Introduction to Real and Complex Analysis

Catalog description

The course is designed as a post-calculus course addressed to students majoring in mathematics or mathematics education and pays special attention to developing the student’s ability to read and write proofs. The course covers the concepts of the real and complex numbers system, introduction to point set topology, limits, continuity, uniform continuity, differentiation and integration, sequences and series of real and complex functions. It will provide the mathematically mature and motivated undergraduate students with a solid background for further studies, deepen their understanding of calculus, and provide sound training in rigorous mathematical proof.