Calculus

Rules, Definitions, Theorems about limits, derivatives, and integrals

• epsilon-delta definition of limit
• L'Hôpital's Rule; Cauchy's mean value theorem; http://home.iitk.ac.in/~psraj/mth101/lecture_notes/lecture7.pdf
• Use CMVT to prove L'Hopital. Notice that L'Hopital can handle a few cases, whereas the 0/0 case is the generic one.
• Integration by parts (indefinite form & definite form).

Textbook

• Don't use Thomas' Calculus It has disgusting arrangement of content, and it is only for non-math-major students.

Created Date: Feb 19, 2011 9:05:00
Last Modified: Mar 19, 2011 21:14:01