Introduction to Modern Differential Geometry
Frank W. Warner, Foundations of Differentiable Manifolds and Lie
Groups, Springer, 1983.
I will post all handouts, problem sets, etc. on the web
Tangent and cotangent vectors
Tensor and exterior algebras
Tensor fields and differential forms
Integration on Manifolds (§4):
Orientation of manifolds
Integrals of forms
Another topic, like "Lie Groups" or "Geodesics and Curvature"
There will be weekly problem sets accounting for about 50% of the final mark.
The final exam will account for about 50% of the final mark.
Grades will probably be scaled.
The final examination will be strictly
closed book: no formula sheets or calculators will be allowed.
There is no supplemental examination in this course.
Late homework assignments normally receive a grade of 0.
Missing a homework normally results in a mark of 0.
Exceptions may be granted in two cases: prior consent of the instructor
or a medical emergency.