This one-semester three-credit course in Introductory Topology will have three general interconnected objectives.
First, as it has become increasingly apparent that topology is one of the major branches of modern mathematics, this course will provide a firm foundation in topology to enable the student to continue more advanced study in this area. Second, as several important areas of mathematics, in particular modern analysis, depend upon or are clarified by the certain topics in topology, this course will present and emphasize those topics in order to aid the student in his future mathematical studies. Finally, this course hopes to expose the students to both mathematical rigor and abstraction, giving there an opportunity further to develop his mathematical maturity. The key course contents are, topological spaces; separation axioms; continuity, convergence, connectedness, and compactness; basic notions in Homotopy theory; quotient spaces; and Paracompactness, applications of Topology