167-172 Use of the Fundamental Theorem to represent a particular antiderivative, and the analytical and graphical analysis of functions so defined. Antiderivatives following directly from basic derivatives. Finding specific antiderivatives using initial conditions, including applications to motion along a line. Use of Riemann sums and the Trapezoidal Rule to approximate definite integrals of functions represented algebraically, geometrically, and by tables of values. Series are defined as a sequence of partial sums, and convergence is defined as the limit of the sequence of partial sums.
Technology is used to explore convergence or divergence of various examples.
The harmonic series. The ratio test for convergence and divergence. 1999 McDougal Littell Inc. All rights reserved.