Office Hours: Monday/Wednesday/Friday 11:00am - 12:00pm or by appointment.

Class Meeting Time: MWF 3:05pm - 3:55pm

Lecture Location: Skiles 154

Course Content:Math 6337 is an introduction to graduate real analysis. Topics covered include: measures, sigma-algebras, outer measures (on abstract measure spaces), Borel measures on R^{n}; integration, measurable functions, integrals, monotone convergence theorem, Fatou's lemma, dominated convergence theorem, Fubini's theorem (on abstract spaces), Lebesgue integral on R^{n}; decomposition and differentiation of measures, signed measures, Lebesgue-Radon-Nikodym theorem, functions of bounded variation.

Prerequisites for the course are Math 4318 (Undergraduate Analysis II) or consent of the School.

A syllabus for the course is available the first day, and then here.

Textbook: The textbook will be:

Title: "Measure and Integral: An Introduction to Real Analsyis"

Authors: Richard Wheeden and Antoni Zygmund

Publisher: Chapman & Hall/CRC Pure and Applied Mathematics

Edition: 1st

Attendance: Attendance is required for all lectures. The student who misses a class meeting is responsible for any assignments and/or announcements made. Office hours will not be utilized to re-teach material presented in class. However, questions to better understand the course are always welcome.
There will be no opportunities for make-up tests after the fact. In the event of an absence due to travel representing Georgia Tech, such as an intercollegiate sports competition, you must notify the professor at least two weeks in advance to arrange an early test or other alternative. Otherwise, such absences will be treated as personal.

Homework: This course will have daily homework assignments which should be done before the next class. Homework will be collected and graded.

Learning Disabilities: It is the right of any student with a certified learning disability to request necessary accommodation. Such requests must be made well in advance of the time that the accommodation is required and a letter of documentation from the ADAPTS office must be presented at the time of any request.

Academic Honesty: It is expected that all students are aware of their individual responsibilities under the Georgia Tech Academic Honor Code, which will be strictly adhered to in this class.

Announcements

First day of classes: Monday August 22

First Midterm Exam: September 23. Due on T-Square Tuesday, September 27th. Solutions

Second Midterm Exam: November 4 Due on T-Square Wednesday, November 9th. Solutions

Final Exam: Wednesday December 14, 2:50pm - 5:40pm. Solutions