Geometry II (2020 Spring)





Course Description (to be continued)

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

References (to be continued)

Syllabus (調整四週的課在三週上 4x3=3x4)

  • 3/3: Review till 4.4, application of Gauss-Bonnet
  • 3/4: (Tutorial: 第一週沒有習題課 )
  • 3/5: 生病請假,補課在3/10跟3/17
  • 3/10: Application of Gauss Bonnet, Classification of compact surfaces
  • 3/11: (Tutorial: 4.5 )
  • 3/12: Classification of compact surfaces
  • 3/17: Simplicial complex
  • 3/18: (Tutorial: 4.5 )
  • 3/19: Simplicial complex, Homology
  • 3/24: 移課到 3/3
  • 3/25: (Tutorial: )
  • 3/26: Homology
  • 3/31: Homotopy and fundamental group
  • 4/1: (Tutorial: )
  • 4/2: University Holiday
  • 4/7: Fundamental group
  • 4/8: (Tutorial: )
  • 4/9: covering space
  • 4/14: covering space
  • 4/15: (Tutorial: )
  • 4/16: Seifert-van Kampen Theorem
  • 4/21: 移課到 3/31
  • 4/22: (Tutorial: )
  • 4/23: 移課到 4/7, 4/14

  • 4/28: 移課到 5/5
  • 4/29: (Tutorial: )
  • 4/30: Midterm
  • 5/5: geodesic and exponential map
  • 5/6: (Tutorial: )
  • 5/7: geodesic and exponential map
  • 5/12: geodesic and exponential map
  • 5/13:(Tutorial: )
  • 5/14: geodesic 4.6
  • 5/19: geodesic 5.3
  • 5/20: (Tutorial: )
  • 5/21: geodesic 4.7
  • 5/26: 移課到 5/12
  • 5/27: (Tutorial: )
  • 5/28: 移課到 5/19, 6/2
  • 6/2: geodesic 5.4
  • 6/3: (Tutorial: )
  • 6/4: geodesic 5.4
  • 6/9: geodesic 5.5
  • 6/10: (Tutorial: )
  • 6/11: geodesic 5.5
  • 6/16: 移課到6/9(今天加課,再上5.5與5.9)
  • 6/17: (Tutorial: )
  • 6/18: Final Exam
  • Homework (這學期習題不多,請同學一定要交)

    Evaluation


    Last Updated: June 18, 2020
    URL: http://www.math.nthu.edu.tw/~nankuo/G2019S.html