22. Parametric Surfaces and Surface Integrals - Contents

1. Introduction to Parametric Surfaces

     1
   1. Position and Plots

2. Tangent and Normal Vectors

     1   2   3
   1. Coordinate Curves
   2. Tangent Vectors
   3. Normal Vector

3. Scalar Surface Integrals

     1   2
   1. Grid Cells and Scalar Surface Area Differential
   2. Formulas

4. Applications of Scalar Surface Integrals

     1   2   3   4   5
   1. Surface Area
   2. Average Value on a Surface
   3. Centroid
   4. Mass
   5. Center of Mass

5. Vector Surface Integrals

     1   2   3
   1. Vector Surface Area Differential
   2. Orientations
   3. Alternate Notations

6. Applications of Vector Surface Integrals

     1
   1. Flux and Expansion

7. Exercises

     1
   1. Exercises