Lectures related to Approximating Functions with Polynomials

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Covers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.

Explores trigonometric addition theorem, double angles, and tangent properties.

Introduces the Gram-Schmidt orthogonalization process to find orthogonal bases for vector subspaces.

Covers the concept of orthogonal bases in vector spaces and Pythagorean theorem applications.

Discusses spatial base solutions, boundary conditions, and the time-dependent diffusion equation.

Covers the concept of functional derivatives and their calculation process with examples.

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

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