Decomposition of a VectorCovers the decomposition of a vector in a base and its applications in speed and distance calculations.
Parts and Vectors in CoordinatesCovers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.
Differential Geometry of SurfacesCovers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Special RelativityCovers the main points of special relativity, including symmetries, transformations, 4-vectors, Maxwell equations, and proper time.
Vectors: Coordinate CalculationsCovers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.
