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  1. Topology of Manifolds

    https://www.math.cuhk.edu.hk/course/math5070
    Course Description:  This course is an introduction to several basic topological invariants for ... differentiable manifolds and maps, Sard's Theorem, degree of maps, fundamental group, covering space, homology group. Students taking ...

  3. Appreciation of Mathematics

    https://www.math.cuhk.edu.hk/course/ugeb2460
    Course Description:  (Engineering Faculty, Mathematics Majors and ... and students who have taken MAT2300 cannot take this course to fulfil General Education requirements.) This course is designed for students of Arts and Social Sciences. It aims at helping students appreciate ...

  4. Honours Algebraic Structures

    https://www.math.cuhk.edu.hk/course/math2078
    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 ...

  5. Real Analysis I

    https://www.math.cuhk.edu.hk/course/math5011
    Course Description:  This course provides a solid foundation in the Lebesgue integration theory and basic techniques in analysis. Topics include ￡m-algebra of sets, measure theory, Lebesgue integration theory, convergence theorems, ...

  9. Big Data Computing

    https://www.math.cuhk.edu.hk/course/math3330
    Course Description:  This course provides students with practical experience in using mathematical ... big data computing, numerical optimization and simulations of practical mathematical models through various programming and software ...