Real Analysis - MA711 - Fall 2012

Course Home Page

Course: MA711, Real Analysis
Instructor: Jared Weinstein
Lectures: MWF 12:00 pm - 1:00 pm in MCS B21
Office Hours: M 10:00 am - 12:00 pm and Th 2:00 pm - 3:00 pm in MCS 227

Course Overview

This course is an introduction to real analysis, in which we will cover the fundamentals of meaure theory. Topics include: Lebesgue measure, the Lebesgue integral, the fundamental theorems of calculus, metric spaces, and Banach spaces.


Assignments and Exams

Text

Rodyen and Fitzpatrick, Real Analysis, Fourth Edition, Prentice Hall. It will probably be fine to use a prior edition of the text (of which Royden is the sole author).

Problem sets will be assigned at the rate of slightly less than one per week. Two of the assignments (the ones with asterisks) will be elevated to the status of exam. The grading scheme is as follows: Ordinary HWs 50%, Midterms 25%, Final 25%. Assignments will appear on this page. These are to be turned in to me during lecture, or in my mailbox, or e-mailed to me as a PDF. On ordinary HWs, Working together is encouraged, but everything you turn in must be in your own words. Exams must be completed on your own.

Some files relevant to this course may be found here.

HW Assignment Due
#1 Ch. 1: 4, 8, 12, 22, 26, 28, 31 Sept. 14
#2 Ch. 1: 47, 48, 52. Ch. 2: 8, 15, 17 Sept. 21
#3 Ch. 2: 34, 39, 40, 44. Ch. 3: 1, 7 Sept. 28
#4 Ch. 3: 13, 22. Ch. 4: 9, 11, 12, 16 Oct. 5
#5 Ch. 4: 21, 23, 27, 44, 46 Oct. 15
#6* Ch. 5: 11. Ch. 6: 2, 9, 10, 16 Oct. 22
#7 Ch. 7: 10, 13, 20, 28, 32, 33 Nov. 2
#8 Ch. 7: 18. Ch. 8: 3, 5, 14, 26, 30 Nov. 14
#9 Ch. 16: 4, 5, 22, 24. Ch. 18: 49, 54iii, 56 Dec. 3
#10* Final set Dec. 17

MA711 Home Page Jared Weinstein Department of Mathematics Boston University

This page was last updated: Aug. 14, 2012 by jsweinst@math.bu.edu