section 3.3, Problems 1,19,31
Section 3.4, Problems 8,9,11,13
Section 3.5, Problems 1,9
Section 3.6, Know the Mean Value Theorem for Derivatives, Problems 3,17
Section 3.7, NOT ON FINAL
Section 3.8, See problems for section 4.4
Section 3.9, NOT ON FINAL
Chapter 4 (Integration)
Section 4.1, Example on pp. 219-221, Problems 53,55
Section 4.2, Definition of the definite integral (p. 226), 7,9,11,17
Section 4.3, Problems 11,17,19,21,23,29
Section 4.4, Problems 5,15,17,37,47,55,59
Section 4.5, Problems 17,21,35
Section 4.6, NOT ON FINAL
Chapter 5 (Applications of Integration)
Section 5.1, Problems 11,19
Section 5.2, Problems 3,8,13,19
Section 5.3, Example 4, Problems 13,15