In class work done in Calculus 2
Fall 2013, Math 104
September, 2013
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8/28/13
Review: approximating area using rectangular sums
8/29/13
Review: The Fundamental Theorem of Calculus, Antidifferentiation, Signed Area, and the Area Between 2 Curves
8/30/13
Derivatives of Inverse Trigonometric Functions; Antidifferentiating by guessing and checking
9/4/13
Integration by Substitution; revisiting integrals from Friday, using substitution rather than guessing
9/5/13
Integration by Parts
9/6/13
Challenging Integration by Parts Problems; Choosing Substitution vs Integration By Parts
9/9/13
Approximating Integrals using Sums (including review of sigma notation and left, right, midpoint and trapezoidal sums)
9/11/13
Approximating Integrals using Sums -- Beginning to think about error bounds
9/12/13
Approximating Integrals using Sums -- Finding Error Bounds, in some cases
9/13/13
Error Bounds on Midpoint and Trapezoidal sums (in some cases); Intro to Volume
Maple file (To download, right or control click on file, save file to your desk top. Then open in Maple.)
9/16/13
Using integration to find Volume - Disks
9/18/13
Using integration to find Volume - Washers
9/19/13
Using integration to find Arclength
9/20/13
Improper Integrals - integrals over unbounded intervals
9/23/13
Improper Integrals - integrals over unbounded intervals; discontinuous integrands
9/27/13
Improper Integrals - discontinuous integrands; the comparison test
9/30/13
Comparison Test; L'Hopital's Rule
Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 1306
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 286-8278
jsklensk@wheatonma.edu
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