Friday, February 27, 2015

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. 

3/02  9.1  Infinite series, power series, intervals of convergence
               HW p.481-482/1, 2, 3-35 odd, 48-53
3/03  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
3/06  HH  10.3  Finding and using Taylor series
               HW handout/1-22

3/09  9.2  More with Taylor series
               HW p.492-494/25, 28, 31, 34-36, 44  and p.500/1 - 10
3/10  HH 10.4 The Error in Taylor Polynomial Approximations/1 - 14 except 3
3/12  (Half Day - C B H F)
3/13  Extra Problems  HW finish handout (answer key)

3/16  Review (more extra problems plus 2 AP problems - answer key)
3/17  Series Approximation Test
        HW read pp.459-462 (Horizontally Improper Integrals)

MCAS on Tues, 3/24 - Thur, 3/26
Term 3 Ends on Friday, 3/27

Thursday, February 5, 2015

Vector, Parametric and Polar Calculus (Chapter 10)

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

2/06  10.1  Parametric Review with Calculus
                 HW p.535-537/1-15 odd, 18-33 by 3's, 35, 36, 39-44, 57, 59

2/09  SNOW DAY
2/10  10.2  Vector Review with Calculus
                 HW p.545-547/3-24 by 3's, 25, 26, 27-49 odd, 57-60
2/12  10.3  Polar Review with Calculus
                 HW p.557-558/1, 3-36 by 3's, handout of Stewart problems 54-66, 68, 75, 76, 81, 82 
                       plus text p.558/39-42, 71 if you need more practice 
2/13  10.3  Polar Area (and Singing Valentines?)
                 HW p.558/43-60

2/14-22  February Break

2/23  10.3  Polar Curve Length and Surface Area
                 HW handout of Larson problems 41-43, 45-49, 51, 53-60, 62, 63
2/24  Extra Problems (answer key to Extension problems)
2/26  Review of Parametric/Vector and Polar Caluclus
                 HW AP Problems
2/27  Ch 10 Test