Enquiry for Science Major/Minor/Programme Requirements

Major Title Major in Mathematics (Intensive)
Offered to students admitted to Year 1 in 2023
Objectives:

The Intensive Major in Mathematics provides students with a solid and comprehensive undergraduate education in the subject.  It aims to nurture quantitative reasoning, logical, analytical and critical thinking, innovative imagination, meticulous care to work, ability to conceptualize, skills for problem-solving, and capability to tackle novel situations and ill-defined problems. Core courses in the curriculum emphasize a firm foundation in Mathematics. The strong emphasis on experiential learning in guided studies, projects, seminars or summer internships provides more opportunities for students to carry out research based studies and to develop their expertise. Graduates are expected to have strong academic ability to pursue graduate studies or professional careers that require in-depth mathematical training.

Learning Outcomes:
By the end of this programme, students should be able to:
PLO 1 :

describe and present a variety of concepts and theories in mathematics (by means of coursework and learning activities in the curriculum)

PLO 2 :

apply mathematical theory and techniques to handle research-style questions, scrutinize problems, and appraise the related ethical issues (by means of coursework and learning activities in the curriculum)

PLO 3 :

communicate in mathematical language, and present mathematical ideas and scientific arguments (by means of coursework, seminars, guided studies and projects)

PLO 4 :

collaborate and work with other students in an effective manner (by means of guided studies, projects and seminars)

PLO 5 :

appreciate the beauty and power of mathematics (by means of guided studies, projects and seminars)

Impermissible Combination:

Major in Mathematics
Minor in Computational & Financial Mathematics
Minor in Mathematics
Minor in Operations Research & Mathematical Programming

Required courses (144 credits)
1. Introductory level courses (48 credits)
Disciplinary Core Courses: Science Foundation Courses (12 credits)
SCNC1111 Scientific method and reasoning (6) (Note 1)
SCNC1112 Fundamentals of modern science (6) (Note 1)
Disciplinary Core Courses (36 credits)
MATH1013 University mathematics II (6) (Note 1)
MATH2012 Fundamental concepts of mathematics (6) (Note 1)
MATH2101 Linear algebra I (6) (Note 1)
MATH2102 Linear algebra II (6) (Note 1)
MATH2211 Multivariable calculus (6) (Note 1)
MATH2241 Introduction to mathematical analysis (6) (Note 1)
2. Advanced level courses (84 credits)
Disciplinary Core Course (60 credits)
MATH3002 Mathematics seminar (6)
MATH3301 Algebra I (6)
MATH3401 Analysis I (6) (Note 1)
MATH3403 Functions of a complex variable (6)
MATH3405 Differential equations (6)
MATH3600 Discrete mathematics (6)
MATH3603 Probability theory (6)
MATH3904 Introduction to optimization (6)
MATH4404 Functional analysis (6)
MATH4406 Introduction to partial differential equations (6)
Disciplinary Electives (24 credits)
Select Stream (A) or Stream (B):
(A) Pure Mathematics (at least 24 credits with 12 credits from MATH4XXX or MATH7XXX level, subject to pre-requisite requirement)
MATH3304 Introduction to number theory (6)
MATH3541 Introduction to topology (6)
MATH4302 Algebra II (6)
MATH4402 Analysis II (6)
MATH4501 Geometry (6)
MATH4511 Introduction to differentiable manifolds (6)
MATH7101 Intermediate complex analysis (6)
MATH7201 Topics in geometry (6)
MATH7202 Complex manifolds (6)
MATH7219 Topics in applied functional analysis (6)
MATH7224 Topics in advanced probability theory (6)
MATH7501 Topics in algebra (6)
MATH7502 Topics in applied discrete mathematics (6)
MATH7505 Real analysis (6)
(B) Applied Mathematics (at least 24 credits with 12 credits from MATH4XXX or MATH7XXX level, subject to pre-requisite requirement)
MATH3601 Numerical analysis (6)
MATH3901 Operations research I (6)
MATH3906 Financial calculus (6)
MATH3911 Game theory and strategy (6)
MATH3943 Network models in operations research (6)
MATH4602 Scientific computing (6)
MATH4902 Operations research II (6)
MATH4907 Numerical methods for financial calculus (6)
MATH7217 Topics in financial mathematics (6)
MATH7219 Topics in applied functional analysis (6)
MATH7224 Topics in advanced probability theory (6)
MATH7502 Topics in applied discrete mathematics (6)
MATH7503 Topics in advanced optimization (6)
3. Capstone requirement (12 credits)
At least 12 credits selected from the following courses:
MATH3999 Directed studies in mathematics (6)
MATH4910 Senior mathematics seminar (6)
MATH4911 Mathematics capstone project (6)
MATH4966 Mathematics internship (6)
MATH4999 Mathematics project (12)
 
Notes:

1. These are core courses in the regular Mathematics Major (96 credits) curriculum.

2. Students must have level 2 or above in HKDSE Extended Module 1 or 2 of Mathematics or equivalent to take this major.  Students who do not fulfill this requirement are advised to take MATH1011 University mathematics I.

3. Students taking the Mathematics related major/minor should check the exemption and replacement arrangement for the introductory level Disciplinary Core Mathematics courses at https://www.scifac.hku.hk/current/ug/academic/overlapping-course-requirements.

4. Candidates who have been admitted to Year 1 in 2020-21 (and thereafter) and have achieved any one of the following qualifications are exempted from taking SCNC1111. It is optional for them to take this course. Those who do not take this course should take a 6-credit disciplinary elective course of the science major in lieu.
- Level 4 or above in Mathematics Extended Part Module 1 or 2 in the Hong Kong Diploma of Secondary Education (HKDSE)
- Level 5 or above in Mathematics Higher Level in International Baccalaureate (IB)
- Grade B or above in Mathematics and Further Mathematics in General Certificate of Education Advanced Level (GCEAL)
- Mathematics qualification in Gao Kao will be considered on a case-by-case basis

5. Candidates who have been admitted to Year 1 in 2021-22 (and thereafter) and have achieved any one of the following qualifications are exempted from taking SCNC1112. It is optional for them to take this course. Those who do not take this course should take a 6-credit disciplinary elective course of the science major in lieu.
- Level 4 or above in Biology, Chemistry, and Physics in the Hong Kong Diploma of Secondary Education (HKDSE)
- Level 5 or above in Biology, Chemistry, and Physics Higher Level in International Baccalaureate (IB)
- Grade B or above in Biology, Chemistry, and Physics in General Certificate of Education Advanced Level (GCEAL)
- Biology, Chemistry, and Physics qualification in Gao Kao will be considered on a case-by-case basis

Remarks:

Important! Ultimate responsibility rests with students to ensure that the required pre-requisites and co-requisite of selected courses are fulfilled. Students must take and pass all required courses in the selected primary science major in order to satisfy the degree graduation requirements.



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