- To be announced

Location depends on your discussion section.

- To be announced

- Comprehensive: All of Chapters 12, 14, 15, and 16 as well as Sections 13.1–13.3.

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.

Here are some past exams, with solutions.

- 2018: Exam. Solutions.
- 2016: Exam. Solutions.
- 2012: Exam. Solutions.
- 2011: Exam. Solutions.
- 2010: Exam. Solutions.

If you have a conflict with the final exam time, please consult the university policy on final exams. Based on that, if you think your situation qualifies you to take the conflict exam, please fill out this webform no later than Monday, December 9. The main conflict exam will be held at a time to be announced.

The usual tutoring and office hours continue up to and including Wednesday, Dec 11. After that, there is:

- To be announced