Vector Analysis Review

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Related lectures (29)

Page 2 of 3

Analytical Study of Lines in the Plane

Explores parametric equations, vectors, medians, landmarks, and Cartesian equations of lines in the plane.

Divergence Examples

Explores examples of divergence in vector fields and their physical meanings.

Analytical Study of Space

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Vector Fields: Gradient and Divergence

Covers vector fields, gradient, divergence, heat flux, and stress tensors.

Fluids and Electromagnetism

Explores closed and non-closed surfaces, divergence theorem, Stokes theorem, and fluid properties in fluid dynamics and electromagnetism.

Rectilinear Movement: Vectors and Scalars

Explores rectilinear movement, vector algebra, scalar products, and vector decomposition in a three-dimensional space.

Curl in 2D: Rotation and Examples

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

Linear Independence and Bases

Covers linear independence, bases, and coordinate systems with examples and theorems.

Graph Surfaces: Integration and Vector Calculus

Covers integrating functions over graph surfaces in vector calculus, emphasizing the interpretation of divergence theorem and special cases of domain between two graphs.

Gradient, divergence

Covers the definitions of gradient and divergence, including the Cartesian coordinate system and the divergence theorem.