Geometry II (2015 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

  • 2/24: Review Chapter 2&3
  • 2/26: Review Chapter 4 (till 4.4)
  • 3/3: 4.5 Gauss Bonnet(local)(Tutorial: )
  • 3/5: 4.5 Gauss Bonnet(global)
  • 3/10: Application of Gauss Bonnet(Tutorial: )
  • 3/12: Classification of compact surfaces
  • 3/17: Classification of compact surfaces(Tutorial: )
  • 3/19: Simplicial complex
  • 3/24: Homology(Tutorial: )
  • 3/26: Homology
  • 3/31: Homology and definition of manifolds(Tutorial: )
  • 4/2: Definition of manifolds
  • 4/7: Riemannian metric(Tutorial: )
  • 4/9: Riemannian and vector fields
  • 4/14: Affine connections(Tutorial: )
  • 4/16: Covariant derivative

  • 4/21: Examples(Tutorial: )
  • 4/23:
  • 4/28: (Tutorial: )
  • 4/30: Midterm (three hours)
  • 5/5: (Tutorial: )
  • 5/7:
  • 5/12: move to 4/30 midterm (Tutorial: )
  • 5/14:
  • 5/19: (Tutorial: )
  • 5/21:
  • 5/26: (Tutorial: )
  • 5/28:
  • 6/2: (Tutorial: )
  • 6/4:
  • 6/9: (Tutorial: )
  • 6/11:
  • 6/16: (Tutorial: review)
  • 6/18: Final Exam:
  • Homework

    Evaluation


    Last Updated: March 30, 2015
    URL: http://www.math.nthu.edu.tw/~nankuo/G2014S.html