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Math Revision: Vectors
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Related lectures (28)
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Physics 1: Vectors and Dot Product
Covers the properties of vectors, including commutativity, distributivity, and linearity.
Translations and Homotheties
Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.
Tensor Analysis: Coordinate Systems
Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.
General Physics: Mechanics
Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.
Polar Coordinates: Position and Velocity
Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.
Vectors: Basic Concepts and Operations
Covers the basics of vectors, including properties, operations, and graphical representation.
Special Relativity
Covers the main points of special relativity, including symmetries, transformations, 4-vectors, Maxwell equations, and proper time.
Introduction to Structural Mechanics
Introduces resultants in 3D, equilibrium in 2D, and free-body diagrams for structural analysis.
Motion Analysis: Cartesian and Polar Coordinates
Covers the analysis of motion using Cartesian and polar coordinates, focusing on kinematics and acceleration components.
Shells I: Mechanics of Slender Structures
Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.