Analysis I - Fall 2008
Math 554/703 I

Professor Robert Sharpley
sharpley@math.sc.edu
Department of Mathematics
University of South Carolina

Lecture Sets

• Lecture Set 1  The Real Number System 
  • Supplement  Square Roots 
• Lecture Set 2   Countable and Uncountable Sets
  Outline for study purposes. Read Rudin's text pp 24-30.
  
• Lecture Set 3   Introduction to Metric Spaces
  Outline for study. Read Rudin's text pp 30-36.
  
• Lecture Set 4   Sequences, Series, and special properties for IR
  • Supplement - Lecture Set #4 Part b  Cantor set summary
• Lecture Set 5   Limits of Functions and Continuity
• Lecture Set 6  Connectedness and the Intermediate Value Theorem
• Lecture Set 7_a  Compactness and the Extreme Value Theorem
• Lecture Set 7_b  Compactness and Continuity of Inverse Functions
• Lecture Set 8  Differentiation

This page maintained by Robert Sharpley (sharpley@math.sc.edu) and last updated Nov. 2, 2008.  This page ©2008-2009, The Board of Trustees of the University of South Carolina.  URL: http://www.,math.sc.edu/~sharpley/math554_08