Derivatives (the start of the enormous Ch 3)

Here is the proposed syllabus for the first four sections of
Chapter 3.  The dates may change but the ideas will remain
the same.  Assignments will be added later.

 9/28  The Derivative (definition, notation, calculation, graph)
           HW p.102-104/15-27 odd

 9/29  More practice
           HW - none for Yom Kippur

10/03  Smoothness and Numerical Derivative
             (also, Student Survey in Computer Lab)
             HW finish packet plus other listed problems

10/05  Differentiability (section 3.2)
             (also Back-to-School Night)

10/06  Rules of Differentiation (section 3.3)

10/10  Velocity and other Rates of Change (3.4)

10/12  Review ideas so far

10/13  Quiz on 3.1-3.4

Winding up Chapter 2

We finished up the computer lab after a day (good job) so we got
more limits practice before the final ideas and the test.

9/21  Pull together ideas about limits and rates
           HW Limits Practice Worksheet

9/22  Rates of Change: Tangents and Normals
           CW p.87-89/3,6,7-33 odd

9/25  Review Problems
           (assigned in class from pp.90-93)

9/26  Chapter 2 Test

Continuity

Section 2.3 deals with Continuity - in both intervals and
entire functions (be careful with the definition of a
continuous function - look at its domain!).

9/15  CW p.77/Exploration;  p.81/31, 32
           HW p.80-81/3-33 by 3's

9/18  CW p.81/45
           HW p.81/34-44, 49

9/19  Computer Lab in room 700
           (see link on lhs.lexingtonma.org/Teachers/Haupt)

To Infinity and Beyond

Section 2.2 uses limits to find horizontal and vertical
asymptotes (either x goes to infinity or y goes to infinity).

9/12  CW Exploration p.68
           HW p.71-72/1-10,13,14,23-27 odd

9/14  CW p.72-73/50,54
           HW p.72-73/18-28 even,33-39 odd,43,47,49,53

Initial Homework

We started the year with some problems that will illustrated our
approach for the year.  The first homework was a linear warm-up.

9/07   p. 7/9,14,15,20,32

We have moved on to limits (Chapter 2)  The initial section (2.1)
covers the idea of limits and various ways of finding them.

9/08  p.62-63/2,4,6,9-31 odd,33-36
9/11  p.63-64/37-40,43-61 odd, finish 63

The plan is to spend two days on 2.2, two days on 2.3, two days in
the computer lab, a day on 2.4, a day on review problems and have
an assessment on Tuesday, 9/26.  This may change but not much.

Welcome!

Calculus is fun and heavily used in engineering and business applications. It is all about change so it is a different way of thinking about math. Enjoy!