01:640:441-442Introductory Topology I,II (3,3)
Math 441: Introduction to topology with emphasis on the foundations of analysis; Euclidean spaces, metric spaces, topological spaces, and their properties; applications to analysis. Math 442: Basic concepts of algebraic topology, including the fundamental group, plane curves, homotopy, and a brief introduction to homology.
Prerequisites: CALC4 and either 01:640:300 or permission of department.
Followed in Spring 2008 by Math 442, taught by Prof. Bahri. This is not usually offered.
Math 441 will next be offered in Fall 2008
Topology, (2nd ed.) by James Munkres.
See the 2004 syllabus for a general idea, but be prepared for considerable variation in emphasis from one year to the next.
Previous semesters:
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