This chapter is about different ways to use calculus (both differentiation and integration) to solve problems. We start by working with Indefinite Integrals (integrals without limits of integration) and move on to solving equations that have derivatives in them. After working through several integration techniques (analytical, graphical and numerical) we tackle modeling problems that include the derivative. The syllabus below can change (especially the homework) but it's a start so that you can make sure that you are keeping up.
11/21 6.1 Indefinite Integrals
HW p.312-314 1-23 odd, 45-47, 52
11/27 6.1 Differential Equations
HW p.312-315/25,26,31-41 odd,51,53,55,60,61,62,67
11/28 Professional Development Day - no school
11/29 6.2 Integration by Substitution
HW p.321-322/1-12,15-19,21,22,28
11/30 6.2 Changing limits of Integration
HW p.322-323/13,14,23-27,29-38,45-48,50,51
12/04 6.2 Separation of Variables
HW handout/3-33 by 3's,35,36,39-41
12/05 6.3 Integration by Parts
HW p.328-329/1-4,9,11,15,19-24,27,29
12/06 6.3 Circular Integration by Parts
HW p.328-329/13,14,17,18,25,28,30,35-37
12/07 8.4 Partial Fractions (you only need examples 1 and 4)
HW p.451-453/1,5,7-12,27,28,30,47
12/11 6.1 and 6.6 Slope Fields and Euler's Method
HW p.313/27-30,43,44,65,66 and Sep of Var Handout/42-47
and p.355/2,3,5,7,9,10,15abc,19,20,23
12/12 6.4 and 6.5 Exponential Growth and Decay
HW p.338-341/1-27 odd,28,29,31,35 and p.347/1,2,5,6,9,15,16
12/13 6.5 Logistic Functions
HW p.347/3,4,7,8,11-14,17-33 odd
12/14 Wrap-up
12/18 Chapter 6 Test
The last three days before vacation will be spent find area and volume using calculus.