Tuesday, February 25, 2014

Series Part 1 - Finding Series to model functions

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. 

2/26  9.1  Infinite series, power series, intervals of convergence
               HW p.481-482/1, 2, 3-35 odd, 48-53
2/28  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

3/03  9.2  Taylor and Maclaurin series
               HW p.492-493/1, 3, 5-18, 20-24, 26, 27, 32, 33, 36, 43
3/04  HH   10.3  Finding and using Taylor series
               HW handout/1-22
3/05  9.2  More with Taylor series
               HW p.492-494/25, 28, 30, 31, 34-36, 44  and p.500/1 - 10
3/07  HH 10.4 The Error in Taylor Polynomial Approximations/1 - 14 except 3

3/10  Extra Problems  HW finish handout (answer key)
3/11  Review (more extra problems plus 2 AP problems - answer key)
3/12  Series Approximation Test
        HW read pp.459-462 (Horizontally Improper Integrals)
3/13  (Half Day - C B H F)

Sunday, February 2, 2014

Ch 10 - Calculus for Parametric and Polar Functions

Chapter 10 is calculus with parametric, vector and polar curves.  Here is the proposed syllabus for the rest of the chapter.

2/03  10.1  Parametric Review with Calculus
                 HW p.535-537/1-15 odd, 18-33 by 3's, 35, 36, 39-44, 57, 59
2/04  10.2  Vector Review (Half-Day for Parent Conferences B A G H)
                 HW p.545/3-24 by 3's
2/05  10.2  Vector Calculus (Snow Day - give it a try, I will answer questions next week)
                 HW p.546-547/25, 26, 27-49 odd, 57-60
2/07  10.3  Polar Review  (I will be out taking a course - last day)
                 HW p.557-558/1-37 odd

2/10  10.3  Derivatives of Polar Curves
                 HW handout of Stewart problems 54-66, 68, 75, 76, 81, 82 
                       plus text p.558/39-42, 71 if you need more practice 
2/11  10.3  Polar Area
                 HW p.558/43-60
2/12  10.3  Polar Curve Length and Surface Area
                 HW handout of Larson problems 41-43, 45-49, 51, 53-60, 62, 63
2/14  Extra Problems (answer key to Extension problems)

2/15-23  February Break

2/24  Recap and Review of Parametric and Polar Caluclus
                 HW AP Problems
2/25  Ch 10 Test