Differential Geometry I Math 6440, 8440
Schedule
and Homework
PDF format of the syllabus
Here is some basic course info:
|
Instructor |
Prof. Mao-Pei Tsui |
|
Meets |
MWF 12pm-12:50pm, UH 3008 |
|
Prerequisites |
MATH 6410 |
|
Text |
Introduction to Smooth Manifolds (Graduate Texts in Mathematics Vol 218) (Paperback) by John M, Lee |
| General Description | This course is the first part of
a two semester'a course. The subject will be smooth or differentiable
manifolds, which are manifolds on which derivatives of functions and
maps make sense. We will study the basic flora and fauna that live on
them: submanifolds, tangent vectors, vector fields, flows, Riemannian
metrics and their simple properties, tensor fields, differential forms,
orientations. The basic theory and examples of Lie groups (which are
groups that are also smooth manifolds) will be discussed throughout the
course. |
|
Office Hours |
UH2080B M 2:00-3:00pm, W 2:00-4:00pm, F 4:00-5:00pm or make appointment |
|
Homework |
Homework is posted on the
Schedule
and Homework . |
|
Final Exam |
There will be one take home final exam around the last week of the class. |
|
Academic |
It is the obligation of each student to understand the University's policies regarding academic honesty and to uphold these standards. Students are encouraged to talk about the problems, but should write up the solutions individually. Students should acknowledge the assistance of any book, software, student or professor. |
|
Grade |
70%Homework |
