# General Requirements at University, Faculty, Programme levels for Enrichment Mathematics entrants 2022

### Table of content.

- Official sources of information.
- First-year MATH required courses.
- First Year university- and faculty-level requirements.
- MIEG option.
- MATH required courses beyond the First Year of Study.
- University-level requirements beyond the First Year of Study

### Official sources of information.

Every two or three years the requirements of MATH programme are revised. When you have a question concerned with study, you had better seek an official answer.

(Do not rely on hear-say: what the senior students tell you may or may not be applicable in your situation. This is especially important to you as you are in the first cohort to which the new University Core Curriculum applies.)

Below are the reliable sources of information.

**CUSIS.**The MATH study scheme and the information in the catalogue of MATH courses in CUSIS are official documents. They are what you can definitely rely upon.

**Department Homepage.**General information of the MATH major programme can be found at the homepage of the Department of Mathematics.

**Academic advisor, and course teachers.**You will be assigned an academic advisor in the Department of Mathematics.

When you have questions about the MATH programme, you may approach your academic advisor or your course teachers for help. They can at least re-direct you to the right persons who can answer your questions.

**Email enquiries.**If you have some very specific questions about the MATH programme and you can't find any answer in the CUSIS or the department homepage, you may write to the department.

Use your CWEM address. Include your name and your student ID. A clear subject title will help us identify your problem and is certainly welcome.

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### First-year MATH required courses.

Below is the pattern of ** MATH required courses ** for the ** first year of study** for Enrichment Mathematics entrants:^{(a1)}

Term of study | Course Code | Course Title | Number of units |
---|---|---|---|

Term 1 (First Semester) | MATH1018^{(a2)} |
Honours University Mathematics | 3 units |

Term 1 (First Semester) | MATH1038^{(a2)} |
Honours Linear Algebra I | 3 units |

Term 2 (Second Semester) | MATH1058 | Honours Foundation of Modern Mathematics | 3 units |

Term 2 (Second Semester) | MATH2018 | Honours Advanced Calculus I | 3 units |

Remarks.

- (a1)
**Honours Courses for First Year MATH students.**You will be pre-assigned into the beginning Honours Courses MATH1018, MATH1038 in the First Semester.

Students in MATH1018, MATH1038 in the First Semester may continue with MATH1058 and MATH2018 in the Second Semester as long as they have obtained B- or above in MATH1018 and MATH1038.

Those who do not want to continue with Honours Courses may choose to take MATH1050 and MATH2010 in the Second Semester, as long as they pass both MATH1018 and MATH1038.

More information on the Honours Courses can be found here.

- (a2)
**Opting out of MATH1018, MATH1038?**You are free to opt out of MATH1018, MATH1038, for whatever reason. To do so, you may apply to drop the courses through the General Office of the Department of Mathematics. But it will be your own responsibility to add MATH1010, MATH1030 through CUSIS.

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### First Year university- and faculty-level requirements.

Term of study | Course | Number of units |
---|---|---|

Term 1 (First Semester) | ELTU1001^{(b1)} (ELTU Course for First-year Students) |
3 units |

Term 1 (First Semester) | College General Education Course^{(b2)} |
2 or 3 units |

Term 1 (First Semester) | Physical Education Course No. 1^{(b3)} |
1 unit |

Term 1 (First Semester) | Online University Core Course No. 1^{(b3)} |
1 unit |

Term 1 (First Semester) | STAT1011 or `the third Faculty Package course'^{(b4)} |
3 units |

Term 2 (Second Semester) | CHLT1100^{(b1)} (University Chinese I) |
3 units |

Term 2 (Second Semester) | ENGG1003^{(b1)} (Digital Literacy and Computational Thinking) |
3 unit |

Term 2 (Second Semester) | Physical Education Course No. 2^{(b3)} |
1 unit |

Term 2 (Second Semester) | Online University Core Course No. 2^{(b3)} |
1 unit |

Term 2 (Second Semester) | STAT1011 or `the third Faculty Package course' or UGFH1000 or UGFN1000^{(b4)}^{(b5)} |
3 units |

Remarks.

- (b1)
**English, Chinese, and Digital Literacy and Computational Thinking courses for First Year students.**These courses are pre-assigned to you. In normal circumstances, you have no choice regarding `taking or not', and in fact no choice regarding your timetable for these courses.

- (b2)
**College General Education courses for First Year students.**This only represents the situation for the majority of students. Some colleges do require students to take College General Education courses in the First and/or Second Semesters; for such students, the Second Semester Collge General Education course may be a 2-unit or 3-unit course.

- (b3)
**P.E. courses and online university core courses.**The university expects you to have completed two Physical Education courses and two online university core courses within the First Year of Study.

- (b4)
**Non-MATH Faculty Package courses.**You are required to take STAT1011 and one amongst designated courses amongst PHYS1xxx, CHEM1xxx, LSCI1xxx to fulfil graduation requirements. It is preferable to complete these courses in the First Year, or at the earliest possible instance.

- (b5)
**Foundation General Education courses.**The university expects you to have completed both `foundation general education courses' by the end of the Second Year of Study. Although you are not pre-assigned to either course in any term, it is unwise to postpone these courses. You will not be allowed to take any other university education course until you have taken UGFH1000 or UGFN1000.

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### MIEG option.

MIEG (Mathematics and Information Engineering) is a programme offered by the Department of Information Engineering. It is suitable for students who are inclined to explore both mathematics and the application of mathematics in information engineering.

As a Enrichment Mathematics entrant, you have the option of migrating to the MIEG Programme, at the end of the first year of study. You will be entitled the benefits offered to you by the Department of Information Engineering (such as research opportunities and internship experience) but still retain much of your benefits offered by the Department of Mathematics for MATH students.

More information on the MIEG programme can be found here.

If you are interested in the MIEG programme, contact the department for further information.

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### MATH required courses beyond the First Year of Study.

Below is the pattern of ** MATH required courses** for the ** higher years of study** ^{(c1)}^{(c2)} for Enrichment Mathematics entrants, leading towards graduation in the * Enrichment Stream*^{(c3)} or the * Enrichment and Computational and Applied Mathematics Stream*^{(c3)} in the MATH programme:

Term of study | Course Code | Course Title | Number of units |
---|---|---|---|

Term 3 | MATH2028/MATH2020 | Advanced Calculus II (Honours/non-Honours) | 3 units |

Term 3 | MATH2048/MATH2040 | Linear Algebra II (Honours/non-Honours) | 3 units |

Term 3 or 5 | MATH2058/MATH2050^{(c4)}^{(c7)} |
Mathematical Analysis I (Honours/non-Honours) | 3 units |

Term 4 or 6 | MATH2068/MATH2060^{(c4)}^{(c7)} |
Mathematical Analysis II (Honours/non-Honours) | 3 units |

Term 4 | MATH2078/MATH2070^{(c7)} |
Algebraic Structures (Honours/non-Honours) | 3 units |

Term 4 | MATH2221 | Mathematical Laboratory II | 2 units |

Term 4 | MATH2230^{(c7)} |
Complex Variables with Applications | 3 units |

Third or fourth year | MATH3060^{(c5)}^{(c7)} |
Mathematical Analysis III | 3 units |

Final Year | MATH4400/MATH4900^{(c6)} |
Project/Seminar | 3 units |

Remarks.

- (c1)
**MATH Honours Courses beyond the First Year of Study.**While you not obliged to take Honours courses in order to graduate in the MATH programme, you are encouraged to do so if you intend to acquire a wider and deeper understanding in mathematics, and if you want to reap the full benefits of the

*Enrichment Stream*or the*Enrichment and Computational and Applied Mathematics Stream*.There is a pre-requisite for each such Honours course, in the form `B- or above' in a group of Honours Courses that you should have taken. In any case, if you are not taking an Honours course, you can still take its non-Honours counterpart to fulfil graduation requirement.

- (c2)
**MATH elective courses beyond the First Year of Study.**To graduate in the MATH programme, you will have to take at least a further 27 units of elective courses, as specified by your chosen streams, besides these MATH required courses.

- (c3)
**Streams.**Every MATH students will graduate in one of the streams below:

- Enrichment Stream.
- Enrichment and Computational and Applied Mathematics Stream.
- Computational and Applied Mathematics Stream.
- Computational Big Data Analytics Stream.
- Mathematics Stream.
- Mathematics-Education Stream.
- Mathematics-Multidisciplinary Stream.

As an Enrichment Mathematics entrant, you are entitled to graduate in the

*Enrichment Stream*as long as you fulfill the stream requirements.^{(c7)}(Other students will have to satisfy some GPA requirements in order to be eligible for graduating in this stream.)If you are also interested in applied mathematics, you have the option of graduating in the

*Enrichment and Computational and Applied Mathematics Stream*as long as you fulfill the respective stream requirements of both the*Enrichment Stream*and the*Computational and Applied Mathematics Stream*.*Question.*`Am I obliged to graduate in the Enrichment Stream? What if my interest changes?'*Answer.*We understand that your interest may change over time (for various reasons). Therefore, you are not obliged to graduate in the*Enrichment Stream*. However, make sure you have made up your mind at least one semester prior to graduation, because you need to declare your stream to the Department at least several months before you graduate.For more detail on the various streams, including the specific requirements for each stream, consult the study scheme in CUSIS.

- (c4)
**Mathematical Analysis I, II (Honours and non-Honours course).**Students who intend to graduate in the

*Enrichment and CAM Double Stream*may postpone MATH2058/2050, MATH2068/2060 to Terms 5, 6 respectively.MATH2068/MATH2060 are likely to be offered in the Second Semester only.

- (c5)
**Mathematical Analysis III and its alternatives.**For the purpose of fulfilling graduation requirements, MATH3060 may be replaced by STAT2001 or STAT2006.

MATH3060 is a continuation of MATH2060/2068, and it is usually offered in the First Semester only.

- (c6)
**Capstone courses.**You are required, and allowed, to take only one of MATH4400, MATH4900. Most students take the MATH4900, and do so in Term 7.

- (c7)
**Pre-requisites for advanced pure maths courses.**A timely completion of MATH2058/2050, MATH2068/2060, MATH2078/2070, MATH2230 will allow for more flexibility in course selection for the fulfilment of the Enrichment Stream requirements. The reason is that the pre-requisites for various electives for this stream, such as MATH3040, MATH3070, MATH4010, MATH4050, MATH4060, MATH4080, involve MATH2050 or MATH2058, MATH2060 or MATH2068, MATH2070 or MATH2078, MATH2230, MATH3030, MATH3060.

The first chart here summarizes the MATH major requirements, with the arrows indicating the relations between the various parts of the requirements, and the parenthesis indicating the specific terms for certain required courses to be completed. The other charts provide the `road-maps' for sample streams, including the Enrichment Mathematics Stream.

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### University-level requirements beyond the First Year of Study

Term of study | Course | Number of units |
---|---|---|

Term 3 (tentative) | ELTU2xxx^{(d1)} (ELTU Course for Second-year Students) |
3 units |

Term 4 (tentative) | CHLT1xxx ^{(d1)} (University Chinese II) |
2 units |

Term 5 (tentative) | ELTU3xxx^{(d1)} (ELTU Course for Third-year Students) |
2 units |

Term 4 or before | UGFH1000, UGFN1000, not already taken^{(d2)} |
3 or 6 units |

Any time | UGEA, UGEC, UGED courses^{(d2)} |
at least 7 units |

(Dependent on college) | College General Education course^{(d3)} |
(Dependent on college) |

Remarks.

- (d1)
**English and Chinese courses for Second- and Third-Year students.**These language courses are likely pre-assigned to you, or will only provide limited choices for you. You do not have any choice regarding `taking or not'.

The exact arrangements will be announced by the university in due course.

- (d2)
**University General Education courses.**You are required to pass both UGFH1000, UGFN1000, and further pass a certain number of units of University General Education courses. Although you are free to choose your own courses for the latter, you are required to cover all three types of courses UGEA, UGEC, UGED.

- (d3)
**College General Education courses beyond the First Year of Study.**Various colleges will set their own College General Education requirements. Some colleges will require their students to do `final year projects' in Term 7.