Xiaojing Ye
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Real Analysis II

Syllabus

Real Analysis II

Description

Banach spaces and Hilbert spaces; Generalized functions and Sobolev spaces; Compact operators and Fredholm theory.

Prerequisites

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

  • Math 8110 Real Analysis I: Familiarity with Lebesgue integral and measure theory is helpful in the study of Real Analysis II.

References

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

  • Linear and Nonlinear Functional Analysis with Applications, by Philippe G. Ciarlet. Publisher: SIAM. [errata]

Lecture Videos and Notes

  • Lecture videos are posted on iCollege (under “Content” tab).

  • Lecture notes are posted here.

WebEx Virtual Meeting

  • All office hours and exams are taken place on WebEx.

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.