Calculus II

From Missouri Academy Wiki
Revision as of 21:15, 18 March 2006 by Chrax (talk | contribs) (It was supposed to be a^x ((a^x)/(ln a)), not e^x. And you convert summations of series, not the series themselves into algebraic expressions. (I've inserted some of your changes, though.))
Jump to navigation Jump to search

Official Description

Calculus II (17-121)
Topics include sequences and series, approximations, techniques and applications of integration, and plane curves.

Overview

Lots of integration. Also some series and sequences.

What actually happens

After taking Calc I, you may think I know differentiation and integration, so what else is there to Calculus? Until you leave two dimensions, it's just more integration. You learned how to integrate all polynomials (of base x) except x-1 already, so now you'll learn x-1, more trig functions than you'll ever want to know, ax, integration by parts, and integration by substitution (if you didn't cover it in Calc I). Then you've got applications such as arc length and surface area/volume of a rotated curve. Finally, you'll play around with series for the last bit of the semester. You learn a lot of neat little tricks for turning series summations into algebraic expressions and figuring out if and when a series converges.


Mathematics:

Precalculus   |   Calculus I   |   Calculus II   |   Multivariate Calculus   |   Differential Equations   |   Discrete Math

Retrieved from "http://masmcwiki.com/mw/index.php?title=Calculus_II&oldid=5247"