Pre-requisites, co-requisites, exclusion clauses, and advisory notes for MATH level-1000-to-4000 courses.

In effect from 1st July 2025.

This purpose of this page is to provide a quick and easy reference for teachers and students on CUSIS information concerned with various MATH undergraduate courses. For the most accurate information, refer to the CUSIS.

Content.

Level-1000 courses.

Course. Course Title. Pre-requisite. Co-requisite. Exclusion clause. Advisory notes.
MATH1010 University Mathematics Not for students who have taken MATH1018 or students who are taking MATH1520 in the same term.
MATH1018 Honours University Mathematics Not for students who have taken MATH1010 or students who are taking MATH1520 in the same term.
MATH1020 General Mathematics
MATH1025 Essential Mathematical Methods MATH1010/1018. Not for students who have taken MATH1028, 1050/1058, or students who are taking MATH1525 in the same term.
MATH1028 Honours Essential Mathematical Methods MATH1018. Not for students who have taken MATH1025, 1050/1058, or students who are taking MATH1525 in the same term.
MATH1030 Linear Algebra I Not for students who have taken MATH1038 or students who are taking MATH1550 in the same term.
MATH1038 Honours Linear Algebra I
  • [Alternative 1] Grade B- or above in each of MATH1018, 1028.
  • [Alternative 2] Grade A- or above in each of MATH1010, 1025.
 Not for students who have taken MATH1030 or students who are taking MATH1550 in the same term.
MATH1050 Foundation of Modern Mathematics MATH1010/1018 or (Grade B or above in MATH1510 or 1520). MATH1030/1038 or ENGG1410 or ESTR1004 or ENGG1120 or ESTR1005. Not for students who have taken MATH1025/1028, 1058, 1090/1098.
MATH1058 Honours Foundation of Modern Mathematics
  • [Alternative 1] Grade B- or above in each of MATH1018, 1038.
  • [Alternative 2] Grade A- or above in each of MATH1010, 1030.
 Not for students who have taken MATH1025/1028, 1050, 1090/1098.
MATH1090 Introduction to Set Theory
  • [Option 1] MATH1010/1018 or (Grade B or above in MATH1510 or 1520) or (Grade A- or above in ENGG1125/ESTR1007) with co-requisite (MATH1025/1028 and MATH1030/1038).

Please refer to the Note if you have fulfilled one of the following pre-requisites.

  • [Option 2] Grade A- or above in two of ENGG1125/ESTR1007, ENGG1120/ESTR1005, ENGG1130/ESTR1006.
  • [Option 3] (Grade A- or above in each of ECON1101, 1111) with co-requisite MATH1010/1018 or 1025/1028 or 1030/1038.
 Please refer to the pre-requisite(s). Not for students who have taken MATH1050/1058 or 1098.
MATH1098 Honours Introduction to Set Theory
  • [Alternative 1] Grade B- or above in each of MATH1018, 1028.
  • [Alternative 2] Grade A- or above in each of MATH1010, 1025.
 MATH1030/1038. Not for students who have taken MATH1050/1058 or 1090.
MATH1510 Calculus for Engineers
MATH1520 University Mathematics for Applications Not for students who have taken MATH1010/1018.
MATH1525 Basic Mathematics for Science and Technology Not for students who have taken any one of MATH1010/1018, 1025/1028, 1530.
MATH1530 Basic Mathematics for Business and Social Sciences Not for students who have taken any one of MATH1010/1018, 1025/1028, 1030/1038, 1525, 2xxx or above.
MATH1540 University Mathematics for Financial Studies MATH1010.
MATH1550 Methods of Matrices and Linear Algebra Not for students who have taken MATH1030/1038.
MATH1610 Linear Algebra for Advanced Accounting Analytics Not for students who have taken MATH1010/1018 or 1025/1028 or 1030/1038 or 1510 or 1520 or 1525 or 1530 or 1550.
MATH1620 Calculus for Advanced Accounting Analytics Not for students who have taken MATH1010/1018 or 1025/1028 or 1030/1038 or 1510 or 1525 or 1530 or 1550.

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Level-2000 courses.

Course. Course Title. Pre-requisite. Co-requisite. Exclusion clause. Advisory notes.
MATH2010 Advanced Calculus I
  • [Option 1] MATH1010/1018, with co-requisite (MATH1030/1038 or 1050/1058 or 1090/1098).
  • [Option 2] (Grade B or above in MATH1510 or 1520) with co-requisite (MATH1030/1038 or 1050/1058 or 1090/1098)

Please refer to the Note if you have fulfilled one of the following pre-requisites.

  • [Option 3] Grade A- or above in two of ENGG1125/ESTR1007, ENGG1120/ESTR1005, ENGG1130/ESTR1006.
  • [Option 4] (ENGG1130 or ESTR1006) and (MATH1030/1038 or 1050/1058 or 1090/1098).
  • [Option 5] Grade A- or above in each of ECON1101, 1111, with co-requisite (MATH1010/1018 or 1025/1028 or 1030/1038 or 1050/1058 or 1090/1098)
  • [Option 6] ECON1101 and 1111 and (MATH1010/1018 or 1025/1028 or 1030/1038 or 1050/1058 or 1090/1098).
 Please refer to the pre-requisite(s). Not for students who have taken any one of MATH2018, 2020/2028, or students who are taking MATH2530 in the same term.
MATH2018 Honours Advanced Calculus I
  • [Option 1] Grade B- or above in two of MATH1018, 1028, 1038.
  • [Option 2] Grade A- or above in two of MATH1010, 1025, 1030.
 MATH1050/1058 or 1090/1098. Not for students who have taken MATH2010, 2020/2028 or who are taking MATH2530 in the same term.
MATH2020 Advanced Calculus II
  • [Alternative 1] MATH2010/2018.
  • [Alternative 2] Grade A- or above in two of ENGG1125/ESTR1007, ENGG1120/ESTR1005, ENGG1130/ESTR1006.
 Not for students who have taken MATH2028 or students who are taking MATH2550 in the same term. This is a continuation of MATH2010.
MATH2028 Honours Advanced Calculus II
  • [Alternative 1] Grade B- or above in MATH2018, and one of MATH1058, 1098, 2048.
  • [Alternative 2] Grade A- or above in MATH2010, and one of MATH1050, 1090, 2040.
 Not for students who have taken MATH2020 or who are taking MATH2550 in the same term. This is a continuation of MATH2018.
MATH2040 Linear Algebra II (MATH1030/1038 or ENGG1120 or ESTR1005) and (MATH1050/1058 or MATH1090/1098). Not for students who have taken MATH2048. This is a continuation of MATH1030.
MATH2048 Honours Linear Algebra II
  • [Alternative 1] Grade B- or above in one of MATH1038, 2018, and Grade B- or above in one of MATH1058, 1098.
  • [Alternative 2] Grade A- or above in MATH1030, and Grade A- or above in one of MATH1050, 1090.
 Not for students who have taken MATH2040. This is a continuation of MATH1038.
MATH2050 Mathematical Analysis I
  • [Option 1] [MATH1010/1018 (or Grade B or above in MATH1510 or 1520)], and (MATH1050/1058 or MATH1090/1098).

Please refer to the Note if you have fulfilled one of the following pre-requisites.

  • [Option 2] (Grade A- or above in each of ENGG1120/ESTR1005, ENGG1130/ESTR1006) and (MATH1050/1058 or 1090/1098).
  • [Optione 3] (Grade A- or above in each of ECON1101, 1111) and (MATH1050/1058 or 1090/1098).
 Not for students who have taken MATH2058.
MATH2058 Honours Mathematical Analysis I
  • [Alternative 1] Grade B- or above in each of MATH1018, 1028, 1098 OR in each of MATH1058, 2018
  • [Alternative 2] Grade A- or above in each of MATH1010, 1025, 1090 OR in each of MATH1050, 2010
 Not for students who have taken MATH2050.
MATH2060 Mathematical Analysis II MATH2050/2058. Not for students who have taken MATH2068. This is a continuation of MATH2050.
MATH2068 Honours Mathematical Analysis II
  • [Alternative 1] Grade B- or above in MATH2058, and Grade B- or above in one of MATH2018, 2028, 2048.
  • [Alternative 2] Grade A- or above in MATH2050, and Grade A- or above in one of MATH2010, 2020, 2040.
 Not for students who have taken MATH2060. This is a continuation of MATH2058.
MATH2070 Algebraic Structures (MATH1030/1038 or ENGG1120 or ESTR1005) and (MATH1050/1058 or MATH1090/1098). Not for students who have taken MATH2078.
MATH2078 Honours Algebraic Structures
  • [Option 1] Grade B- or above in (MATH1038/2048) and (MATH1058/1098).
  • [Option 2] Grade A- or above in (MATH1030/2040) and (MATH1050/1090).
  • [Option 3] Grade B- or above in each of MATH1058, 2018.
 Not for students who have taken MATH2070.
MATH2221 Mathematics Laboratory II
  • [Alternative 1] MATH1010/1018 and 1030/1038 and 1050/1058.
  • [Alternative 2] MATH1010/1018 and 1025/1028 and 1030/1038 and 1090/1098.
MATH2230 Complex Variables with Applications
  • [Alternative 1] MATH2020/2028.
  • [Alternative 2] Grade B- or above in each of MATH2018, 2058, with co-requisite: MATH2020/2028.
  • [Alternative 3] Grade A- or above in each of ENGG1120/ESTR1005, ENGG1130/ESTR1006.
 Please refer to the pre-requisite(s).
MATH2530 Advanced Calculus (I) for Physical Science and Engineering MATH1010/1018 or (Grade B or above in MATH1510 or 1520 or ENGG1125/ESTR1007). Not for students who have taken MATH2010/2018.
MATH2550 Quantitative Methods for Earth and Environmental Sciences MATH1010/1018 or 1510 or 1520 or ENGG1125/ESTR1007. Not for students who have taken MATH2010/2018, 2020/2028 or 2530.

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Level-3000-and-4000 courses.

Course. Course Title. Pre-requisite. Co-requisite. Exclusion clause. Advisory notes.
MATH3020 Axiomatic Set Theory and Applications Familiarity with linear algebra is expected.
MATH3030 Abstract Algebra
  • [Alternative 1] MATH2070/2078.
  • [Alternative 2] Grade A- or above in MATH2040/2048, with co-requisite: MATH2070/2078.
 Please refer to the pre-requisite(s). Students are expected to have knowledge in MATH2070/2078, or equivalent.
MATH3040 Fields and Galois Theory MATH3030. This course is one of the continuations of MATH3030 (the other being MATH4080). Students are expected to have knowledge in MATH2070/2078 and MATH3030, or equivalent.
MATH3060 Mathematical Analysis III MATH2060/2068. This course is a continuation of MATH2060.
MATH3070 Introduction to Topology
  • [Alternative 1] MATH3060.
  • [Alternative 2] Grade B- or above in both MATH2050/2058 and 2060/2068.
MATH3080 Number Theory Students are expected to have knowledge in MATH2070/2078, or equivalent.
MATH3093 Fourier Analysis MATH2060/2068.
MATH3215 Operations Research MATH1030/1038 or ENGG1120/ESTR1005. Students taking this course are expected to have basic knowledge in linear algebra. They are also expected to have basic programming skills in some programming language (such as MATLAB, C++, Python).
MATH3230 Numerical Analysis Students taking this course are expected to have knowledge in advanced calculus and linear algebra. They are also expected to have basic programming skills in some programming language (such as MATLAB, C++, Python).
MATH3240 Numerical Methods for Differential Equations Students taking this course are expected to have knowledge in advanced calculus and linear algebra. They are also expected to have basic programming skills in some programming language (such as MATLAB, C++, Python).
MATH3250 Discrete Mathematics
MATH3260 Graph Theory
MATH3270 Ordinary Differential Equations MATH1030/1038 or ENGG1120/ESTR1005.
MATH3280 Introductory Probability Not for students who have taken MIEG2440/ESTR2362. Students taking this course are expected to have knowledge in advanced calculus.
MATH3290 Mathematical Modeling
MATH3310 Computational and Applied Mathematics Students taking this course are expected to have knowledge in advanced calculus and linear algebra.
MATH3320 Foundation of Data Analytics Students taking this course are expected to have knowledge in basic linear algebra. They are also expected to have basic programming skills in some programming language (such as MATLAB, C++, Python).
MATH3330 Big Data Computing AIST1110 or CSCI1020 or CSCI1110 or CSCI1120 or CSCI1130 or CSCI1510 or CSCI1520 or CSCI1530 or CSCI1540 or ESTR1100 or ESTR1102 or IERG1080 or MATH2221. Students taking this course are expected to have knowledge in mathematical foundation of data analytics.
MATH3340 Mathematics of Machine Learning Students are expected to have knowledge in MATH2040/2048, 2050/2058 and 2060/2068, or equivalent. Familiarity with basic concepts about probability theory (e.g., knowledge in MATH3280), and basic programming skills in some programming language (such as MATLAB, C++, Python) will be helpful though not compulsory.
MATH3360 Mathematical Imaging MATH1030/1038 and MATH2010/2018. Students are expected to have basic knowledge in calculus and linear algebra. Some basic programming skills, such as Matlab, C++ or other programming languages, are also expected for programming exercises. Some background in numerical analysis, Fourier analysis and partial differential equations will be helpful, although the necessary concepts will be discussed as they are used.
MATH4010 Functional Analysis
  • [Alternative 1] MATH3060.
  • [Alternative 2] Grade B- or above in both MATH2050/2058 and 2060/2068.
 Students taking this course are expected to have knowledge in elementary analysis and linear algebra.
MATH4020 Calculus of Variations Students taking this course are expected to have knowledge in advanced calculus.
MATH4030 Differential Geometry Not for students who have taken MATH4033. Students taking this course are expected to have knowledge in advanced calculus, linear algebra, and elementary differential equations.
MATH4050 Real Analysis MATH2050/2058. Students taking this course are expected to have knowledge in elementary analysis.
MATH4060 Complex Analysis MATH2230 and 3060. Students are expected to have sophisticated mathematics background and superb theoretical knowledge in multivariable calculus.
MATH4080 Modules and Representation Theory MATH3030. This course is one of the continuations of MATH3030. Students are expected to have knowledge in MATH2070/2078 and MATH3030, or equivalent.
MATH4210 Financial Mathematics Students taking this course are expected to have knowledge in probability and differential equations.
MATH4220 Partial Differential Equations Students taking this course are expected to have knowledge in advanced calculus.
MATH4230 Optimization Theory Students taking this course are expected to have knowledge in advanced calculus.
MATH4240 Stochastic Processes Not for students who have taken IERG3300. Students taking this course are expected to have knowledge in probability.
MATH4250 Game Theory Students taking this course are expected to have knowledge in linear algebra.
MATH4260 Coding Theory and Cryptography Students taking this course are expected to have some knowledge in algebra and number theory.
MATH4280 Innovation and Design in Big Data Analytics AIST1110 or CSCI1020 or CSCI1110 or CSCI1120 or CSCI1130 or CSCI1510 or CSCI1520 or CSCI1530 or CSCI1540 or ESTR1100 or ESTR1102 or IERG1080 or MATH2221. Students taking this course are expected to have knowledge in mathematical foundation of data analytics and related computational techniques.
MATH4400 Project (MATH2050/2058 or 2060/2068) and MATH2221 Refer to the homepage on Capstone Course Arrangements.
MATH4900 Seminar MATH2050/2058 and 2221 Refer to the homepage on Capstone Course Arrangements.

Note

If you have fulfiled the aforementioned pre-requisite but are unable to enrol in the class through CUSIS, please submit the following documents to the General Office (Room 220, Lady Shaw Building) in person during Course Registration period or E-add/drop period on CUSIS. E-Submission and/ or late submission will not be handled.

  1. Completed add/ drop form (please indicate your preferred tutorial session, if applicable). The form can be downloaded from the Registration and Examinations Section website.
  2. Unofficial transcript

Applications will not be processed if the applicant is barred from course enrollment for other reasons, such as seat availability, time conflicts, course load problems, or similar circumstances. The Department shall have absolute discretion to approve or reject any applications.

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