MA598R'07: Tip of the week.

How to download all quals from the web with a couple of commands (in UNIX)?
You can do this with either wget or curl. The syntax is really simple with curl:
(that's a capital "o" at the end of each command. Click on image for larger version)

MA598R'07. Set of problems

[Problem set #1: June 11]	[Problem set #2: June 13]
[Problem set #3: June 20]	[Problem set #4: June 27]
[Problem set #5: July 11]	[Problem set #6: July 18]
[January 2004]	[January 1999]

MA598R'07. Calendar

Monday, June 11
Riemann-Stieltjes Integral

• Functions of Bounded Variation
  
• Existence of the Riemann-Stieltjes Integral
  
• The Riemann-Stieltjes Integral and Limits

Wednesday, June 13
Abstract Measures. Lebesgue Measure.

• Algebras and σ-algebras of Sets
  
• Additive Set Functions and Measures
  
• Properties of Measures
  
• Lebesgue Measure on Rⁿ
• The Cantor Set

Monday, June 18
Second chances: review of Measure Theory

Wednesday, June 20
Measurable Functions

• Elementary Properties of Measurable Functions
  
• Structure of Measurable Functions
  
• Sequences of Measurable Functions

Monday, June 25
Second chances: review of Measurable Functions.

Wednesday, June 27
Integration

• The Integral of Nonnegative Functions
  
• The Integral of Arbitrary Functions
  
• Riemann and Lebesgue Integrals
  
• Metric structure of L₁
  
• The Lebesgue Differentiation Theorem

Monday, July 2
Second chances: review of Integration

Wednesday, July 4
No class

Monday, July 9
Third chances: review of Integration

Wednesday, July 11
L_p Spaces

• The Lebesque L_p spaces
  
• Functionals on L_p
  
• Weak convergence

Monday, July 16
Second chances: review of L_p spaces

Wednesday, July 18
Advanced Topics:

• Covering Lemmas.
  
• Absolute Continuity.
  
• Approximations to the Identity.
  
• The Fourier Transform.

Monday, July 23
Second chances: review of Advanced Topics.

Wednesday, July 25
Qual frenzy

Monday, July 30
Qual frenzy