Fall 2009
MATH 540 (Section C1)
Real Analysis I
10 a.m. to 10:50 a.m., M W F
341 Altgeld Hall
Instructor:
Igor G. Nikolaev
Department of Mathematics
343 Illini Hall
333-3082
email: inik@math.uiuc.edu
Office Hours:
Wednesday: 11:05am-12:00pm
Friday: 11:05am-12:00pm
The course will cover the prescribed syllabus:
Abstract measure theory, outer measure, Lebesgue measure on the real line, measurable functions, the Lebesgue integral, differentiation, Lp -spaces, elementary Hilbert space theory and trigonometric series. Other topics will be included as time permits.
Text: H. L. Royden, Real Analysis (3rd edition), Prentice Hall.
Additional text (do not have to buy): W. Rudin, Real and Complex Analysis, McGraw-Hill.
Prerequisite: Math. 447 or equivalent
For Math. 540 Comps samples, go to
http://www.math.uiuc.edu/GraduateProgram/Study/study.html
Grading:
How you can check your scores:
After you have been authenticated, a list of your grades will appear in the form similar to the following example:
C1|Doe Joe Robert JDOE|hw1:100/100 hw2:#/100 ex1:95/100 hw3:100/100 hw4:100/100 hw5:90/100 hw6:90/100 hw7:100/100 ex2:85/100 hw8:30**/100 hw9:95/100 hw10:100/100 average: 97.31/100=A+
A "#" symbol indicates a score that has not yet been entered. A "**" symbol indicates a score that has been dropped.
Each student will be assigned a semester grade based upon her/his semester average. There will be weekley homework assignments, 2 midterms and a final. They will count toward the average grade as follows:
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Home works |
Midterms |
Final Exam |
| 30% |
15%+15%=30% |
40% |
Dividing lines will be:
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Midterms: There will be 2 midterms:
| Midterms | Topics | Day, time and room |
| Midterm 1 | To be announced | Monday, October 5, 10:00am-10:50am, 341 AH |
| Midterm 2 | To be announced | Monday, November 16, 10:00am-10:50am, 341 AH |
Midterm exams will contain problems and "proofs"; so, you can be asked to solve a problem and/or reproduce some proofs presented on lectures (the list of theorems will be posted a week before the midterm exam); both midterm exams are closed-book, closed-notes.
If you have a valid conflict at the scheduled exam date, let me know at least one week ahead of the date, indicating the nature of your conflict; you will be notified if you are allowed to take a make up exam. In case of illness, you will be allowed to take make up exam if you can provide a note from McKinley or similar. Otherwise the exam will be recorded as 0 points.
Home works: will be collected every Monday at the end of class except when Midterm is scheduled. For exact schedule, go to Lecture topics, homework assignments, etc and see Collected HW assignments at the end of the web page. Several selected problems will be graded. Two lowest scores for home works will be dropped.
Students with disabilities who require academic accommodation in this course are encouraged to contact Disability Resources and Educational Services and Professor Nikolaev.
Final Exam: 8:00-11:00 AM, Monday, December 14 , room 341 Altgeld Hall. This time is unchangeable.Last modified
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Department of Mathematics College of Liberal Arts and Sciences University of Illinois at Urbana-Champaign 273 Altgeld Hall, MC-382 1409 W. Green Street, Urbana, IL 61801 USA Department Main Office Telephone: (217) 333-3350 Fax (217) 333-9576 |
Some files (solutions, etc) will be password protected. The class user's name and password are given during the first day of classes. If you are a registered Math. 540 C1 student, you can also request class user's name and password via email inik@math.uiuc.edu.
