Wednesday, November 6, 2013

Chapter 5 - The Definite Integral


We began looking at anti-derivatives in the last chapter, now we will look more closely and formally.  We need some new vocabulary, starting with another verb for finding the anti-derivative: integrating.

11/06  Post Ch 4 Test, enter a version of the RAM program (or look up a fancier one online - for
           example rsum.zip or riemann.zip at http://www.ticalc.org/pub/83plus/basic/math/calculus/ -
           and download it right into your calculator)
11/08  Area and Rectangular Approximation Methods (5.1)
           HW p.270-273/1, 4-12, 17, 19, 26, 29-36, 38, 39 (note, problem 6 refers to 5b, not 1b)

11/11  Veterans' Day - no school
11/12  Riemann Sums and Defining the Definite Integral (5.2)
           HW p.282-284/9-27 by 3's, 33-39 odd, 47-51 odd
11/13  Integration Properties, Average Value and the Mean Value Theorem for Integrals (5.3)
           HW p.290-292/1-10, 14-18, 37-42, 47
11/15  The Fundamental Theorem of Calculus and Antiderivatives (5.3, 5.4)
           HW p.291-292/19-35 odd, 49, 51 and p.303/27-43 odd

11/18  Derivatives of Integrals with the Chain Rule (5.4)
           HW p.302-303/3-24 by 3's, 45-54
11/19  More problems to practice (5.4)
           CW/HW p.303-305/55-64, 68-71, 73, 75-79
11/20  Trapezoidal Rule (5.5)
           HW p.312-314/1, 3, 5-7, 9-11, 20, 21, 27, 30, 39
11/21  Professional Development - no school
11/22  Review and Extension

11/25  Simpson's Rule (5.5)
           HW finish handout
11/26  Ch 5 Test of the Definite Integral
11/27  Half-day A C F H
11/28  Thanksgiving
11/29  Black Friday