Location: Cupples I 111, -T-T---, 10:00AM - 11:30AMInstructor: Ilya Krishtal
Office: Cupples I, Room 202 (between the floors)
Office Hours: Tu,Th 11:40 - 12:40 or by appointment
Office Tel: 935-6785 (has voice-mail)
E-mail: krishtal @ math.wustl.edu
Rosenlicht, Maxwell. Introduction to analysis.
Dover Publications, Inc., New York, 1986. viii+254 pp. ISBN 0-486-65038-3
Topics: The real number system and the least upper bound property; metric spaces (completeness, compactness, and connectedness); continuous functions (in R^n; on compact spaces); pointwise and uniform convergence; Weierstrass approximation theorem; differentiation (mean value theorem; Taylor's theorem); the contraction mapping theorem; the inverse and implicit function theorems. Other topics will be tossed in if time permits. Not all of the topics are covered in the textbook. For those that are not other references or a handout will be provided.
Exams: There will be two in-class mid-term exams, on Oct 4 and OCT 27. Each of these exams will ask for the proof of one or more theorems discussed in class. There will also be questions asking for definions, examples, and counter-examples for the material covered by the exam. Finally, there will be some problems not previously covered in class but often analagous to homework problems. The final exam will likely be a take-home exam given out in early December and due back in roughly a week. We will settle on the exact dates when everyone has a firm schedule for exam week. The final exam will consist entirely of problems not covered in class.
Homework: There will be weekly homework assignments to write up and hand in. Usually the homework will be due on Tuesday 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: Each of the two mid-term exams will count 20% toward the final grade, the final exam will count 30%, and the final homework average the last 30%.
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.