Difference between revisions of "Calculus II"
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==Overview== | ==Overview== | ||
| − | Lots of integration. Also some series | + | Lots of integration. Also some sequences and series. |
==What actually happens== | ==What actually happens== | ||
| − | After taking Calc I, you may think ''I know differentiation and integration, so what else is there to Calculus?'' Until you [[Multivariate Calculus|leave two dimensions]], it's just more integration. You learned how to integrate | + | After taking Calc I, you may think ''I know differentiation and integration, so what else is there to Calculus?'' Until you [[Multivariate Calculus|leave two dimensions]], it's just more integration. You learned how to integrate powers (of base x) except x<sup>-1</sup> already, so now you'll learn x<sup>-1</sup>, more trig functions than you'll ever want to know, a<sup>x</sup>, 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. |
Latest revision as of 22:38, 26 May 2006
Official Description[edit]
Calculus II (17-121)
Topics include sequences and series, approximations, techniques and applications of integration, and plane curves.
Overview[edit]
Lots of integration. Also some sequences and series.
What actually happens[edit]
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, 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 into algebraic expressions and figuring out if and when a series converges.
