Surface Integrals: Parameterization and Divergence Theorem

This lecture delves into the computation of surface integrals using parameterization and the divergence theorem. The instructor explains how to define parameter domains, compute cross-products, and integrate vector fields over surfaces. Practical challenges, such as determining outward-pointing unit normals, are discussed. The lecture concludes with examples, including the computation of the volume of a three-dimensional unit ball using a specific vector field.