Geometry II (2022 Spring)

Textbook: (1) M. do Carmo, Differential Geometry of curves and surfaces. (2) Elementary algebraic topology.
Room: 綜三203
Time: T8(9)R78 (課程時間細節請注意下方描述)
因應疫情發展，學校宣布5/11起執行全校遠距教學，直播連結是這裡。
Tutorial: Wed 7-9 pm , 綜三115 (助教:徐靖家)
期中考及期末考除了公假、病假、喪假外，其餘事假均不接受。
公假、喪假要有假單，病假需付考試當時就診證明(包含被要求居家檢疫)。
由於疫情不穩定，下面的進度只是預估(以*標記預估進度，完成的會將*移除)。考試日期也是預估，很可能會有改變，請同學注意網頁的UPDATE

Course Description (to be continued)

The material that will be covered in the Spring semester includes (but not restricted to) the following:

黃武雄,初等微分幾何講稿(第一卷，曲線篇，曲面篇)
A.N. Pressley, Elementary Differential Geometry. SUMS (這本書非常適合自己念，淺顯易懂)
L.Tu, An Introduction to Manifolds, UTX.
M. do Carmo, Differential forms and applications, UTX.
S. Morita, Geometry of Differential forms.
I.M. Singer and J.A. Thorpe, Lecture notes on Elementary Topology and Geometry, UTM.
W.S. Massey, A Basic Course in Algebraic Topology, GTM.
M.Spivak, A Comprehensive Introduction to Differential Geometry I-V.

4/19: 4.6: geodesic and exponential map 上兩堂，因為要補3/24病假

4/20: (Tutorial: )

4/21: 4.7: further properties of geodesics

4/26: 請病假

4/27:(Tutorial: )

4/28: 4.7: further properties of geodesics

5/3: 5.3: geodesic completeness

5/4: (Tutorial: )

5/5: 5.3: Hopf-Rinow Theorem, 5.4 variational vector fields

5/10: 5.4 variational formula 上兩堂，因為要補3/24病假

5/11: (Tutorial: )

5/12: 5.4 (因應疫情發展，學校宣布5/11起執行兩週全校遠距教學，直播連結是這裡)

5/17: 5.5 (5/16學校宣布全校遠距教學到期末) 上兩堂，因為要補4/26病假

5/18: (Tutorial: )

5/19: 5.5

5/24: 移到5/31一起上

5/25: (Tutorial: )

5/26: 5.5

5/31: 5.9 上兩堂

6/1: (Tutorial: )

6/2: 5.9

6/8: (Tutorial: )

6/9: Final Exam: 4.6, 5.3, 5.4, 5.5

6/14*: 4 pm 看考卷

Last Updated: June 13, 2022
URL: http://www.math.nthu.edu.tw/~nankuo/G2022S.html