Ch 3 - The Derivative

This the the syllabus up to the next test.

9/21  Introduction to Differentiation HW do p.107/1-12

9/22  3.1 Finish up the intro HW p.107-110/19, 20, 22-24, 26, 27, 32-34, 42, 44 plus nDeriv Worksheet

9/23  Yom Kippur - no school
9/25  3.2 Continuity, Local Linearity, etc. HW p.116-117/4-12 by 4's, 13, 14, 31-33, 35-37, 39 plus Smoothness Worksheet
9/25  G-Block will do the nDeriv and Smoothness worksheets in class on Friday, section 3.2 on Thursday

9/28  3.3 Rules of Differentiation  HW p.126/3-21 by 3's, 13, 14, 23, 27-35 odd, 39, 41

9/29  3.3 Proofs of Rules  HW p.126-128/42-49, 50-59

9/30  3.4 Rates of Change  CW p.140-142/31,32,35,49  HW p.137-142/1,3,5,8-13,18-20,24-29, 46-48, 50

10/2  3.5 Trig Differentiation  CW p.148-149/24-26,50,51  HW p.147-149/1-9 odd,17-23 odd,27-31,33,36,37,39-42

10/5  Review (all questions answered) (Review Worksheet with Answer Key)

10/6  Test of Ch 3
         HW read 4.1, do p.160/1-27 odd

Upcoming "events"
9/30 Back to School Night
10/9 Professional Development Day - no school
10/12 Columbus Day - no school
10/14 PSAT Day - altered schedule

Chapter 2 - Limits and Continuity

Chapter 1 is prerequisite material that you are expected to remember so we will start with chapter 2...

Here is the plan for the whole chapter (to infinity and beyond!).  

9/03  Introduction to Calculus: slope of curves, area under curves

9/07  Labor Day - no school

9/08  Limits Handout to remember: what they are, notation, rules for operations, ways of finding limits
              HW Worksheet of limit problems and a Squeeze Theorem Proof

9/10  2.1 Limit of Composed Functions, substitution
              HW finish worksheet and p.68/65-68, read section 2.2     
9/11  2.2 Horizontal & Vertical Asymptotes, End Behavior
              HW p.76-77/1, 3, 5, 9-12, 15-55 odd, 65, 67, 69, 70

9/14  Rosh Hashanah - no school

9/15  2.3 Continuity, 4 Kinds of Discontinuities and the IVT

               HW p.84-86/1, 3, 8-11, 14, 15, 17-29 odd, 38-44, 47, 50-52, 60-62

9/17  2.4 Rate of Change and Tangent lines   Half Day C B A G
               HW p.93-96/3-21 by 3's, 47, 49, 50, 53-55

9/18  2.4 and Review  (Answer Key for Extra Rate-of-Change Problems)
               HW (suggested) p.97-99/3-15 by 3's, 16-24, 30, 33, 39-42, 45, 47, 48, 54

9/21  Ch 2 Test (list of topics)

               HW read section 3.1, do p.107/1-12
9/23  Yom Kippur - no school

Welcome!

I would like to welcome you to the fast paced world of BC Calculus.  Together we will go through a year of college calculus in a year of high school.  Calculus is the study of change and we will look at how many functions change and how we can apply these ideas to real problems.  Enjoy (and keep up with your homework!)!!