Ch 6 - The Indefinite Integral

Just as we sometimes want to know the slope of a curve at a certain point (call it the definite slope), we also want to know the slope of a curve just anywhere - the slope formula (call it the indefinite slope). Well, the same goes for the integral.  Chapter 5 was on the Definite Integral and Chapter 6 is on the Indefinite Integral.  We will learn how to find it algebraically, graphically and numerically (of course). The algebraic portion will take some time and you will be subjected to almost daily quizzes to make sure you are getting it.

Note:  We will not be able to finish this chapter before Christmas break.

12/02  Intro to Differential Equations (initial value problems)
          HW p.327-330/1-23 odd, 65-70

12/03  Math Department Professional Development - no class

12/04  Slope Fields (graphical diff. eq) & Euler's Method (numerical diff. eq)
          HW finish handout and p.328-329/41-49 odd, 51-58
12/06  Substitution method undoes chain rule differentiation
          HW p.337-339/1 - 39 odd, 69, 77 (the last one will be turned in - be neat)

12/09  Integration  Quiz 1;  Changing limits of integration
          HW p.338-340/41, 43, 45, 53-67 odd, 68, 79

12/10  Int  Quiz 2;  Integration by Parts undoes the product rule
          HW p.346-347/1-16, 33, 36, 39, 41

12/11  More (Harder) Integration by parts
          HW p.347-348/17-31 odd, 34, 35, 43, 47-56

12/13  Int Quiz 3;  Higher Powers of Trig Functions and Trig Substitution (additional notes)

          HW p.338, 340/47-52, 81-84 and packet problems 1-10

12/16  Differential Equations by Separation of Variables
          HW from Hughes-Hallett handout/3-42 by 3's, 28, 43-47

12/17  Int Quiz 4; Exponential Growth and Decay

          HW p.357-361/8, 11, 13, 19, 29, 31, 33, 36, 39, 41-44, 53, 54, 58

12/18  Int Quiz 5;  Partial Fraction Decomposition
          HW handout problems 7-31 odd, 41, 43, 45, 47-50 (see book p.369-371/1-14, 47, 48 for more practice)
12/20  Longterm HW Mixed Integrals Worksheet (finish by January 10th)

12/21-1/2  Christmas vacation 

01/03  Snow Day

01/06  Recap and Logistic Functions

          HW p.369-371/15-35 odd, 36, 37, 44-46
01/07  Int Quiz 6; Laplace Transforms (Day 1 - Intro)

          HW finish proofs in handout

01/08  Laplace Transforms (Day 2 - Technical Skills)

          HW finish problems in handout
01/09  Half Day B A G F

01/10  Laplace Transforms (Day 3 - Applications)

          HW finish application problems in handout

01/13  Wrap-up of integration techniques and solving differential equations
01/14  Ch 6 Test
           HW 7.1  Integration as Net Change p. 386/1-11 odd, 12-16, 17-21 odd

01/17  End of Term 2