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, 8-10pm in LCB 323.
It will be 2 hours long and consist of five problems. Three will be taken
directly from the last five qualifying exams in analysis; two will be taken
directly from the problem sets assigned in class.

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.