The course is an undergraduate level course in functional analysis. Classically, functional analysis is the study of infinite dimensional vector spaces of functions and linear operators between them. This class deals with relevant function spaces (normed vector spaces, Banach and Hilbert spaces), spaces for , bounded linear operators on normed vector spaces, fundamental principles of functional analysis (i.e., Han-Banach Theorem, Uniform Boundedness Principle, Open Mapping Theorem and Closed Graph Theorem) and their applications, spectral theory of compact linear operators and spectral theory of compact self-adjoint operators on Hilbert spaces.

CILO-1: Demonstrate the basic concepts and fundamental principles of functional analysis. CILO-2: Summarize and explain the major features of functional analysis, such as Han-Banach Theorem, Uniform Boundedness Principle, Open Mapping Theorem and Closed Graph Theorem. CILO-3: Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from functional analysis.