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.
Signal RepresentationsCovers signal representations using Fourier transforms and projection theorems in the time-frequency plane.
Projection in Vector SpacesExplores the generalization of projection in vector spaces and its unique properties, emphasizing its role in finding the closest vector in a subspace.
Vibration of Diatomic MoleculesExplores the vibration of diatomic AB molecules and Fourier series, emphasizing equations of motion and Dirichlet's theorem.