Signal RepresentationsCovers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.
Illustration of Quantum BitsCovers the postulates of Quantum Mechanics and examples with quantum bits, including observables and unitary matrices.
Quantum Physics ICovers state vectors, Dirac notation, inner product, eigenvectors, and operators in quantum physics.
Postulates of Quantum MechanicsExplores the postulates of Quantum Mechanics, emphasizing the state of a system as a complex-valued vector in a Hilbert space.
Scalar Product and VectorsIntroduces vector components, scalar and vector products, and their properties, including colinear and coplanar vectors, and the rule of the right hand.