MAT 531 
Geometry/Topology II 
Spring 2012 

TuTh 2:20-3:40
Physics P-125 

Prof. Claude LeBrun       
Math Tower 3-108
Tu 11--12, & Th 1--2,
or by appointment.

Grader:  Ilya Elson
Math Tower 3-122
Th 5:00 --6:00,
or by appointment.

This course will offer an introduction to the elementary theory of smooth manifolds.
Topics will include: vector fields, differential forms, vector bundles, Lie derivatives, Stokes' theorem, and de Rham cohomology.

Enrollment in this class is strictly limited to mathematics graduate students, except by explicit permission of the instructor.


John M. Lee,
Introduction to
Smooth Manifolds,

Springer, 2003.

Click here for Homework Page

Important Dates

Review Session Tuesday, April 17 2:20-3:40 pm
Midterm Exam Thursday, April 19 2:20-3:40 pm
Final Exam Friday, May 11 11:15 am-1:45 pm

Your grade will be based upon your performance on the homework, the mid-term, and the final exam. Each exam is worth 25% of your grade, while the homework will determine the remaining 50% of your grade.

Incompletes will be granted only if documented circumstances beyond your control prevent you from taking the final exam.

Homework assignments and other useful information regarding the course will be posted regularly on this web-site.

You may e-mail Prof. LeBrun by This is the best method for making appointments outside normal office hours.

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DSS advisory. If you have a physical, psychiatric, medical, or learning disability that may affect your ability to carry out the assigned course work, please contact the office of Disabled Student Services (DSS), Humanities Building, room 133, telephone 632-6748/TDD. DSS will review your concerns and determine what accommodations may be necessary and appropriate. All information regarding any disability will be treated as strictly confidential.

Students who might require special evacuation procedures in the event of an emergency are urged to discuss their needs with both the instructor and DSS. For important related information, click here.