Linearization

After a relaxing round of Limbo (Yeah Lina!! Thanks Tommy!) We jump into Linear Approximations and their errors.

10/26  Handout from another Calculus book, do problems 1-17
10/30  Percent Error and Newton's Method
             HW Handout/18-27 and
                    text p.229-231/11-14, 19-25 odd, 31-45 odd.
                   (Where it says "dx" read as "delta x".)

Optimization

One of the main uses for calculus is to find the optimal point at which to maximize or minimize a quantity. For example, we tend to want to minimize costs and maximize profits.  We may want to maximize volume (biggest box) or minimize surface area (least material). The way to do this is Optimization (section 4.4).

10/23  HW pp.214-217/1,5,7,9,15,17,20,22,25,26,28,32,34,36
10/24  HW pp.217-219/39-43,45,47,49

Looking ahead:  we will spend two days on Linear Approximation (4.5),
two days on Related Rates (4.6) have a half block quiz on Friday,
November 2 for Term 1 and a full block test of all of Chapter 4 on
Tuesday, November 6 for Term 2.

Extrema and Concavity

We talked some more about using the first and second derivatives to understand what the original function looked like.  Make sure you finish the problems we started in class (they are in the book if you didn't do a good job of copying them down). And do the Mean Value Theorem homework!

HW Section 4.3 pp.204-206/8-29 by 3's, 31-39 odd, 41-48

Changing Plans and Starting Chapter 4

With the requests to move the test, here is the new schedule and homework:

10/12  3.9  p.170/19,20,43-46;  p.172/22  and
         4.1  read the section and do p.184/1-25 odd

10/16  4.1 cont. and 4.2 (Mean Value Theorem)
              HW p.184-185/27-35 odd, 36, 37-43 odd, 45-53

10/17  4.2 cont. and Review
              HW (due Friday) p.192-193/3, 5, 9, 13, 15-20,21a, 24a,
                      25-33odd, 36,39, 40, 50, 51a

10/18  Ch 3 Test (whole chapter, emphasis on 3.6-3.9)

Finishing up Chapter 3

Here is the last week plus of homework for the chapter:

10/05   3.7  Implicit Differentiation  
                      HW pp.155-15/3,7,11-37 odd, 40-45

10/09   3.8  Derivatives of Inverse Functions
                       HW pp.156-157/46-51;  p.158/Exploration 1;
                             p.162/1-19 odd, 20

10/10   3.8  More Derivatives of Inverse Functions
                       HW pp.162-163/23-25, 27-35 odd

10/11   3.9   Derivatives of Exponential and Logarithmic Functions
                       HW pp.170-171/1-41 alternate odds, 42,47-50,52

10/12   3.9   Logarithmic Differentiation (and a spot of Review)
                       HW p.170/19,20,43-46;  p.172/22

10/16   Test of Chapter 3
                       HW read section 4.1 and do p.184/1-25 odd

The Chain Rule

The Chain Rule is the formula for taking the derivative of composed functions.

Here are the three homework assignments (with due dates):

10/3  pp.146-147/1-27 odd
10/4  pp. 147-149/33-49 odd, 60-65 and finish classwork
10/5  pp. 148-149/50-58, 66-72 and finish classwork