Location: Lopata Hall 301 -T-T--- 10:00AM 11:30AMInstructor: Ilya Krishtal
Office: Cupples I, Room 202 (between the floors)
Office Hours: TBA or by appointment
Office Tel: 935-6785 (has voice-mail)
E-mail: krishtal @ math.wustl.edu
Bartle, Robert G. The elements of integration and Lebesgue measure.
Containing a corrected reprint of the 1966 original [ The elements of
integration, Wiley, New York; MR0200398 (34 \#293)]. Wiley Classics
Library. A Wiley-Interscience Publication. John Wiley & Sons, Inc.,
New York, 1995. xii+179 pp. ISBN: 0-471-04222-6
Rosenlicht, Maxwell. Introduction to
Dover Publications, Inc., New York, 1986. viii+254 pp. ISBN 0-486-65038-3
Topics: Riemann integration; measurable functions; measures; the Lebesgue integral; integrable functions; L^p spaces; modes of convergence; decomposition of measures; product measures; Lebesgue measure. Other topics will be tossed in if time permits. Not all of the topics are covered in the textbooks. For those that are not other references or a handout will be provided.
Exams: There will be one mid-term take home exam, approximately in the middle of the semester, and a final exam. While the mid-term exam will ask for proofs, definions, examples and counter-examples, and problems most of which were covered in class or analagous to homework problems, the final exam will consist entirely of problems not covered in class. We will settle on the exact dates when everyone has a firm schedule for exam week.
Homework: There will be weekly homework assignments to write up and hand in. Usually the homework will be due on Thursday and the assignment handed out the previous Tuesday. The homework will consist of a mixture of selected exercises from the textbook and supplementary exercises made up by the instructor. Click on current homework to get it.
Grading: The mid-term exams will count 30% toward the final grade, the final exam and the final homework average will count 35% each. The actual cut-offs for the letter grades will be determined by the performance of the class. Cut-offs for 4111 may be used as a guide.
with all Washington University courses, cheating on exams will be taken
very seriously with evidence supporting a cheating allegation forwarded
to the Arts and Sciences Integrity Committee for adjudication.
the Committee concludes that a student cheated on an exam, it normally
directs the instructor to assign the student a failing grade for the
Cheating on homework consists of either blindly copying off someone else's solutions or not acknowledging the receipt of assistance from others in completing the assignment. It's anticipated that students will make a genuine effort to solve the homework problems themselves. However, if the effort has lead nowhere, discussing problems with others is a way to avoid frustration and gain useful insight. All students are expected to write up their own assignments and to indicate in a short note at the top of the first page the names of any people (other than the instructor) with whom they discussed the problems or from whom they received some hints. Violation of these requests will result in an instructor-imposed penalty (e.g., something like half credit for the assignment) but won't be treated as a "hanging" offense--in particular, won't be brought to the attention of the Arts and Sciences Integrity Committee.
Old 4111 News: You can download test 1 , test 2 and the FINAL TEST with my comments/solutions.
You are welcome to contact me if you want me to elaborate on those.
Here is the graph of the function in problem 4, hw 10.
Here is the proof of the Weierstrass approximation theorem.