MATH5070 - Topology of Manifolds - 2023/24

Course Name: 
Course Year: 


  • Syllabus [Download file]
  • The final project is due on December 20. Latex is preferred but not required. Topic of Projects [Download file]

General Information


  • Prof. Zhongtao WU
    • Office: LSB 216
    • Tel: 3943-8578
    • Email:

Time and Venue

  • Lecture: Th 2:30PM - 5:15PM, Lady Shaw Bldg 222

Course Description

This course is an introduction to several basic topological invariants for manifolds. Major topics are: differentiable manifolds and maps, Sard's Theorem, degree of maps, fundamental group, covering space, homology group. Students taking this course are expected to have knowledge in elementary analysis.


  • Frank Warner, Foundations of Differentiable Manifolds and Lie Groups
  • John Milnor, Topology from the Differentiable Viewpoint
  • Ib Madsen and Jorgen Tornehave, From Calculus to Cohomology



Assessment Scheme

Homework  40%
Project 40%
Exam 20%

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and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: February 22, 2024 10:29:13