MATH 241 Chapter 15

MATH 241
Chapter 15

Section 15.1 Double and Iterated Integrals over Rectangles
    worksheet Double and Iterated Integrals over Rectangles
Section 15.2 Double Integrals over General Regions
    Examples on Double Integrals over General Regions
   worksheet on Double Integrals over General Regions
Section 15.3 Area by Double Integration
    Examples of Area by Double Integration
    worksheet of Area by Double Integration
Section 15.4 Double Integration in Polar Form
    worksheet of Double Integration in Polar Form
Section 15.5 Triple Integrals in Rectangular Coordinates
    worksheet Triple Integrals in Rectangular Coordinates
Section 15.6 Moments and Centers of Mass
    worksheet Moments and Centers of Mass
Section 15.7 Triple Integrals in Cylindrical and Spherical Coordinates
    worksheet Triple Integrals in Cylindrical and Spherical Coordinates
Section 15.8 Substitution in Multiple Integrals
    worksheet Substitution in Multiple Integrals

Homework:
Section 15.1    1, 3, 5, 7, 9, 10, 11, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27
Section 15.2    1-57 every other odd (1, 5, 9, ...) you should END on 57!
Section 15.3    1 - 17 odds
Section 15.4     1 - 31 odd
Section 15.5    1- 41 every other odd
Section 15.6    1-33 every other odd
Section 15.7    1-69 every other odd
Section 15.8     1, 3, 5, 7, 9 ,15

15.1.27 sketch a volume from an equation

15.2.57 finding volume both dxdy and dydx

15.4.7 area using polar integrals

15.4.15 area using polar integrals

15.5.5 triple integration

15.5.33 triple integration

15.5.35 triple integration

15.5.37 average

15.5.41 triple integration

15.6.27 inertia around a line of a wedge

15.6.33 finding mass

15.7.33 cylindrical coordinates for a volume