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. 

Introduction to Topology, Bert Mendelson, Third Edition, Dover Publications.   ISBN 9780486663524

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 definitions of metric spaces, continuity, topological spaces, product topology, subspace topology, connectedness, and compactness.
• precisely state the major theorems, and reproduce outlines of their proofs
• construct topological examples and counterexamples
• apply the theorems and definitions to prove results and other characterizations of concepts such as continuity, open, compactness
• develop intuition about the correctness of proofs and identify mistakes.