G E O M E T R Y ,    F A L L   2 0 2 5

Course Information

• NTU COOL
• Lectures: Wednesday, 10:20 ~ 12:10, and Friday 10:20 ~ 11:10; at Astro-Math 102
• Office hour: TBA at Astro-Math 458
• Course Assistant: 連焌凱
       Problem session: Friday 11:20 ~ 12:10; at Astro-Math 102
       Office hour: TBA
• Course prerequisite: linear algebra and mathematical analysis
       It will be helpful if you are familiar with general topology. (more precisely, ch.1 of Topology and Geometry by Glen Bredon mathscinet)
• Grading scheme:
  • Homework 30%
         You have two jokers: the lowest two grades will be discarded.
  • Midterm 35%   on October 22
  • Final Exam 35%   on December 17
• Main Topics:
  1. Theory of surfaces
  2. Differentiable manifolds
  3. Differential forms
• Textbooks:
  • Felix Schulze, Geometry of Curves and Surfaces. file
  • Loring W. Tu, An Introduction to Manifolds. file (via NTU IP)
• Other references:
  • Manfredo do Carmo, Differential Geometry of Curves and Surfaces.
  • Theodore Shifrin, Differential Geometry: A First Course in Curves and Surfaces. file
  • John M. Lee, Introduction to Smooth Manifolds. file (via NTU IP)

Lecture summaries and references

Homework

• Homework 01: ...

Up to the homepage of Chung-Jun Tsai