Topics in a Calculus II Course
To learn more about a topic listed below, click the topic name to go to the
corresponding MathWorld classroom page.
||Arc length is the length along a curve if it were to be straightened out.
||A convergent series is a series for which partial sums become arbitrarily close to some fixed number.
||Exponential growth is the increase in a quantity according to an exponential function.
||The harmonic series is the slowly divergent sum of the reciprocals of all positive integers.
||A Maclaurin series is a Taylor series expansion of a function around zero.
||A power series is a sum of powers of a variable. A power series is essentially an infinite polynomial.
|Radius of Convergence
||The radius of convergence of a power series is half the width of the interval inside which it converges absolutely.
||The ratio test is a test for determining whether a series converges. It is used for calculating the radius of convergence for power series.
|Surface of Revolution
||A surface generated by rotating a two-dimensional curve about an axis.
||A Taylor series is a power series of a function around a given point.