Difference between revisions of "Calculus II"
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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 all polynomials (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 arclength and surface area/volume of a rotated curve. Finally, you'll play around with series for the last bit of the semester. | 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 all polynomials (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 arclength and surface area/volume of a rotated curve. Finally, you'll play around with series for the last bit of the semester. | ||
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Revision as of 02:38, 27 December 2004
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 arclength and surface area/volume of a rotated curve. Finally, you'll play around with series for the last bit of the semester.
