Ma 232: Introduction to Algebraic Topology
Timings and Venue:
Venue: LHV (top floor), Department of Mathematics.
Lecture times: Mon, Wed, Fri: 9:00  10:00 a.m.
Instructor and Tutor
Instructor: Siddhartha Gadgil
email: siddhartha DOT gadgil At gmail DOT com
Tutor: Arpan Kabiraj
Syllabus:
The fundamental group: Homotopy of maps, multiplication of paths, the fundamental group, induced homomorphisms, the fundamental group of the circle, covering spaces, lifting theorems, the universal covering space, SeifertVan Kampen theorem, applications.
Simplicial Complexes, Simplicial and Singular homology  Definitions, Properties and Applications.
References:
The main reference for this course is:
 Hatcher, A., Algebraic Topology, Cambridge Univ. Press, 2002; an Indian Edition is Available and the book is also available online.
Other useful references are the following.

Armstong, M.A., Basic Topology, , Springer (India), 2004.
 Munkres, J. R., Topology, Pearson Education, 2005.

Greenberg, M. J., Lectures on Algebraic Topology. W. A. Bejamin Inc., London, 1973.
 Munkres, J. R., Elements of Algebraic Topology, AddisonWesley, 1984. Spanier, E. H., Algebraic Topology, tata McGrawHill, 1966
Old Course Notes:
A previous version of the course (with related but different content) was taught with a virtual whiteboard (using a Tablet PC). The whiteboards for Fundamental groups and Homology are posted here in PDF format.
Note: The whiteboard files are in Landscape mode. Please ensure that the setting is in this mode when printing and rotate while viewing.