Math 21B Final Exam information
Fall Quarter, 2019
Exams from previous years
final exam from 2010
solutions
(Error: in the solution to problem 3, the 1/2 on the
top line should be 1/4. In the next lines the 1/4 should be 1/8. In
the solution to problem 11, the pluses starting on the third line
should be minuses, and the answer is 8/3)
Final Exam
Tuesday, December 10, 10:30am-12:30pm in 293 Kerr Hall. It covers sections 4.8,
5.1-5.6, 6.1-6.6, 7.1,7.2, 8.1-8.4, 8.7, 11.1 and 11.2 of the text,
and all nine homework assignments. Topics: antiderivatives, area and
estimating with finite sums, sigma notation and limits of finite
sums, the definite integral, fundamental theorem of calculus, substitution, area
between curves, volumes using cross-sections, volume using
cylindrical shells, arc lengths, areas of surfaces of revolution,
work, densities, logarithms, exponential change and separable
differential equations, integration by parts, trigonometric
integrals, trigonometric substitution, partial fractions, improper
integrals, calculus with parametric curves.