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Lecture
Curl in 3D
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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.
