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	The length along a curve if it were to be straightened out.
Convergent Series	A series for which partial sums become arbitrarily close to some fixed number.
Exponential Growth	The increase in a quantity according to an exponential function.
Harmonic Series	The sum of the reciprocals of the positive integers. This series diverges.
Maclaurin Series	A Taylor series expansion of a function around zero.
Power Series	A sum of powers of a variable. A power series is essentially an infinite polynomial.
Radius of Convergence	Half the width of the interval inside which a power series converges absolutely.
Ratio Test	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	The power series of a function around a given point. MathWorld