General Information (Catalog listing)
01:640:441-442 Introductory 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.
The course Math 311 (Analysis I) is strongly recommended as preparation for students wishing to take Math 441 and is under review as for addition as a formal prerequisite.
Topology, (2nd ed.) by James Munkres, Pearson, ISBN: 9780131816299.
See the 2004 syllabus for a general idea, but be prepared for considerable variation in emphasis from one year to the next.
This course is offered during the Fall semester.
Sections Taught This Semester: