Undergraduate Courses

MA 452/502, Introduction to Real Analysis

Catalog Description

Sequences, limits, continuity, differentiation of functions of one real variable, Riemann integration, uniform convergence, sequences and series of functions, power series, and Taylor series.

Goals

This is an introductory course in real analysis that covers basic topics such as convergence, continuity, differentiation, and integration for functions of a real variable. The emphasis is on a deep understanding of these topics, on critical and logical thinking, and on the construction of clear, correct, coherent, and succinct proofs.

Prerequisites

MA 330, Foundations of Mathematics

Credit

3 Semester Hours

Grading System

This course is graded A, B, C, D, F. The grade typically depends on a combination of class tests, homework assignments, and a comprehensive final exam. Course completion and grade requirements for the MA 502 course will differ from those for the MA 452 course.