授課計畫表
科目名稱 幾何學 BMA303
- 授課教師 符之琪
- 上課時間 Mon(1,2) Fri(3,4)雙// 地點 B710
- 課輔時間 Mon(5,6), Th(5,6)或預約時間 //地點 F303
- 成績:
期中考 30
習題 30
學期考 40
- 教科書 Oprea : Differential Geometry and its application
本課程討論空間中的曲線與曲面,
局部上,從幾何量如曲率,可刻劃特殊的曲線與曲面,
大域上,用全曲率的積分,可得虧格的拓樸量,
這是分類曲線與曲面的一種根據
- 1 9/17 curves
- 2 9/28 coordinates
- 3 10/1 Frenet formula
- 4 10/8 implications
- 5 10/12 general curves
- 6 10/15 isoperimetric inequality
- 7 10/22 surface
- 8 10/26 inverse function theorem
- 9 10/29 linear algebra on tangents
- 10 11/5 shape operator
- 11 11/9 normal curvature
-
- 12 11/12 期中考
-
- 13 11/19 Egregium Theorema
- 14 11/23 Gauss equation
- 15 11/26 surface of revolution
- 16 12/3 effect of curvature
- 17 12/7 surface of Delaunay
- 18 12/10 elliptic function
- 19 12/17 surface of constant Gaussian curvature
- 20 12/21 minimal surface
- 21 12/31 area minimization
- 22 1/4 constant mean curvature
- 23 1/7 analytic and harmonic functions
- 24 1/11 Weierstrass representation
-
- 25 1/14 學期考