Course Objectives
- The students will learn the basic results in the field and get expirience in standard methods of real analysis.
- The students will get acquainted with the basic notions of the real number system (axioms, convergence, limit superior/inferior of real sequences, etc.).
- The students will get acquainted with the basic notions of metric spaces (topological properties, continuity/equicontinuity of functions, products, completion, compactness, connectedness, contraction mappings principles and their applications, Tietze extension theorem, Baire's theorem, etc.)