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Related lectures (31)
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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.
Surface Integrals: Vector Fields
Explains the surface integral for vector fields and demonstrates its calculation process through examples.
Laplacian: Basics and Examples
Covers the basics of the Laplacian operator applied to scalar fields and its importance in mathematical models.
Differential Operators: Theorems and Proofs
Covers the concept of differential operators and presents theorems and proofs related to scalar and vector fields.
Vector Fields Analysis
Explores vector fields analysis, covering curvilinear integrals, potential fields, and field connectivity conditions.
Energy: Gravitational Potential and Conservative Forces
Explores gravitational potential, conservative forces, and energy conservation through practical examples and experiments.
Curvilinear Integrals and Conservative Fields
Explores curvilinear integrals, conservative fields, and domain potentials through practical examples and calculations.
Divergence Theorem: Green Identities in R²
Explores the divergence theorem and corollaries related to Green identities in the plane, demonstrating their application through examples.
Newtonian Potential: Bounded Domains
Explores Newtonian potential in bounded domains, discussing its conditions and properties.
Magnetic Force on a Current-Carrying Wire
Explores the magnetic force on a current-carrying wire and the derivation of the magnetic field equation, emphasizing the importance of vector fields and unit vectors.
Vector Calculus: Divergence and Notation
Explores divergence in vector fields, Laplacian notation, and proof for scalar and vector Laplacians.
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