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Related lectures (31)

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Vector Spaces and Scalar Products

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.

Derivatives and Differential Equations

Covers trigonometric functions, derivatives, differential equations, and vector properties.

Scalar Product and Vectors

Introduces vector components, scalar and vector products, and their properties, including colinear and coplanar vectors, and the rule of the right hand.

Vector Components and Operations

Covers vector components, projections, conventions, operations, and mathematical identities.

Understanding Normal Vectors in Calculus

Delves into normal vectors in calculus, clarifying their role in integrals and parameterization of edges.

Vector Product: Antisymmetric Coordinates

Covers the vector product and its geometric interpretation in a Cartesian coordinate system.

Decomposition of a Vector

Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Linear Applications and Eigenvectors

Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.

Thermodynamics of Continuous Media

Covers historical thermodynamics, continuity equations, state functions, and Cartesian products in scalar and vectorial forms.

Summary using nabla symbol

Covers the concept of nabla symbol, vector scalar, divergence, and cross product in 3D.