Algebraic Topology OpenCourseWare: A Free Online Graduate Study Course by MIT on Algebraic Topology
Students of applied mathematics may be interested in the OpenCourseWare 'Algebraic Topology' offered by the Massachusetts Institutes of Technology (MIT). This free course introduces graduate-level students to the basic concepts of algebraic topology. Students should have previous coursework in advanced mathematics at the graduate level before beginning this course.
Algebraic Topology: Course Specifics
| Degree Level | Free | Audio | Video | Downloads |
|---|---|---|---|---|
| Graduate | Yes | No | No | Yes |
| Lectures/Notes | Study Materials | Tests/Quizzes |
|---|---|---|
| No | Yes | No |
Algebraic Topology: Course Description
This course, originally instructed by MIT's Dr. Tyler Lawson, serves as a graduate-level introduction to algebraic topology. Students concentrate on singular homology and the dual theory of singular cohomology. Students are also introduced to Kunneth formulas, intersection pairings, cup products and the Lefschetz fixed point theorem. Topics for 'Algebraic Topology' are presented through a series of readings and further explored through the assigned problem sets. The required textbook for the course, Allen Hatcher's Algebraic Topology, is available in print or online. Students interested in the 'Algebraic Topology' course should have prior understanding of advanced algebra and basic point set topology.
The OpenCourseWare includes readings and problem sets. If you are interested in taking this free course, visit the algebraic topology course web page.
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