The Definite Integral (Chapter 5)

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.

11/07  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)

11/10  Area and Riemann Sums (5.1, 5.2)

           HW p.270-273/1, 4-12, 17, 19, 26, 29-36, 38, 39 (note, problem 6 refers to 5b, not 1b)

           and  p.282-283/9-27 by 3's
11/11  Veterans' Day - no school

11/13  Defining the Definite Integral and looking at Integration Properties (5.2, 5.3)

           CW Explorations on  p. 267 & p.279  HW p.283-284/33-39 odd, 47-51 odd  and p.290-291/1-6

11/14  Average Value and the Mean Value Theorem for Integrals (5.3)

           HW p.291-292/7-10, 14-18, 37-42, 47

11/17  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

11/20  More problems to practice (5.4 though the CW problems are from another book)

           HW p.303-305/55-64, 68-71, 73, 75-79

11/21  Trapezoidal Rule (5.5)

           HW p.312-314/1, 3, 5-7, 9-11, 20, 21, 27, 30, 39

11/24  Simpson's Rule (5.5)

           HW finish handout
11/25  Review and Extension (handout with answer key)

11/26  Half-day A C F H

11/27  Thanksgiving

11/28  Black Friday

12/01  Parent Conferences

12/02  Ch 5 Test of the Definite Integral