Lectures related to Curl in 3D

Curl in 2D: Understanding Vector Field Rotation

Explores the concept of curl in 2D vector fields and its practical applications.

Vector Analysis: Basics and Applications

Explores the importance of vector analysis in physics and engineering, showcasing its application in various laws and relationships.

Electric Field and Potential

Explores electric field, potential, work done by charges, superposition principle, and conductors' behavior.

Curve Integrals of Vector Fields

Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.

Analysis of del operator on vector field

Explores the analysis of forces on a dipole moment using mathematical formulas and vector components.

Magnetostatics: Magnetic Field and Force

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Vector Calculus: 2D Curl Operator

Explores the 2D curl operator, its calculation, and geometric interpretation, emphasizing the role of curve speed in curve integrals.

Curl in 2D: Rotation and Examples

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

Differential Operators: Vector Analysis

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

Vector Transformation and Tense

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Coordinate Systems and Rotations

Covers cylindrical and spherical coordinates, vector positions, velocities, accelerations, and rotations.

Angular Speed of Rotation: Solid System

Analyzes angular speed of rotation, internal forces, vectors, and system transformation in a solid.

Divergence of Vector Fields

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

Tensor Transformations

Introduces tensor transformations, rotation matrices, and differential operators in mechanics.

Vector Operators: Rotation and Quantum Mechanics

Covers the transformation of waves, rotation and vectors in quantum mechanics.

Derivability and Composition

Covers derivability, linear applications, composition of functions, and the gradient vector.

Green Function and Laplacian Formula

Covers the concept of Green function and Laplacian formulas in mathematics.

Differential Operators: Divergence Operator and Scalar Field

Explores differential operators, including divergence and Laplacian operators in vector and scalar fields.