MAT 21B (C01-C07): CALCULUS (Fall 2023)

Final exam information:

Final Exam Time and Place: Tuesday, December 12, 8:00-10:00am in 198 Young (the room, now confirmed, is where our class meets).

Review Session: Monday, December 11, 1:10-3 pm, at 1310 Walker.

Office Hour: I will be available in my office (3210 Math) on Monday, Dec. 11, noon-1pm. Questions on issues other than course material will have priority during this office hour. There will be no other office hours during the Finals week. Please discuss with me any outstanding issues by 1pm on Monday, Dec. 11.

Material covered on the final: approximating sums, fundamental theorem of calculus, integrating techniques (substitutions, by parts, partial fractions, trigonometric integrals), areas, arc lengths, volumes and surface areas of solids of revolution, centroids, improper integrals, parametric curves and polar coordinates (graphing, tangents, areas, volumes, arc length). Same trig. formulas as on Midterm 2, and the formula for the distance between a point and a line, will be provided. Not on the exam: trigonometric substitutions (Section 8.4), trapezoidal method, Simpson's method.

For practice, solve the Sample Final. Your priority should be to fully understand problems we did in the lecture, discussion problems, and sample exams problems, so that you can solve similar ones.

Note that Section 11.5 in the book (areas and lengths in polar coordinates) will be on the final, even though it is not listed on the syllabus. For additional practice problems from Chapter 11 look at Chapter 11 Practice Exercises, e.g., 13-22, 37-54. (Don't attempt to do all these - select a few at random and solve them if you need extra practice.) Similarly, Practice Exercises from Chapter 5 (11-34, 43-112, 121-128), Chapter 6 (7-24, 33-36), and Chapter 8 (1-28, 37-44, 53-116) are a good source for practice problems for earlier material.