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.
Spatial Base SolutionsDiscusses spatial base solutions, boundary conditions, and the time-dependent diffusion equation.
Functional DerivativesCovers the concept of functional derivatives and their calculation process with examples.