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.
11/13 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)
11/15 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
11/16 Defining the Definite Integral and looking at Integration Properties (5.2, 5.3)
HW p.283-284/33-39 odd, 47-51 odd and p.290-291/1-6
11/19 Average Value and the Mean Value Theorem for Integrals (5.3)
HW p.291-292/7-10, 14-18, 37-42, 47
11/20 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
11/21 Half-day A C F H
11/22 Thanksgiving
11/23 Black Friday
11/26 Derivatives of Integrals with the Chain Rule (5.4)
HW p.302-303/3-24 by 3's, 45-54
11/27 More problems to practice (5.4)
CW/HW p.303-305/55-64, 68-71, 73, 75-79
11/29 Trapezoidal Rule (5.5)
HW p.312-314/1, 3, 5-7, 9-11, 20, 21, 27, 30, 39
11/30 Simpson's Rule (5.5)
HW finish handout
12/03 Recap and Review
12/04 Review and Extension
12/06 Ch 5 Test of the Definite Integral
