Lectures related to Curl (mathematics)

Vector Calculus: 2D Curl Operator

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

Electric Field and Potential

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

Vector Calculus Review: Maxwell Equations

Covers a review of vector calculus and the Maxwell equations in electromagnetism.

Curl in 2D: Rotation and Examples

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

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Magnetostatics: Magnetic Field and Force

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

Differential Operators: Theorems and Proofs

Covers the concept of differential operators and presents theorems and proofs related to scalar and vector fields.

Navier-Stokes: Equations and Simulation

Explores the challenges of Navier-Stokes equations, pressure checkerboard, staggered grid, and the SIMPLE algorithm.

Linear Algebra in R³: Vector Spaces

Explores vector spaces in three dimensions, covering linear combinations, subspaces, and properties of families of vectors in R³.

Curl and Exact Sequences

Covers the concept of curl in vector calculus and De Rham cohomology.

Vector Analysis: Basics and Applications

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

Electric Fields: Curl and Path Integrals, Spherical Coordinates Supplement

Explores the integration of electric fields along paths and solutions for constant and radial fields.

Curl in 3D

Covers the concept of curl in 3D, a vector operator describing rotation.

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.

Green Function and Laplacian Formula

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

Curl of Vector Field and Path Integrals

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

Maxwell Equations: Lecture 12

Covers Maxwell's equations and the relationship between magnetic induction and electric field.

Electrostatics and Coulomb Force

Covers electrostatics, Coulomb force, and image charge method in electromagnetism.

Vector Analysis: Second Class

Covers the mathematical operations in vector fields and their applications.

Functions: Multivariable Functions and Exact Differentials

Explores functions as a function of time and space, differentiation of multivariable functions, exact differentials, and gradients.