Analytical Study of SpaceExplores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Signal RepresentationsCovers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.
Linear Algebra: Quantum MechanicsExplores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.
Vector Calculus in 3DCovers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.
Vectors: Coordinate CalculationsCovers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.
Decomposition of a VectorCovers the decomposition of a vector in a base and its applications in speed and distance calculations.
