Thursday, February 28, 2013

Series Part 1

We are starting Chapter 9 - the study of infinite series. The first test is on sections 9.1-9.3 plus two handouts of sections from the Hughes-Hallett Calculus book. 

3/01  9.1  Infinite series, power series, intervals of convergence
               HW p.481-482/1, 2, 3-35 odd, 48-53

3/04  9.1  Finding series that represent functions
               HW p.482-483/54-61, 63-65, 72;  read p.484-488; do Explorations 1 and 2

3/05  9.2  Taylor and Maclaurin series
               HW p.492-493/1, 3, 5-18, 20-24, 26, 27, 32, 33, 36, 43
3/07  HH   10.3  Finding and using Taylor series  (Half Day - C B H F)
               HW handout/1-22
3/08  Snow Delay - no class, the whole schedule pushes one day

3/11  9.2  More with Taylor series
               HW p.492-494/25, 28, 30, 31, 34-36, 44  and p.500/1-10
3/12  HH 10.4 The Error in Taylor Polynomial Approximations/ 1- 14 except 3
3/14  Extra Problems  HW finish handout
3/15  Review


3/18  Series Approximation Test


Monday, February 4, 2013

Ch 10: Polar and Parametric Calculus

Chapter 10 is calculus with parametric, vector and polar curves.  Here is the proposed syllabus for the rest of the chapter.  Snow days (and any discretionary decisions on my part) may change things.

2/05  10.1  Parametric Review
                 HW p.535-537/1-15 odd, 18-33 by 3's, 35, 36, 39-44, 57, 59
2/07  10.2  Vector Calculus
                 HW p.545/3-24 by 3's, 25, 26, 27-35 odd
2/08  10.2  Vector-Valued Functions SNOW DAY (but I already taught you what you need to know...)
                 HW p.546-547/37-49 odd, 57-60

2/11  10.3  Polar Review
                 HW p.557-558/1-37 odd
2/12  10.3  Derivatives of Polar Curves
                 HW handout problems 54-66, 68, 75, 76, 81, 82 plus text p.558/39-42, 71 if you need more practice 
2/14  10.3  Polar Area
                 HW p.558/43-60
2/15  10.3  Polar Curve Length and Surface Area

2/16-24  February Break


2/25  Recap and Review of Parametric and Polar Caluclus
                 HW Sheet of problems from the Calculus book by Larson
2/26  AP and Extra Problems (answer key to Extension problems)
2/28  Ch 10 Test  
 


Saturday, February 2, 2013

A couple of notes...

I want to remind you that, in addition to all of the geometry applications of integration, the chapter started with the fact that integration is net change.  Don't forget to study that.

Secondly, here is the answer key to the review/extension sheet of problems.  You can email me if you have any questions.