Curve Length and Surface Area (Cartesian, Parametric & Polar)

We area going to learn how to find the length of a curve and the surface area of a curve revolved around an axis.  We will be doing this with Cartesian (rectangular), Parametric and Polar coordinates. (C-Block dates for all)

3/19  Length of a curve
           HW p.399-400/3-18 by 3's, 22, 23, 25
3/20  Surface area of a curve
           HW p.394/57-64

3/21  Good Friday - no school

3/24  More Practice
           CW/HW Worksheet of problems
3/25  MCAS Schedule - D-block does not meet
3/26  MCAS Schedule - C-block does not meet, D-block 1:35-2:25
           Problem Set #3 due
3/27  MCAS Schedule - C-block 1:30-2:15 (followed by HR)
           Review Vector and Parametric Functions (10.1 - 10.3)
           HW p.518-519/1-9 odd, 25  and  p.537/1-5,7,9,11,15

3/28  Review Quiz #3, End of Term 3

3/31  Curve Length and SA for Parametrics
           HW p.518-9/12,15,18,20,21,23,30  and
           p.537-8/20,21,29,31,33
4/02  Review Polar Curves
           HW p.558-559/1, 3-52 by 3's, 65, 66
4/03  Calculus of Polar Functions (Area)
           HW p.566/3-15 by 3's, 16, 18, 20, 25, 28

4/04  Review Quiz #4

4/07  Curve Length and SA of Polar Curves
           HW p.566-8/31,34,38,39,42-45
          (#47 & 48 for extra credit - due Fri)
4/09  Practice/Review
4/10  Curve Length and SA Quiz
            HW 1997 Multiple Choice Packet

4/11  Review Quiz #5

Quick flyby of Chapter 8

We are going to look at a bit of Chapter 8 which revisits limits. (C-Block dates)

3/06  Intro to L'Hopital's Rule (8.1)
           HW p.423/1-9 all, 15-19 odd

3/10  More practice with L'Hopital's Rule (8.1 cont.)
           HW finish worksheet

3/12  Improper Integrals (8.3)
           HW p.442/1,4,7,12-14,17,18,20,21,23,24

3.13   More practice

3/14  Review Quiz #2  and  Pi Day! (bring round treats)

3/17  Ch 8 Quiz

Posting the CW problem we did (eg, make sure you do them)

For the classes listed at "Mixed Methods" and "Mixed Volumes"
we did problems in class from another book (the Larson book).

Day 1: p.513/3 - 21 by 3's (except 12), 23, 27, 29, 30
Day 2: p.513/22, 24-26, 28 and p.515/2, 3, 7