Lectures related to Parallelogram Problems: Vector Calculus

Explores regular surfaces and painting with normal vectors, integral calculations, symmetries, and surface orientation.

Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.

Covers the application of calculus in polar coordinates, including examples of domains defined by level curves.

Covers improper integrals, their definitions, properties, and examples in two and three dimensions.

Explores boundaries, normal vectors, and Green's theorem application in transforming integrals.

Covers Green's Theorem, transforming 2D integrals into 1D line integrals.