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  1. Real Analysis II

    https://www.math.cuhk.edu.hk/course/math5012
    Course Description:  This course provides more advanced topics in real analysis. Topics include signed ... and Riesz representation theorem. Students taking this course are expected to have knowledge in MAT5011 or its equivalent. ...

  2. 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 ...

  3. 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, ...

  4. Axiomatic Set Theory and Applications

    https://www.math.cuhk.edu.hk/course/math3020
    Course Description:  This course is designed for both MATH and non-MATH majors who want to learn the set ... with other areas of thought, science and technology. The course places special emphasis on the concepts of axiomatic set-theory, ...

  6. Introduction to Combinatorics

    https://www.math.cuhk.edu.hk/course/mmat5610
    Course Description:  This course is designed for the M.Sc. Programme in Mathematics Education. This course aims to introduce the principles and techniques of combinatorics. ...

  7. 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 ...

  10. Markov Chains and Algorithmic Applications

    https://www.math.cuhk.edu.hk/course/mmat5394
    Course Description:  This course aims to familiarise students with the theory of Markov Chains and ... network science using different randomised algorithms. The course aims to introduce the theory of Markov chains, focusing on their ...