Applied Analysis
Elementary introduction to fundamental concepts and techniques in classical analysis; applications of such techniques in different topics in applied mathematics. Brief review of essential concepts and techniques in elementary analysis; elementary properties of metric and normed spaces; completeness, compactness, and their consequences; continuous functions and their properties; Contracting Mapping Theorem and its applications; elementary properties of Hilbert and Banach spaces; bounded linear operators in Hilbert spaces; Fourier series and their applications.
Prerequisites & course information
Prerequisites: Strong background in multivariate calculus is required. Knowledge in elementary analysis such as the delta-epsilon definition of continuity, convergence of sequences of real numbers, topocontinuity of real-valued functions
Sources
- Course catalogue ↗2026-2027