Vector Analysis: Basics and Applications

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Related lectures (30)

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Differential Operators: Gradient and Divergence

Introduces differential operators, gradient, and divergence in vector fields.

Differential Operators: Vector Analysis

Covers differential operators, vector analysis, Fourier analysis, and potential fields with applications to gravity.

Curl in 2D: Rotation and Examples

Explores curl in 2D vector fields, demonstrating its rotation concept through examples and its application in physics.

Divergence of Vector Fields

Explores divergence of vector fields, rotational definitions, and integral derivation applications.

Understanding Vector Fields and Potential Functions

Explores vector fields, potential functions, and energy in electromagnetism, emphasizing the importance of understanding charge distributions and equi-potential lines.

Vector Fields: Gradient and Divergence

Covers vector fields, gradient, divergence, heat flux, and stress tensors.

Continuum Mechanics: Conservation Laws and Kinematics

Introduces continuum mechanics, focusing on conservation laws and kinematics for continuous media.

Divergence: Vector Calculus

Covers the concept of divergence in vector calculus and its computation with examples.

Curl of Vector Field and Path Integrals

Explores the curl of a vector field and the calculation of path integrals in Cartesian coordinates.

Hydropower Innovations: Water Turbines and Pump-Turbines

Covers the importance of water turbines and pump-turbines in advancing hydropower technology and sustainability.