6210 Homepage

Course information and outline are available by clicking here: pdf.
This contains information about office hours, grading, homework,
and exams.

The final exam will be on Monday, December 14th, 8-10AM in LCB 323. It will be 2 hours long and consist of five problems. Three will be taken directly from the real analysis part of the last five qualifying exams in analysis; two will be taken directly from the problem sets assigned in class. Old qualifying exams are available here. Since the last five exams cover slightly more material than we covered the following problems will not appear on the final examination: Fall 2007, #3; Spring 2009, #3; Fall 2008, #4; Spring 2009, #5; Fall 2009, #2.

An excerpt on outer measure, Lebesque measure, and Hasudorff measure.

Problem Sets:

Warm Up (pdf);  due August 27th.

Problem Set #1 (due September 17th):

• Rudin, Chapter 1: #3, 5, 7, 8; plus the following problems assigned in class:

• Compute the Hausdorff dimension and measure (in that dimension) of the Cantor set.
• recurrence.pdf
• Selected Solutions for Problem Set #1

Problem Set #2 (due October 20th):

• Chapter 2: #5, 6, 7, 8, 9, 12, 13.
  
• Chapter 3: #3, 7, 11.
  
• One additional problem: circle-problem.pdf
• Selected Solutions for Problem Set #2

REVISED Problem Set #3 (due December 1st):

• Chapter 4, #3-6, 11, 17; 
• Chapter 5: #1-8, 20;
• Chapter 6: #1, 3, 4, 5.
  
• Selected Solutions for Problem Set #3