Real Analysis I

Syllabus

Real Analysis I

Description

Measures, measurable sets and functions; Lebesgue integrations; Signed measure; Function of bounded variation; \(L^p\) spaces; Topics in Probability Theory.

Prerequisites

Math 4662/6662 Analysis II. Note: Solid understanding of materials in Analysis I and II is necessary to follow the lectures.

References

• Real Analysis by Halsey Royden and Patrick Fitzpatrick. Publisher: Pearson. [errata]

• Real Analysis: Modern Techniques and Their Applications (2nd Edition) by Gerald B. Folland. Publisher: Wiley. [errata]

Lecture Notes

• Lecture notes are posted here.

Homework Assignments

Students must follow homework policy and instruction to complete and submit homework assignments on iCollege.

Conduct Policy

Any type of inappropriate conduct may result in your being administratively dropped from the course. See the University's Policy on Disruptive Behavior in Georgia State University Code of Conduct.