Chapter 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.  The [tight] schedule is posted so early because of the post-Ch 5 test homework.

12/02  Ch 5 Test, Anti-derivative homework p.312-314/1-23 odd, 52
12/03  Substitution method undoes chain rule differentiation
           HW p.321-323/1-38, 45-48, 50, 51  all due 12/05
12/04  CW: Bring books to work while many are at the band field trip
12/05  Integration  Quiz 1;  Integration by Parts undoes the product rule
           HW p.328-329/1-4, 9, 11, 15, 19-24, 27, 29

12/09  Int Quiz 2;  More Integration by parts (bring books)
           HW p.329/13, 14, 17, 18, 25, 28, 35-37
12/10  Int Quiz 3;  Partial Fraction Decomposition (8.4, ex 1 & 4 only)
           HW p.451-453/1,4, 6-16, 25, 26
12/11  Int Quiz 4;  Intro to Differential Equations (initial value problems)
           HW p.312-315/25,26,31-41 odd, 51, 53, 55, 60-63, 65, 67
12/12  Int Quiz 5;  Differential Equations by Separation of Variables
           HW from Hughes-Hallett handout/3-33 by 3's, 35, 36, 39-41

12/16  Int Quiz 6;  Exponential Growth and Decay
           HW p.338-341/1-27 odd,28,29,31,35 and p.347-8/1,2,5,6,9,15,16
12/17  Logistic Functions (& put Slope Field program in calculator)
           HW p.347/3,4,7,8,11-14,17-33 odd
12/18  Slope Fields (graphical diff. eqtns) & Euler's Method
           (numerical diff. eqtns) HW p.313/27-30,43,44,65,66
           & p.355-6/2,3,5,7,9,10,15abc,19,20,23 & HH handout/42-47
12/19  Wrap-up of Integration techniques and solving differential equations

12/23  Ch 6 Test

12/24-1/5  Christmas vacation
           (note: Monday, January 5th, is Parent Conferences - no school)

Finishing up Ch 5

The rest of the chapter straddles the Thanksgiving break.

11/25  Trapezoidal Rule (5.5), Review
           HW p.295-297/1, 3, 5-9,1 1, 12, 17 (not d), 22, 23
11/26  Half-Day A C F H    Simpson's Rule
11/27  Thanksgiving

12/02   Chapter 5 Test

The beginning of Chapter 5

This is the proposal.  It might change but I hope not. Chapter 5 is when we start looking at going the other way - e.g. if you start with the derivative, what is the function?  To be ready, you need a rectangular area approximation program in your calculator.  

11/12  HW  Enter RAM program in calculator plus p.229-231/16-18,50,51
11/13  Area and Riemann Sums (5.1, 5.2)
             HW p.254-257/1-5,7,8,10-13,22-26 and p.267/7-27 odd
11/14  Integration and Integral Properties (5.2, 5.3)
             HW p.267-268/29-47 odd  and  p.274-275/1-6

11/18   Average Value of a Function (5.3)
              HW p.275-276/26, 29-42, 46
11/19   Fundamental Theorem of Calculus (5.3, 5.4)
              HW p.275/7-27 odd  and  p.286/1-17 odd
11/20   More tricky integrals with the Fundamental Theorem (5.4)
              HW p.286-287/19-35 odd, 37-46  (bring your book)
11/21   And more...  (5.4, bring your book)
              HW p.287-288/47-56, 60-64

Post-test homework

To be ready for the start of Chapter 5 tomorrow, you need to enter the RAM program in your calculator (a copy of the program is on my desk if you didn't get it).  Also, do the following Newton's Method problems:
p. 229-231/16-18, 50, 51

The rest of the derivative application problems

Here are the rest of the assignments for the derivative applications in Chapter 4 (and a bit of 8)

10/31  Linear Approximation (remember: read the handout, not the book)
            HW handout/1-10,14-17  and  p.229-231/11-14, 52

11/04  Linear Approximation cont. (percent change problems)
            HW handout/11-13  and  p.230-231/31-45 odd
11/05  L'Hopital's Rule (using derivatives to find limits)
            HW p.423-425/1-47 odd, 50, 52
11/06  Related Rates (derivatives with implicit parametrics)
            HW p.237-239/3,5,6,9,11-13,15,18-22,24
11/07  Related Rates cont.  (bring your books)
            HW p.240-241/27,28,30,32,34,35,37,39,40,41

11/11  Veteran's Day - no school
11/12  Proposed date for the test