Quick Polar Unit

Here is the schedule of our foray into polar coordinates and polar equations. The graphs are fun and the calculus of polar is really cool. Note the Cumulative Exam that is also part of the schedule.

3/24  Intro to Polar Coordinates and Polar Equations
            HW p.557/1-4, 21-29 odd
3/25  Graphing Polar Equations by Hand
            HW p.557-558/5-19 odd, 31-37 odd

3/29  Slope and Area (single curves)
            HW p.558/39-49 odd, 59
3/30  Area between curves, Lengths of Polar Curves
            HW p.558/51-57 odd, 60, 72 and you derive length formula
3/31  More Practice of all polar skills
            HW Lengths of p.558/43-49 odd and any other helpful problems on p.557-558
4/01  Review of polar as well as a general review of all topics

4/05  Cumulative Exam
4/06  Polar Quiz
4/07  Start Review of year (based on results of Cumulative Exam)

Ch 7: Area and Volume using Calculus

We start our last AP topic, Area and Volume. This is the most concrete of the topics we study where every result comes from a visualizable problem.

3/01  Area between Curves
        HW p.395-397/3-48 by 3's
3/02  Volume of "Mathematicians Paperweights"
        HW p.406-407/1-6
3/03  Volumes using Discs
        HW p.407-410/7-14,23,24,39,40,49,70
3/04  Volumes using Washers
        HW p.407-408/15-20,25-28,41,42

3/08  Rotating around other lines than the axes
        HW p.407-409/21,22,43-47a,50-53
3/09  Length of a Curve
        HW p.416-417/1-17 odd,23-29 odd
3/10  Surface Area; Half Day (C B H F)
        HW p.409/55-62
3/11  Quiz; Integration as net change
        HW p.386-387/1-25 odd, 26

3/15  Application Problems
        HW p.425/1-6, 8, 10, 11
3/16  More Application Problems
        HW p.426-427/17, 18, 20, 21-23, 25
3/17  Review
        HW p.430-433/3-21 by 3',22-24,26-29,32,38
3/18  More Review
        HW Worksheet of Problems

3/22  Test of Ch 7

The solution manual for Chapter 7 is available here.