Information Sheet, Math 516

Spring 2009

Revised May6, 2009 


Gary M. Lieberman
office: 422 Carver
office hours: Monday, Wednesday 2:10-3:00; Tuesday and Thursday 10:00-10:50; Friday 9:00-9:50 Click here for modifications to this schedule.
telephone: 294-8136
More information: homepage

·         The textbook for this course is Real Analysis (third edition) by H. L. Royden.

·         The course will be graded based on homework, a midterm exam and the final exam. Homework is worth 250 points, the midterm is worth 100 points and the final is worth 150 points for a total of 500 points. Grades will be based on your total points. Approximate cut-offs are 90% (450 points) = A, 80% (400 points) = B, 70% (350 points) = C, 55% (265 points) = D. Adjustments to this scale (such as plus/minus grades) will be made at the instructor's discretion.

·         The midterm exam will be a take-home exam.  Click here for a copy of the exam.

·         Here is the final exam.

·         It is permissible to use (unassigned) homework problems to solve assigned homework problems as long as the problem you use appears in the book before the problem you are trying to solve.  The exception to this rule is when a problem specifically tells you not to use a previous result.

·         There is a syllabus at the bottom of this page.

·         Late homework assignments will be graded when I have time but there is no penalty for late homework. 

·         Solutions to homework #1, homework #2, homework #3, homework #4, and homework #5, homework #6, and homework #7 are now available.  You can also see the LaTeX file for the solutions to homework #2.

·         Click here for a list of numbered theorems, etc., from class with the corresponding reference from the textbook.

·         As announced in class, homework should be done in TEX as soon as possible.  There is a LaTEX template for homework posted.  You can also get a large list of symbols here. The command for the orthogonal symbol is \perp for the binary relation (so you can type $x\perp y$ to say that $x$ is orthogonal to $y$) and \bot to get just the orthogonal symbol (for example, the script for the orthogonal complement in problem 53 is $p^\bot$).



Syllabus for Math 516

[Subject to change]





Arzela-Ascoli Theorem

January 12-14


Topological Spaces

January 16- 28


Compact Spaces

January 30-February 9


Banach Spaces

February 11-March 9


Measure and Integration

March 11-April 1


Measure and Outer Measure

April 3-24

To be announced

April 27-May 1


Homework assignments

Click here for homework assignments.