Covers tangent spaces and submersions in differential geometry, emphasizing vector spaces and differentiable structures.
Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Introduces vector components, scalar and vector products, and their properties, including colinear and coplanar vectors, and the rule of the right hand.
Covers the decomposition of a vector in a base and its applications in speed and distance calculations.
