Multivariable Integral Calculus

Related lectures (24)

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Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Covers the definition and use of coordinate systems and applications in bases and linear equations.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

Explores the Lagrange Multipliers Theorem, covering extrema conditions and geometric interpretations.

Explores bases, dimensions, and matrix ranks in vector spaces with practical examples and proofs.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Explores linear independence in vector spaces and conditions for determining linear independence.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explores regular surfaces and painting with normal vectors, integral calculations, symmetries, and surface orientation.