Lectures related to Surface Integrals, Divergence Theorem and Stocks' Theorem

Vector Calculus Theorems

Explores the Gauss and Green theorems in vector calculus, showcasing their applications through practical examples and geometric interpretations.

Vectors and Tensors: Derivatives and Transformations

Explores gradient, divergence, and integral theorems in vector calculus.

Linear Momentum Balance

Analyzes linear momentum balance equations and explores the consequences of continuity and divergence in angular momentum conservation.

Curve Integrals of Vector Fields

Explores curve integrals of vector fields, energy calculations, potential functions, and tangential vectors, with a focus on line integrals and domains.

Green Theorem: Analyzing Potential Derivatives

Explores potential derivatives, Green theorem, simple curves, and adherence in open domains.

Surface Integrals: Vector Fields

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

Curvilinear Integrals: Interpretation and Convexity

Explores the interpretation of curvilinear integrals in vector fields and the proof of potential fields.