Calculus II

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 sequences and series.

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 powers (of base x) except x^-1 already, so now you'll learn x^-1, more trig functions than you'll ever want to know, a^x, 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 into algebraic expressions and figuring out if and when a series converges.