Real Analysis II Math 555 / 704i Spring 2010 Prof. Girardi
Homework	Blue Book Paper	Syllabus

Required Course Textbook:
Introduction to Real Analysis   by William F. Trench. Reproduction is permitted for any valid noncommercial educational, mathematical, or scientific purpose.

Announcements:

Math 555 Handouts and Links:
Convex Functions Give Inequalities Seven Funky Functions Examples of Functions with perhaps unexpected (non)differentiability properties   taken from Counterexamples in Analysis by Gelbaum and Olmsted Riemann Integral lim sup and lim inf of sequences

Math 554 Handouts and Links:
Math Induction Intro to Topology chart   and Solutions to the chart Intro to Topology   handout summarizing definitions and facts. Lim Sup/Inf Summary Some (partial) solutions to homework.

Course Resources and Course Enhancement
An Interactive Real Analysis self-tutor website. SCHC Senior Thesis Continuous Nowhere Differentiable Functions by Katie Spurrier (April 2004) SCHC Senior Thesis The General Lebesgue Integral by Bucky Gardner (April 2000)

Just for Fun
The Klein Four Group: the algebraic group of the direct product of two copies of the cyclic group of order 2 a cappella group of mathematicians whose songs include Finite Simple Group (of Order Two). Lyrics to There's a delta for every epsilon by singer-songwiter mathematician Tom Lehrer