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. |