Vector Analysis: Scalar Fields

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Related lectures (29)

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Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.

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.

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.

Continuity Equations: Internal Entropy Production

Explores continuity equations and internal entropy production in various coordinate systems, emphasizing scalar functions and vector quantities.

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: Second Class

Covers the mathematical operations in vector fields and their applications.

Divergence of Vector Fields

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