Lectures in course MATH-201: Analysis III

Covers the solving of PDEs using Fourier series and boundary conditions of Neumann and Dirichlet type.

Covers the Fourier Transformation on L^1 and its applications in various contexts.

Explores the Fourier transformation on L^2, emphasizing convergence and density in Fourier analysis.

Explores L^2 bases and orthogonal polynomials, discussing their properties and applications in polynomial approximation.