Course Description

Metric spaces and continuity; differentiable and integrable functions of one variable; sequences and series of functions.

Additional Requirements for Graduate Students:
Extra homework on weekly problems.

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Athena Title

Real Analysis

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Prerequisite

(MATH 3100 or MATH 3100H) and (MATH 3200 or CSCI 2610 or CSCI 2610E)

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Semester Course Offered

Offered fall

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Grading System

A - F (Traditional)

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Course Objectives

Students should understand the notions of continuity and differentiability of functions in one and several real variables and be able to prove the basic results about such functions. Students will also learn how the concepts of uniform and absolute convergence apply to the study of continuous and differentiable functions defined by sequences. Students will also get an introduction to the topology of metric spaces.

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Topical Outline

Real and Complex Number Systems Basic Topology Numerical Sequences and Series Continuity Differentiation Riemann and Riemann-Stieltjes Integrals Sequences and Series of Functions

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