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  1. 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, ...

  3. 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. ...

  4. 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 ...

  6. 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 ...

  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 ...

  8. 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. ...

  10. The information in this page is application to students admited in 2025-26.

    https://www.math.cuhk.edu.hk/undergraduates/streams-math-majors/information-page-application-students-admited-2025-26
    ... the presumed background mathematical knowledge for the course is stated explicitly in the form of official ... the minimal required background for taking the course concerned. In general, more background mathematical knowledge than ... the pre-requisites/co-requisites could be assumed for a MATH course listed in the stream requirements. Very often the information is ...