Lectures related to Graph Surfaces: Integration and Vector Calculus

Covers the application of Green's Theorem in analyzing vector fields and calculating line integrals.

Explores positive and negative orientation in curves, emphasizing their impact on tangent and normal vectors.

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

Explores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.

Explores Green's theorem, vector field curl, Ampère's law, and magnetic field modeling.

Explains the surface integral for vector fields and demonstrates its calculation process through examples.