 TOPICS   # 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 Arc length is the length along a curve if it were to be straightened out. Convergent Series A convergent series is a series for which partial sums become arbitrarily close to some fixed number. Exponential Growth Exponential growth is the increase in a quantity according to an exponential function. Harmonic Series The harmonic series is the slowly divergent sum of the reciprocals of all positive integers. Maclaurin Series A Maclaurin series is a Taylor series expansion of a function around zero. Power Series 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. Ratio Test 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. Taylor Series A Taylor series is a power series of a function around a given point.