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Announcements:
Prerequisites: Math 140B or consent of the instructor.
Course description: Second course in a rigorous three-quarter sequence on real analysis. Topics include: differentiation of functions of several real variables, the implicit and inverse function theorems, the Lebesgue integral, infinite-dimensional normed spaces.
Textbook: W. Rudin, Principles of Mathematical Analysis, 3rd edition, McGraw-Hill, 1976. We will cover chapters 9 and 11. If time permits, we will also cover some additional topics on Lebesgue integration.
Homework: Homework will be assigned weekly (except for the first week and the midterm weeks).
Homework is due Friday by 12:00pm.
There will be six homework assignments and you should attempt to complete
all of them. No late homework will be accepted. If, for any reason, you
cannot turn in a homework assignment, keep in mind that the lowest two scores
will be dropped.
Midterm Exams: There will be two in-class midterms: the first on Tuesday, April 22nd, and the second on Thursday, May 22nd. There will be no make-up exams. If, for any reason, you cannot make it to one of the midterms, you will automatically receive grading option (2).
Final exam: The final exam is scheduled for Tuesday, June 10th, 8:00am-11:00am.
Grading: Your final score will be calculated as the maximum of the
following two schemes:
(1) 20% Homework + 20% First Midterm + 20% Second Midterm + 40% Final Exam
(2) 20% Homework + 20% Best Midterm Exam + 60% Final exam
Regrades: Homework and midterm exams will be returned in the discussion sections. If you wish to have your homework or exam regraded, you must return it immediately to your TA. Regrade requests will not be considered once the homework or exam leaves the room. If you do not retrieve your homework or exam during discussion section, you must arrange to pick it up from your TA within one week after it was returned in order for any regrade request to be considered.
List of homework assignments: