Mathematics 441 – Introduction to Topology
(01:640:441)
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.
Current Semester
Math 441 will be offered in Fall 2008. At this time (May 2008) the course is full, so that registration through the web will be possible only if someone drops the course. Students who are not registered but are interested in taking the class may request permission to register by sending email to the instructor, Prof. E. Speer. Please be aware, however, that Math 441 is a difficult, rigorous course, and that permission to register while the course is closed will be given only to well-motivated students with strong records in mathematics classes.
Textbook
Topology, (2nd ed.) by James Munkres.
Syllabus
See the 2004 syllabus for a general idea, but be prepared for considerable variation in emphasis from one year to the next.
Archives
Previous semesters:
- Fall 2007: Prof. Bahri. Followed in Spring 2008 by Math 442, taught by Prof. Bahri.
- Whether 442 runs depends on enrolments. It will be offered again in Spring 2009, if enrolments are sufficient.
- Spring 2007: Prof. Chanillo.
- Fall 2005, Prof. Sahi (no webpage)
- Fall 2004, Prof. Luo
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