MATH 8100: Real Analysis I, Fall 2005
Instructor: Dr. Jingzhi Tie
Class Time and Place: MWF 11:15-12:05, Boyd 326
Office Hours: MWF 12:30-1:45PM, Boyd 504, or by appointment.
Phone: (706) 542-2607
E-mail: jtie@math.uga.edu
Text: Real Analysis, Measure Theory, Integration, & Hilbert Spaces,
by Elias M. Stein and Rami Shakarchi. You can find chapter One of the book at
http://www.pupress.princeton.edu/chapters/s8008.pdfReference: 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
Real Analysis, 2nd edition, By G. Folland
Measure and Integral, by R. L. Wheeden and A. Zygmund
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, Monday, Dec 12, 12-3PM
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. 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. I will update the review problems and will put
the new list here
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: Friday,
October 14
Midterm Test: I will try to schedule the two-hour midterm
test
during the lecture hour on October 12 if possible.
Otherwise, we have to find a time in the late
afternoon
during the week.
Last Day of Classes: Wednesday, December 7
Final Exam: Monday,
December 12, 12-3PM.
Final Exam Problems (pdf
file,
dvi
file), Possible Solutions (pdf
file, dvi
file)
Fall Semester 2005Based on 50 minute classes (M-W-F), 75 minute classes (Tu-Th),15 weeks of classes, 75 days of classes. |
|
| Orientation | Aug. 15, M |
| Advisement | Aug. 16, Tu |
| Late Registration | Aug. 17, W |
| Classes begin | Aug. 18, Th |
| Drop/Add | Aug. 18-25, Th-Noon Th |
| Holiday (Labor Day) | Sept. 5, M |
| Midterm | Oct. 11, Tu |
| Midpoint Withdrawal Deadline | Oct. 14, F |
| Fall Break | Oct. 27-28, Th-F |
| Holiday (Thanksgiving) | Nov. 23-25, W-F |
| Classes Resume | Nov. 28, M |
| Classes End | Dec. 8, Th |
| Reading Day | Dec. 9, F |
| Final Exams | Dec. 12-16, M-F |
| Grades Due | Dec. 19, M |
| Commencement | Dec. 17, Sa |
| Notes: 1. Two-day fall break. 2. Three days break for Thanksgiving. 3. The University shall operate a Friday class schedule on Tuesday, Dec. 6th. This is being done to equalized the class minutes between MWF and Tu-Th classes and to provide an equal number of class meetings for courses which may meet only once per week. Approved by the University Council - 4/22/04 |
|