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.