MATH 8100: Real Analysis I, Fall 2003
Instructor: Dr. Jingzhi Tie
Class Time and Place: MWF 8:00-8:50,Boyd 326
Office Hours: MWF 10:00-11:20AM Boyd 318, or by appointment.
Phone: (706) 542-2607
E-mail: jtie@math.uga.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.htmlReference: Real Analysis, 3rd edition, by H. L. Royden
Real and Complex analysis, 3rd edition, by W. Rudin
An Introduction to Measure and Integration, 2nd edition, by I.K. Rana
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.
Exam Date: Final Exam, Wednesday, Dec 10, 8-11AM
Homework Assignments This is the homework assignments when I taught the course in the fall of 2000.
For the homework assignments of this semester, please click the following links.
homework one, homework two, homework three, homework four, homework five, homework six. Midterm and final exam.
Review Problems for the Analysis Preliminary Exam: here is a list of problems that I think you should be able to do if you
have taken Math 8100 and are planning to take the Analysis preliminary.
Homework Solutions I will try to post the solutions or hints of the homeworks here:
homework one, homework two, homework three, homework four, homework five, homework six. Midterm and final exam.
If you do not have it, download the Adobe® Acrobat® Reader™ to view the them.
Late Homework: Late homework will not be accepted (always due during class on the due date).
Collaboration and Academic Honesty: You are strongly encouraged to form study groups to work on your homework and discuss the material for 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 — See the web page
http://www.uga.edu/ovpi/academic_honesty/culture_honesty.htm.
Grading Policy: Course grade will be assigned approximately according to Homework 40%; Midterm 30%, Final Exam 30%.
Midpoint of session: Thursday,
October 14
Midterm Test: I will try to schedule the two-hour midterm
test
during the lecture hour on October 13 if possible.
Otherwise, we have to find a time in the late
afternoon
during the week.
Last Day of Classes: Monday, December 8
Final Exam: Wednesday,
December 10, 8-11am.
Final Exam Problems (pdf
file,
dvi
file), Possible Solutions (pdf
file, dvi
file)
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Based on 50 minute classes (M-W-F), 75 minute
classes (Tu-Th) 15 weeks of classes, 75 days of classes.
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