MAT 4110 - Advanced Calculus

3 cr

This course is devoted to rigorous presentation of the basics of mathematical analysis of real valued functions of one (real) variable from the standpoint of contemporary/modern mathematics. It is a natural continuation of the sequence of calculus courses and will give proofs of important theorems used in those courses. Emphasis will be on the concepts and theoretical approach to calculus. Topics to be covered include theory of the real number system, theory of sequences and series of real numbers, theory of continuity, differentiability of real-valued functions, and theory of the Riemann integral of real valued functions.
Prerequisite: MAT 2533 and MAT 3410 .
Fall