The final will be comprehensive, though there will be some extra weight on the parts of Chapter 16 that was not covered on Midterms 2 and 3. Also, given the cumulative nature of this course, many concepts from earlier chapters are used in Chapter 16. For instance, finding the equation of the tangent plane to a parameterized surface requires basics about planes and cross products (Sections 12.4 and 12.5) and partial derivatives (Section 14.3). Sometimes, such more elementary concepts will have their own questions, and sometimes they will be tested only as components of questions from Chapters 15 and 16.
You should expect about twice as many problems as on one of the midterms, but you will have three times as long to complete the exam. The problems themselves will be similar in difficultly to those on the midterms.
Working additional problems from the text is the recommended way to prepare for the exam, as is doing the problems from the worksheets that you didn't get to in section. A key resource is the excellent list of review problems at the end of each chapter, including quick concept checks and a true/false quiz. So that you can check your answers, here are solutions to some of the even review problems: Chapters 12, Chapters 13, Chapters 14, Chapters 15, and Chapters 16. Solutions to any problem in WebAssign are available there for any assignment whose due date has past.
Here are the exams from the last two years, with solutions.
If you have a conflict with the exam time, please email me
the course name and instructor of the other class and I will
put you down for the conflict exam. The conflict exam will be
Saturday, Dec 15 from 1:30pm–4:30pm in room 1002 of
Lincoln Hall. Please note that this is not the Main Theater
where the midterms have been held, but a smaller room on the first
floor of Lincoln. The usual tutoring and office hours continue up to and
including Wednesday, Dec 12. After that, there is
Tutoring and office hours:
The usual tutoring and office hours continue up to and including Wednesday, Dec 12. After that, there is