MATH 8100:  Real Analysis I,     Fall 2011

Instructor: Dr. Shuzhou Wang
Class Time, Location: MWF 11:15am-12:05pm, Boyd 326
Office Hours: MWF 2:20-3:20pm, Boyd 507, or by appointment.
Phone: (706) 542-0884
E-mail:  szwang at math dot uga dot edu
Text: Real Analysis, Modern Techniques and Their Applications, 2nd edition, by Gerald B. Folland.  For errata of the text, go to http://www.math.washington.edu/~folland/Homepage/index.html

Reference: Real Analysis, 4th edition, by H. L. Royden

Prerequisites:  Theoretical aspects of calculus: limits, continuity, derivatives and Riemann integrals (math 4100/6100 or equivalent)

Objectives of the Course: This is a course on the theory of measure and integration, with Lebesgue measure and integral as the main example. Some basic functional analysis, mostly the notions needed for Lp spaces, will also be covered.

Exams: 1 Midterm Exam: Date TBA;   1 Final Exam: Dec. 12, Mon., 12:00 - 3:00 pm 

Homework Assignments will be posted at http://www.math.uga.edu/~szwang/teaching/8100-f11.html

Late Homework:  Late homework will not be accepted (always due during class on the due date).

Collaboration and Academic Honesty: You are encouraged to form study groups to discuss the material of the course. However, you must write up your own homework with your own understanding. Plagiarism, among other things, is prohibited. Above all, UGA Academic Honesty Policy applies: "All students are responsible for maintaining the highest standards of honesty and integrity in every phase of their academic careers. The penalties for academic dishonesty are severe and ignorance is not an acceptable defense."

Grading Policy: Course grade will be assigned approximately according to: Homework 40%; Midterm 20%; Final 40%. Exam problems will be comparable to those on Real Analysis Written Qualifying Exam.  

Practice exams: ask our graduate program specialist for past qualifying exam problems.
          This syllabus provides a general guide for the course. Deviation may be necessary.