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Math 680 Introduction to Algebraic Topology.


 Syllabus

 In mathematics you don't understand things. You just get used to them.
-- John von Neumann, Nobel Prize winner.

 

  • Time and Place: MTWRF 3-4:45 at ??? Smith Hall. 
  • Instructor: Peter Saveliev.
  • Office: 756 Smith Hall.
  • Office Hours: MTWRF 4-5, or by appointment.
  • Office Phone: x4639.
  • Home Phone: 697-7827 (9 a.m. - 8 p.m.).
  • E-mail: saveliev@marshall.edu.
  • Class Web-Page: http:\\saveliev.net, then go to Math 690.
  • Prerequisites: MTH 300 and MTH 450.
  • Texts: Topology of Surfaces by Kinsey.
  • Short Description: First course in topology. Basics of point-set topology: topological spaces, continuity, connectedness, compactness, products, quotients. Surfaces and simplicial complexes, Euler characteristics. Introductory algebraic topology: simplicial homology, the fundamental group. Knots, if time permits.
  • Evaluation: 3 tests, final exam, quizzes, weekly homework, presentations.