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  1. Algebraic Structures

    https://www.math.cuhk.edu.hk/course/math2070
    Course Description:  This course is intended as an introduction to modern abstract algebra and the way of algebraic thinking in advanced mathematics. The course focuses on basic algebraic concepts which arise in various areas of ...

  2. Differential Geometry

    https://www.math.cuhk.edu.hk/course/math4030
    Course Description:  This course covers basic theory on curves, and surfaces in the Euclidean three ... geodesic, and Gauss-Bonnet Theorem. Students taking this course are expected to have knowledge in advanced calculus, linear algebra, ...

  5. Discrete Mathematics

    https://www.math.cuhk.edu.hk/course/mmat5210
    Course Description:  This course is designed for the M.Sc. Programme in Mathematics. The course is an introduction to discrete mathematics; topics will be chosen ...

  9. Topology of Manifolds

    https://www.math.cuhk.edu.hk/course/math5070
    Course Description:  This course is an introduction to several basic topological invariants for ... covering space, homology group. Students taking this course are expected to have knowledge in elementary analysis. ...