Prof. Claude LeBrun
Grader: Alexandra Viktorova
This course provides 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 the course is strictly limited to graduate students, except by explicit permission of the mathematics graduate program director.
Textbook:John M. Lee,
|Midterm Exam||Thursday, Mar 12||1:00--2:20 pm|
|Final Exam||Tuesday, May 19||2:15--5:00 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.
In keeping with the university's corona-virus emergency policies, all instruction for the course will take place online, starting Tuesday, March 31.
Our classes will thus be held at the previously-scheduled times, but will now be conducted via video-link, using Zoom.
Office hours will also be held at the previously-scheduled times, as well as by appointment, but again via Zoom rather than as face-to-face meetings.
Homework will henceforth be submitted by e-mail, by Homework is due at the beginning of class on the indicated day.
Homework may be submitted either as a scan of your hand-written solutions, or as the PDF produced by typing your solutions as a LaTeX file.
The final exam will be open-book, but collaboration will be forbidden. It will be due at the end of the previously-announced final-exam slot, and will be made available 24 hours prior.
Homework assignments and other useful information regarding the
course will be posted regularly
You may e-mail Prof. LeBrun by This is the best method for making appointments outside normal office hours.
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SASC 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 Student Accessibility Support Services, 128 Educational Communications Center (ECC), telephone 632-6748/TDD. The SASC will review your concerns and determine what accommodations may be necessary and appropriate. All information regarding any disability will be treated as strictly confidential.
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