Geometric Areas: Integrals and Regions

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Covers curvilinear coordinates and area calculations using double integrals with examples of different curves.

Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.

Covers the concept of line integrals and their application in vector fields.