Lectures related to Wave Equation: Euler-Paissan-Doubana

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

Explains the concept of scalar product, its properties, and geometric interpretation.

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.

Explores orthogonality, scalar product, and orthonormal bases in vector spaces.

Covers vector calculus, including scalar and vector products, with insights from Dr. Sylvain Bréchet.

Covers the development of Taylor polynomials of order 1 and introduces related terminology and concepts.

Explores the definition and properties of the metric tensor, enabling control of geometric quantities and lengths.

Covers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.

Covers historical thermodynamics, continuity equations, state functions, and Cartesian products in scalar and vectorial forms.