Differential Geometry 2 (미분기하학)

Class Info

Class Number: Math 373
Dates: Mar 6, 2012 - Jun 7, 2012
Room: NS 319
Meeting time:
Tuesday 13:30 - 14:45
Thursday 13:30 - 14:45

Text: Barrett O'Neill, Elementary Differential Geometry, Rev. 2nd Ed., Elsevier 2006
Links
Homework
Material covered

Final Exam Term: Thu June 14, 13:30 - 15:00, in NS319.

The final exam is an open book written test, with only electronic aids disallowed.

Syllabus

Week Chapters Topics
1 1--3 Summary of Part 1
2 4.1 Surfaces in R^3
3 4.2 Patch Computations
4 4.3 Differentiable Functions and Tangent Vectors
5 4.4 Differential Forms on a Surface
6 4.5 Mappings of Surfaces
7 4.6 Integration of Forms
8 Midterm Exam
9 4.7 Topological Properties of Surfaces
10 4.8 Manifolds
11 5.1-2 Shape Operator of a Manifold, Normal Curvature
12 5.3 Gaussian Curvature
13 5.4-5 Computational Techniques, Implicit Case
14 5.6 Special Curves in a Surface
15 Final Exam

Grading

We will have a mid-term test in April,
and a final exam in June.
The grades will be accorded the following weights.
Attendance 10%
Mid-term: 40%
Final: 50%

Homework

I will assign homework on Thursdays for the material covered that week.
It will be due to hand in on the following Thursday.
Last modified: Thu May 24 12:22:58 KST 2012