Math 540: Algebraic topology
Syllabus
Instructor: Aravind Asok
 Office: KAP 400B
 Email: (asok@usc.edu). This
is
the best way to reach me.
 Telephone: 2137402422
 URL: http://wwwbcf.usc.edu/~asok
 Office hours: TBD
Feel free to set
up additional
appointments
via email.
Topics
 The fundamental group; Seifertvan Kampen theorem, covering spaces
 Homology: singular homology, homotopy invariance, basic exact sequences, excision

 Basic topology of manifolds: cohomology and PoincarĂ© duality
Suggested reading: (we will not follow any one textbook)
 A. Hatcher  ``Algebraic Topology"
 E. H. Spanier  ``Algebraic Topology"
 J. P. May  ``A concise course in algebraic topology"
 R. Brown  ``Topology and groupoids"
Grading System:
 Homework: 50%
 Midterm exam: 20%
 Final Exam: 30%
Midterm Exam: In class, TBA
Final Exam: TBA
Collaboration: I strongly encourage you to work in groups.
However, homework you turn in must be written in your own words  homework which is simply copied from another source (friend,
another textbook, internet, etc.) will be considered plagiarized.
Academic Integrity
The instructor strongly adheres
to
the University
policies regarding academic integrity violations, and
will strictly
enforce
these rules. You are encouraged to review those, for
instance in the
20142015
issue of SCampus.
Homework:
Homework 1  Due Monday 11 Sep 2017
Homework 2  Due Wednesday 20 Sep 2017
Homework 3  Due Wednesday 27 Sep 2017
Homework 4  Due Wednesday 4 Oct 2017
Homework 5  Due Friday 13 Oct 2017
Homework 6  Due Monday 23 Oct 2017
Last modified: October 6, 2017