Instructor: Prof. Nikolai Saveliev

Office: 409 Ungar Building
Phone: (305) 284-2418
saveliev@math.miami.edu
http://www.math.miami.edu/~saveliev

Office hours:  Wednesday 2 – 4 pm, also by appointment

 


 

MTH  532 P *   TOPOLOGY  II

SPRING  2017

Text

Differential Topology, by Victor Guillemin and Alan Pollack, AMS Chelsea Publishing, 2010

Course content

This is the second semester of the introductory topology course. It covers basics of the topology of smooth manifolds, including definition and examples of smooth manifolds and maps, submanifolds and transversality, Sard's theorem, some intersection theory with applications to topology, differential forms, integration on manifolds and Stokes’ theorem.

Homework

The homework will be assigned during the class. Homework assignments can also be found at http://www.math.miami.edu/~saveliev/hwk532.html.  The homework will be collected and graded. The homework assigned during any given week will be collected on Thursday next week.

Tests

There will be one midterm and the final. The time of the midterm will be announced at least two weeks in advance. The final exam is scheduled for Thursday, May 4, from 11 am to 1:30 pm.