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Lecture
Vectors: Basic Concepts and Operations
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Vector and matrix operations
Covers basic vector operations in MATLAB and Octave, including manipulation techniques and operations.
Vector Spaces: Operations and Linear Transformations
Explores vector space operations, linear transformations, matrix representation, and linear applications.
Analytical Study of Space
Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Linear Equations: Vectors and Matrices
Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.
Polar Coordinates: Position and Velocity
Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.
Indicial Notation and Vectors
Explores indicial notation, vectors, and the transformation law in the context of mass flux density.
Linear Independence and Bases
Covers linear independence, bases, and coordinate systems with examples and theorems.
Analytical Study of Lines in the Plane
Explores parametric equations, vectors, medians, landmarks, and Cartesian equations of lines in the plane.
Vectors: Coordinate Calculations
Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.
Linear Mapping Basics
Covers the basics of linear mapping and coordinate systems.