Students need to know how to calculate integrals on surfaces:

• GVC § 1. Surfaces
• GVC § 2. The Cross Product
• GVC § 3. Surface Elements
• GVC § 4. More Surface Elements on Surfaces and Spheres
• GVC § 5. More Surface Elements on Planes, Cylinders, and Spheres

• Dot Product (for finding the components of vector field perpendicular to surface)
• Cross Product (for finding unit vector normal to surface)
• Electric Field as vector field (for calculating electric flux)
• Surface Element in Rectangular and Curvilinear Coordinates (finding unit vector normal to surface)
• Scalar Surface Integrals (for finding total flux)