Time and Place: TTH 11:00-12:15, HUM 422
COURSE DESCRIPTION
Manifold theory, with its emphasis on global geometry, has become much more
important in many branches of both pure and applied mathematics in the last
quarter of a century. It is the backbone of any further study in differential geometry, and it has now reached the status of being a standard course
in the graduate curriculum. Thus, the purpose of this course is to provide the student with the foundations for the study of modern differential geometry. It is assumed that the student has a basic understanding of linear algebra, group theory, advanced calculus, and some point set topology. I will review some basic topological notions as we need them in the course.
I hope to be able to cover the material in Lee's book up through Stokes Theorem on manifolds.
I also have some old typed notes part of which I may distribute as supplemental reading.
Grading Policy:
I will make periodic homework assignments which will be announced in class and posted on my webpage. Grades for the class will be based on these homework assignments and class participation.You can get a ps or pdf file of the course syllabus here.
You can get supplementary notes here.
You can see reading assignments here.
You can see homework assignments here.
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