This course has an assignment that is due by 11:55 pm Central Standard Time on Wednesday night of the first week of class.  Failure to complete this assignment will result in your removal from the course for non-participation. 

C. Wayne Patty, Foundations of Topology (2^nd Edition) Jones and Bartlett, 2009.  ISBN-13: 978-0-7637-4234-8

Including sets, relations, functions, metric spaces, compactness, completeness and connectedness. Prerequisite or Co-requisite: MA504 and MA509.  3 hours.

Upon successful completion of the course, each participant should be able to:

• explain the definition of Metric Spaces, Topological Spaces, Product Topology, Quotient Topology, Connectedness, Compactness, Normal and Regular spaces;
• precisely state the major theorems, and reproduce outlines of their proofs;
• construct topological examples and counterexamples;
• apply their knowledge to solve problems; and
• develop intuition about the correctness of proofs and identify mistakes.