MAT 21A: CALCULUS (Winter 2024)

Final exam information

Final Exam Time and Place: Monday, March 18, 1:00pm-3:00pm, 1001 Geidt (the room where our class meets). Bring a pencil and your university ID!

Review Session: Sunday, March 17, 1:00pm-3:00pm, 3 Kleiber.

Extra office hour: Friday, March 15, 4:10-5pm, at my office (3210 Math). Questions on issues other than the course material will have priority during this OH. You need to let me know of any special circumstances by 5pm on March 15. There will be no OHs during Finals week.

Material covered on the final: Functions (e.g., odd/even, one-to-one, composite, continuous, differentiable functions), limits, asymptotes, continuity, derivatives (first, second), tangents, velocity and acceleration, derivative rules, implicit differentiation, related rates, maxima and minima, first and second derivative tests, concavity, curve sketching, applied optimization problems, L'Hopital's rule. Also expect some theoretical questions, e.g., on applications of mean value theorem, intermediate value theorem, etc.

For practice, solve the latest sample Final. Look at other sample exams in course materials for more practice.

As already announced, there will be no epsilon-delta problems (Section 2.3 in the book) on the final, no linearization and differential (Section 3.11), and no Newton's method (Section 4.7).

Problems from Chapter 4 will form the bulk of the final exam. That chapter's Practice Exercises (pgs. 292-296) offer some more practice problems, e.g., 1-28, 31-33, 43-110. (I do not recommend you try to do all these - select some at random and solve them if you need extra practice.) You will not be surprised by anything on the final exam, but some of these problems are by nature less routine, so be prepared to think.

There is not need to be stressed out; calmly prepare and do as best as you can. Let me worry about your grade.