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Courses

The following course list is based on the Course Catalog | CUHK Mathematics from Department of Mathematics, the Chinese University of Hong Kong:

Course Catalog

🟢 MATH1010: University Mathematics - Course material available [pdf, tex]
🔵 MATH1018: Honours University Mathematics - Equivalent to MATH1010
🔴 MATH1020: General Mathematics - Work not started
🟢 MATH1030: Linear Algebra I - Course material available [pdf, tex]
🔵 MATH1038: Honours Linear Algebra I - Equivalent to MATH1030
🟡 MATH1050: Foundation of Modern Mathematics - Work in progress
🔵 MATH1058: Honours Foundation of Modern Mathematics - Equivalent to MATH1050
🔴 MATH1510: Calculus for Engineers - Work not started
🔴 MATH1520: University Mathematics for Applications - Work not started
🔴 MATH1530: Basic Mathematics for Business and Social Sciences - Work not started
🔴 MATH1540: University Mathematics for Financial Studies - Work not started
🔴 MATH1550: Methods of Matrices and Linear Algebra - Work not started
🟡 MATH2010: Advanced Calculus I - Work in progress
🔵 MATH2018: Honours Advanced Calculus I - Equivalent to MATH2010
🟡 MATH2020: Advanced Calculus II - Work in progress
🔵 MATH2028: Honours Advanced Calculus II - Equivalent to MATH2020
🟡 MATH2040: Linear Algebra II - Work in progress
🔵 MATH2048: Honours Linear Algebra II - Equivalent to MATH2040
🟡 MATH2050: Mathematical Analysis - Work in progress
🔴 MATH2055: Introduction to Analysis - Work not started
🔵 MATH2058: Honours Mathematical Analysis - Equivalent to MATH2050
🟡 MATH2060: Mathematical Analysis II - Work in progress
🔵 MATH2068: Honours Mathematical Analysis II - Equivalent to MATH2060
🟢 MATH2070: Algebraic Structures - Course material available [pdf, tex]
🔵 MATH2078: Honours Algebraic Structures - Equivalent to MATH2070
🔴 MATH2083: Essential Mathematical Methods I - Work not started
🔴 MATH2093: Essential Mathematical Methods II - Work not started
MATH2210: Mathematics Laboratory I - Unsuitable for making course material
MATH2221: Mathematics Laboratory II - Unsuitable for making course material
🟡 MATH2230: Complex Variables with Applications - Work in progress
🔴 MATH2510: Linear Algebra and Applications - Work not started
🔴 MATH2530: Advanced Calculus I for Physical Science and Engineering - Work not started
🔴 MATH2550: Quantitative Methods for Earth and Environmental Sciences - Work not started
MATH2911: Programming for Mathematics - Unsuitable for making course material
🔴 MATH3010: Higher Geometry - Work not started
🔴 MATH3020: Axiomatic Set Theory and Applications - Work not started
🟡 MATH3030: Abstract Algebra - Work in progress
🔴 MATH3040: Fields and Galois Theory - Work not started
🟢 MATH3060: Mathematical Analysis III - Course material available [pdf, tex]
🔴 MATH3070: Introduction to Topology - Work not started
🟡 MATH3080: Number Theory - Work in progress
🟡 MATH3093: Fourier Analysis - Work in progress
🔴 MATH3210: Linear Programming - Work not started
🔴 MATH3215: Operations Research - Work not started
🔴 MATH3220: Operations Research and Logistics - Work not started
🟡 MATH3230: Numerical Analysis - Work in progress
🟡 MATH3240: Numerical Methods for Differential Equations - Work in progress
🔴 MATH3250: Discrete Mathematics - Work not started
🔴 MATH3253: Complex Variables and Applications - Work not started
🔴 MATH3260: Graph Theory - Work not started
🟡 MATH3270: Ordinary Differential Equations - Work in progress
🟢 MATH3280: Introductory Probability - Course material available [pdf, tex]
🟡 MATH3290: Mathematical Modeling - Work in progress
MATH3310: Computational and Applied Mathematics - Unsuitable for making course material
🔴 MATH3320: Foundation of Data Analytics - Work not started
🔴 MATH3330: Big Data Computing - Work not started
🔴 MATH3340: Mathematics of Machine Learning - Work not started
🔴 MATH3360: Mathematical Imaging - Work not started
MATH3413: Seminar I - Unsuitable for making course material
MATH3423: Seminar II - Unsuitable for making course material
🔴 MATH4010: Functional Analysis - Work not started
🔴 MATH4020: Calculus of Variations - Work not started
🔴 MATH4030: Differential Geometry - Work not started
🔴 MATH4050: Real Analysis - Work not started
🔴 MATH4060: Complex Analysis - Work not started
🔴 MATH4080: Modules and Representation Theory - Work not started
🔴 MATH4210: Financial Mathematics - Work not started
🟡 MATH4220: Partial Differential Equations - Work in progress
🔴 MATH4230: Optimization Theory - Work not started
🔴 MATH4240: Stochastic Processes - Work not started
🔴 MATH4250: Game Theory - Work not started
🔴 MATH4260: Coding Theory and Cryptography - Work not started
🔴 MATH4270: Discrete Dynamics and Fractals - Work not started
🔴 MATH4280: Innovation and Design in Big Data Analytics - Work not started
MATH4400: Project - Unsuitable for making course material
MATH4900: Seminar - Unsuitable for making course material

Due to limited resources, only undergraduate courses are considered for now.

🟦 Remarks on Honours Courses

Starting from academic year 2020-2021, a series of Honours courses (with coursecode ending with 8 instead of 0) are introduced. However, honours courses are assumed to have equivalent contents to their corresponding courses in the past. Hence, current contents will not be modified unless significant difference is found. For more details to Honours courses, please visit Honours Courses.

⬛ Remarks on Unsuitable Courses

Projects and seminars does not contain any course material for learning. For other courses, they are usually programming courses that does not involve sufficient course material about Mathematics.