## MATH 2277 Introduction to Real Analysis I

**Level:**II

**Semester:**2

**Number of Credits:**3

**Prerequisites:**MATH 1140 or MATH 1152 and MATH 1150 or (MATH 1142 and MATH 1151)

#### Course Description

This is a classical course in analysis, providing a foundation for many other mathematical courses. Knowledge of Calculus, analytical geometry and basic set theory is required. The course exposes students to rigorous mathematical definitions of limits of sequences of numbers and functions, classical results about continuity and series of numbers and their proofs. A major emphasis is placed on the proper use of definitions for the rigorous proof of theorems. The following topics will be covered: The real number system, topological properties of real numbers, sequences, continuity and differentiation.

#### Assessment

*Coursework 50%*

*Final Examination - one 2-hour written paper 50%*