Differential Forms - The Exterior Derivative and Vector Calculus

Explore the connections between classical vector calculus and differential forms in this 20-minute video lecture. Delve into the exterior derivative, Hodge operator, and differential forms to understand how they relate to traditional vector calculus operators. Learn about the curl of vector fields and anticommutativity as you progress through definitions, identifications, and practical applications. Gain a deeper understanding of these advanced mathematical concepts through clear explanations and examples provided by mathematics educator Michael Penn.

Introduction
Definitions
Identification
Curl of vector field
Anticommutativity
Summary