1. Using double integrals over rectangles


2. Using double integrals over non-rectangular regions


3. Using double integrals in polar coordinates


4. Physical applications of double integrals
Density and mass
Moments and center of mass
Probability


5. Understanding triple integrals


6. Using triple integrals in three dimensional polar coordinate systems
Cylindrical coordinates
Triple integrals in cylindrical coordinates
Spherical coordinates
Triple integrals in spherical coordinates


7. Understanding a change of variables in multiple integrals
A plausibility argument for the theorem


Index.