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  1. Introduction to Analysis

    https://www.math.cuhk.edu.hk/course/math2055
    Course Description:  This course is designed for students who are intending to acquire understanding ... include: limit, continuity, differentiation and integration of real-valued functions of one real variable; convergence of sequences and ...

  2. Functional Analysis

    https://www.math.cuhk.edu.hk/course/math4010
    Course Description:  Metric spaces, fixed point theorems, Banach ... principle and the open mapping theorem, and applications of the above topics. Students taking this course are expected to have knowledge in elementary analysis and linear ...

  4. MATH4050 - Real Analysis - 2014/15

    https://www.math.cuhk.edu.hk/course/1415/math4050
    Course Name:  Real Analysis Teacher:  Prof. Kung Fu NG Course Year:  2014/15 Term:  2 math4050 ...

  6. Methods of Matrices and Linear Algebra

    https://www.math.cuhk.edu.hk/course/math1550
    Course Description:  This course is providing a matrix oriented approach for an elementary introduction to linear algebra. ... and calculation skills on matrix operations, systems of linear equations, determinants, orthogonality, eigenvalues and eigenvectors. ...

  7. Foundation of Modern Mathematics

    https://www.math.cuhk.edu.hk/course/math1050
    Course Description:  This course introduces rigorous mathematical reasoning, proofs, and high dimensional geometry. The use of logic in mathematics and various methods of proof will be illustrated by concrete examples from a variety of topics in mathematics. Course Code:  MATH1050 ...

  9. Topics in Geometry

    https://www.math.cuhk.edu.hk/course/mmat5120
    Course Description:  This course is intended to provide a brief, but solid, modern introduction to various basic geometries using ...

  10. MATH2010A - Advanced Calculus I - 2014/15

    https://www.math.cuhk.edu.hk/course/1415/math2010a
    Course Name:  Advanced Calculus I Teacher:  Prof. Renjun DUAN Course Year:  2014/15 Term:  1 math2010a ...