Ch 7 - The Indefinite Integral and Differential Equations

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 formula to calculate the slope of a curve anywhere - the slope formula (call it the indefinite slope). The same goes for the integral.  Chapter 6 was on the Definite Integral and Chapter 7 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.

12/07  Ch 6 Test
12/08  Intro to Differential Equations (initial value problems)
           HW p.335-339/1-23 odd, 59, 60, 75-80 and download slope field calculator

12/09  Substitution method undoes chain rule differentiation (this will happen on 12/11 for G-Block)
           HW p.346-348/1 - 39 odd, 69, 77 (the last one will be turned in - be neat)

12/11  Slope Fields (graphical diff. eq) & Euler's Method (numerical diff. eq) (on 12/10 for G-Block)

           HW finish handout and p.335-338/25, 27, 35-47 odd, 51-57 odd, 61, 63, 65

12/14  Integration  Quiz 1;  Changing limits of integration
           HW p.347-348/41, 43, 45, 53-67 odd, 68, 79

12/15  Int  Quiz 2;  Integration by Parts undoes the product rule
           HW p.354-355/1-16, 33, 36, 39, 41

12/16  More (Harder) Integration by parts
           HW p.355-356/17-31 odd, 34, 35, 42, 43, 47-56

12/18  Int Quiz 3;  Higher Powers of Trig Functions (additional notes) and 
           Trig Substitution (additional notes)

           HW p.347, 348/47-52, 81-84 and packet problems 1-3,7,13,17,22,27,34,35,38,39

12/21  Differential Equations by Separation of Variables
           HW from Hughes-Hallett handout/3-42 by 3's, 28, 43-47 (download page 1 and page 2)
12/22  Int Quiz 4;  Exponential Growth and Decay

           HW p.364-368/3-11 odd, 21, 23, 25, 29, 31, 39, 41, 43, 44, 53, 54, 57

12/23  Calculus Jeopardy

12/24-1/3  Christmas vacation (just for fun, watch this!)

01/04  Recap
           HW finish handout

01/05  Partial Fraction Decomposition

           HW handout problems 7-31 odd, 41, 43, 45, 47-50 
           (see textbook p.369-371/1-14, 47, 48 for more practice)
           Longterm HW Mixed Integrals Worksheet (finish by January 15th)

01/06  Logistic Functions

           HW p.375-377/15-35 odd, 36, 37, 44-46

01/08  Int Quiz 5;  Laplace Transforms (Day 1 - Intro)

           HW finish problems in handout 

01/11  Laplace Transforms (Day 2 - Additional Transforms) 
           HW finish problems in handout

01/12  Int Quiz 6;  Laplace Transforms (Day 3 - Applications)

           HW finish application problems in handout (some answers included)
01/13  Wrap-up of integration techniques and solving differential equations

01/14  Half Day B A G F

01/15  Ch 7 Test, End of Term 2

01/18  Martin Luther King Day