Fall 2015
Introduction to Differential Geometry (MAS
321. 25.321)
Time: Monday, Wednesday 9:00-10:30
Lecture room: Creative Building E11-302
Instructor:
Suhyoung Choi 4403(office)
Office Hours:
schoi at math dot kaist
dot
ac dot kr Phone: 2732
Use klms.kaist.ac.kr
for all course works.
Course book: Differential Geometry of
Curves and Surfaces, Manfredo P. do Carmo, Prentice-Hall, 1976
(Secondary: Differential
geometry, M. Lipschutz, Schaum’s outlines1969)
Topics:
We will learn the basic theory of
differential
geometry for curves and surfaces. The main goal is to understand the
intrinsic
and
extrinsic geometry of surfaces and curves. We will also learn the
Gauss-Bonnet
theorem. These theories are useful in computer graphics
and also serve as an introduction to modern differential geometry.
Midterm exam 35%, Final exam 35%,
Recitation 20%, Attendance
10%
Course schedules: (please
read ahead, but the schedule may change.)
|
Week |
Date |
Lecture plan |
|
|
1 |
Aug 31, Sept 3 |
Introduction, S. 1-1, 1-2, 1-3, 1-4 |
|
|
2 |
Sept. 7, 9 |
S. 1-4, 1-5, 1-6, |
|
|
3 |
Sept.14, 16 |
S. 1-7, 2-1, 2-2, 2-3 |
|
|
4 |
Sept. 21, 23 |
S. 2-4, 2-5 |
|
|
5 |
Sept. 28, Oct. 1 |
S. 2-6 |
Sept 26-29 holidays, no classes |
|
6. |
Oct. 5, 7 |
S. 2-7, 2-8 |
|
|
7 |
Oct. 12, 14 |
S. 3-1, 3-2 |
|
|
8 |
Oct. 19, 21 |
|
Midterm period, Oct 19-23 |
|
9 |
Oct. 26, 28 |
S. 3-3, 3-4 |
|
|
10 |
Nov. 2, 4 |
S. 3-5 |
|
|
11 |
Nov. 9, 11 |
S. 4-1, 4-2, 4-3 |
|
|
12 |
Nov. 16, 18 |
S. 4-3, 4-4 |
|
|
13 |
Nov. 23, 25 |
S. 4-5 |
Nov. 25, 26 (KAIST enterance exam day, no classes) |
|
14 |
Nov 30, Dec 2 |
S. 4-5, 4-6 |
|
|
15 |
Dec 7, 9 |
S. 4-6, 4-7 |
|
|
16 |
Dec. 14, 16 |
|
Final
exam period, Dec.14-18 |