Lectures related to Summary using nabla symbol

Rectilinear Movement: Vectors and Scalars

Explores rectilinear movement, vector algebra, scalar products, and vector decomposition in a three-dimensional space.

Covers the proof of the Green theorem, showing how the integral of a vector field along a domain's boundary equals the integral of the curve within the domain.

Divergence of Vector Fields

Explores divergence of vector fields, rotational definitions, and integral derivation applications.

Dynamics: Scalar Product and Rate of Change

Introduces scalar product, parallelism of vectors, and rate of change of a product.

Indicial Notation and Vectors

Explores indicial notation, vectors, and the transformation law in the context of mass flux density.

Orthogonality and Least Squares Method

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Scalar Products in 2D and 3D Geometry

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Vector Products: Dot and Cross - Part 2

Covers the concepts of dot and cross products of vectors and their applications.

Produit mixte

Covers the concept of the mixed product and related vector identities.