Enquiry for Major/Minor/Programme Requirements

Major Title Major in Mathematics
Offered to students admitted to Year 1 in 2017-2018
Objectives:

The 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 fundamental knowledge and concepts in Mathematics and elective courses provide training in both pure and applied aspects of Mathematics. Throughout the curriculum there is also emphasis on experiential learning through guided studies, projects, seminars and summer internships.  With the diversity of courses offered in the major, various specializations are available. These will lead to careers in a wide range of sectors including education, economics and finance, logistics, management, research and further studies.

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

describe and present fundamental concepts in mathematics (by means of coursework and learning activities in the major or minor curriculum)

PLO 2 :

apply mathematical theory and techniques to different areas of Sciences, and appraise the related ethical issues (by means of coursework and learning activities in the major or minor curriculum)

PLO 3 :

communicate in mathematical language and present 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/Physics
Minor in Computational & Financial Mathematics
Minor in Mathematics
Minor in Operations Research & Mathematical Programming

Required courses (96 credits)
1. Introductory level courses (48 credits)
Disciplinary Core Courses: Science Foundation Courses (12 credits)
SCNC1111 Scientific method and reasoning (6)
SCNC1112 Fundamentals of modern science (6)
Disciplinary Core Courses (36 credits)
MATH1013 University mathematics II (6)
MATH2012 Fundamental concepts of mathematics (6)
MATH2101 Linear algebra I (6)
MATH2102 Linear algebra II (6)
MATH2211 Multivariable calculus (6)
MATH2241 Introduction to mathematical analysis (6)
2. Advanced level courses (42 credits)
Disciplinary Core Courses (18 credits)
MATH3301 Algebra I (6)
MATH3401 Analysis I (6)
MATH3403 Functions of a complex variable (6)
Disciplinary Electives (24 credits)
At least 24 credits advanced level Mathematics courses (MATH3XXX or MATH4XXX or MATH7XXX level), of which at least 12 credits should be from MATH4XXX or MATH7XXX level, subject to pre-requisite requirements.The current list includes courses in List A and those courses not selected to fulfill the capstone requirements, but excluding MATH4966 Mathematics Internship.
List A
MATH3001 Development of mathematical ideas (6)
MATH3002 Mathematics seminar (6)
MATH3303 Matrix theory and its applications (6)
MATH3304 Introduction to number theory (6)
MATH3405 Differential equations (6)
MATH3408 Computational methods and differential equations with applications (6)
MATH3541 Introduction to topology (6)
MATH3600 Discrete mathematics (6)
MATH3601 Numerical analysis (6)
MATH3603 Probability theory (6)
MATH3901 Operations research I (6)
MATH3904 Introduction to optimization (6)
MATH3905 Queueing theory and simulation (6)
MATH3906 Financial calculus (6)
MATH3911 Game theory and strategy (6)
MATH3943 Network models in operations research (6)
MATH4302 Algebra II (6)
MATH4402 Analysis II (6)
MATH4404 Functional analysis (6)
MATH4406 Introduction to partial differential equations (6)
MATH4501 Geometry (6)
MATH4511 Introduction to differentiable manifolds (6)
MATH4602 Scientific computing (6)
MATH4902 Operations research II (6)
MATH4907 Numerical methods for financial calculus (6)
MATH7101 Intermediate complex analysis (6)
MATH7201 Topics in geometry (6)
MATH7202 Complex manifolds (6)
MATH7217 Topics in financial mathematics (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)
MATH7503 Topics in mathematical programming and optimization (6)
MATH7504 Geometric topology (6)
MATH7505 Real analysis (6)
3. Capstone requirement (6 credits)
At least 6 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. Double-counting of courses up to a maximum of 24 credits is permissible when a student with a science major opts to undertake a second major in science. The double-counted courses must include SCNC1111 Scientific method and reasoning (6 credits) and SCNC1112 Fundamentals of modern science (6 credits). Additional credits to be double-counted must be for courses required ('disciplinary core') by both majors. For cases with 24 or less double-counted credits, the student must make up an equivalent number of credits by taking other courses offered by any Faculty.

2. If more than 24 credits (including SCNC1111 & SCNC1112) are listed as required courses ("disciplinary core") in both the first and second majors undertaken by a student, the student must make up the number of credits above the 24 permissible by taking replacement course(s) (disciplinary electives) in the second major. Double counting of credits is not permissible for major-minor or double-minors combinations. For details, please refer to "Students taking double Majors, Major-Minor or double Minors with overlapping course requirements" in the BSc syllabuses.

3. Students are not required to take Capstone if this Science major is taken as a second major on the condition that the capstone experience in the first major requires the integration or application of knowledge from both major disciplines.  If this is approved, a 6-credit advanced level course (disciplinary electives) in the second major must be taken to fulfill the credit requirement of the capstone experience.

4. 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.

5. Students taking the Mathematics related major/minor should check the exemption and replacement arrangement for the introductory level Disciplinary Core Mathematics courses at http://www.scifac.hku.hk/ug/current/bsc/curriculum/overlapping-course-req.

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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