Chapter 5 - The Definite Integral

We have explored how to find the slope of any curve and many applications of knowing that rate of change. That was the first half of the Big Ideas of Calculus. Chapter 5 starts us on the path to the other Big Idea of Calculus - Integrals (definition to come soon!)

Post Ch 4 Test, enter a version of the RAM program (or look up a fancier one online - for

           example riemann.zip at http://www.ticalc.org/pub/83plus/basic/math/calculus/ -

           and download it right into your calculator)

12/14  5.1  Estimating with Finite Sums (RAM)
                  HW p.270/4-9,15,18,23-25,29,31-40
12/16  5.2  Riemann Sums -> Definite Integrals
                  HW p.282-283/3-39 by 3's, 47-56
12/17  5.3  Rules for Definite Integrals
                  HW p.290-291/1-17
12/18  5.3  Derivatives of Definite Integrals
                  HW p.291-293/19-37 odd, 38, 39, 41, 45-51 odd

12/21  5.4  Fundamental Theorem of Calculus
                  HW p.302-303/3-48 by 3's
12/23  5.4  Fun Activity using Calculus

12/24 - 1/3 Christmas Break (Rest and Enjoy!)

1/04  Review what we know so far
         HW p.315-317/1-4,6-9,12,13,35-38,46
1/06  More with the Fundamental Theorem of Calculus (5.4)
         HW p.302-305/10,11,16,17,19,20,29,31,35,43,46,58-61,73,75
1/07  Trapezoidal Rule (5.5)
         HW p.312-314/1-9 odd,10-12,20,39
1/08  Simpson's Rule and Review
         HW finish handout

1/11  Review Day 1
         HW p.316-319/15-30 by 5's,33,54,56,58-60
1/13  Review Day 2 - Extension Problems
         HW finish handout solutions
1/14  Half-day, no class  B A G F
1/15  Test of Ch 5, End of Term 2

1/18  Martin Luther King Day, no school

Here are the solutions for the Chapter 5 questions.