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Related lectures (29)
Differential Operators: Vector Analysis
Covers differential operators, vector analysis, Fourier analysis, and potential fields with applications to gravity.
Vector Analysis: Scalar Fields
Covers the analysis of scalar fields, including divergence, gradient, and Laplacian.
Tensor Transformations
Introduces tensor transformations, rotation matrices, and differential operators in mechanics.
Differential Operators: Gradient and Divergence
Introduces differential operators, gradient, and divergence in vector fields.
Differential Operators: Theorems and Proofs
Covers the concept of differential operators and presents theorems and proofs related to scalar and vector fields.
Divergence of Vector Fields
Explores divergence of vector fields, rotational definitions, and integral derivation applications.
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.
Mechanics: Introduction and Calculus
Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Summary using nabla symbol
Covers the concept of nabla symbol, vector scalar, divergence, and cross product in 3D.
Geometrical Aspects of Differential Operators
Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.
Advanced Physics I: Definitions and Motion
Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.
Vector Analysis Review
Covers unit vectors, coordinate system conversion, divergence, and rotational concepts in vector analysis.
Divergence: Vector Calculus
Covers the concept of divergence in vector calculus and its computation with examples.
Divergence Theorem: Green Identities in R²
Explores the divergence theorem and corollaries related to Green identities in the plane, demonstrating their application through examples.
Vector Analysis: Basics and Applications
Explores the importance of vector analysis in physics and engineering, showcasing its application in various laws and relationships.
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Curl in 2D: Rotation and Examples
Explores curl in 2D vector fields, demonstrating its rotation concept through examples and its application in physics.
Curl in 2D: Understanding Vector Field Rotation
Explores the concept of curl in 2D vector fields and its practical applications.
Curve Integrals: Gauss/Green Theorem
Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.
Vector Analysis: Gradient, Divergence, Curl
Covers the fundamental concepts of vector analysis, including the gradient, divergence, and curl operators.
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