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Related lectures (49)

Mechanics: Introduction and Calculus Log in to Mediaspace to watch this video

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Linear Algebra: Linear Dependence and Independence Log in to Mediaspace to watch this video

Explores linear dependence and independence of vectors in geometric spaces.

Decomposition of a Vector Log in to Mediaspace to watch this video

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

Curve Integrals of Vector Fields Log in to Mediaspace to watch this video

Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.

Vectors: Basic Concepts and Operations Log in to Mediaspace to watch this video

Covers the basics of vectors, including properties, operations, and graphical representation.

Analytical Geometry: Oriented Angles Log in to Mediaspace to watch this video

Explores oriented angles in analytical geometry, discussing unit vectors, trigonometric functions, matrix representations, and rotations.

Relativistic Motion of Charged Particles Log in to Mediaspace to watch this video

Explores the relativistic motion of charged particles in electric fields, focusing on Lorentz covariant electrodynamics and the relativistic Larmor power.

Systems of Forces III and Equilibrium 2D Log in to Mediaspace to watch this video

Covers systems of forces in 3D, equilibrium in 2D, system isolation, free-body diagrams, supports, and joints.

Advanced Physics I: Definitions and Motion Log in to Mediaspace to watch this video

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

Derivatives and Differential Equations Log in to Mediaspace to watch this video

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

Orthogonal Projections: Rectors and Norms Log in to Mediaspace to watch this video

Covers orthogonal projections, rectors, norms, and geometric observations in vector spaces.

Lorentz Transformations and Covariant Tensors Log in to Mediaspace to watch this video

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Math Revision: Vectors Log in to Mediaspace to watch this video

Covers the fundamentals of vectors, including components, coordinates, and numerical applications.

Foundations of Deep Learning: Transformer Architecture Overview Log in to Mediaspace to watch this video

Covers the foundational concepts of deep learning and the Transformer architecture, focusing on neural networks, attention mechanisms, and their applications in sequence modeling tasks.

General Physics: Mechanics SV Log in to Mediaspace to watch this video

Covers the basics of General Physics, focusing on Mechanics SV and key mathematical concepts.

Indistinguishable Particles in Quantum Mechanics Log in to Mediaspace to watch this video

Explores indistinguishable particles in quantum mechanics, discussing symmetry, density matrix, quantum statistics, exclusion principle, and particle behavior.

Rotation in Mathematics Log in to Mediaspace to watch this video

Covers rotation matrices and transformations in mathematics, providing examples of rotating vectors in different dimensions.

Untitled Log in to Mediaspace to watch this video

Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.

Structural Mechanics: Vectors and Cartesian Coordinates Log in to Mediaspace to watch this video

Covers the fundamentals of structural mechanics, focusing on vectors and Cartesian coordinates.

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