B.Sc. in Mathematical Sciences — CUHK Major Requirements (2026–27)
Faculty: Others · Admission code: JTMSN_JOT · 71 units · For students admitted in 2026–27
Students are required to complete a minimum of 71 units of courses. Students will be admitted to the joint programme offered by CUHK. Some courses offered by CUHK and CUHK(SZ) are substitute/equivalent/alternative courses. Please refer to the list of substitute/equivalent/ alternative courses (https://www.zsims.cuhk.edu.hk/en/) for details.
1.Faculty Package9 units
IMSC1113, 1122, 2028
Show 3 courses
| Course | Title | T1 | T2 | T1 Teaching schedule | T2 Teaching schedule | Enrolment information | Also in minor |
|---|---|---|---|---|---|---|---|
| IMSC 1113 | Basic Physics I | --LEC: Tu 3:30PM - 5:15PM Th 9:30AM - 10:15AM -T01-TUT: Th 10:30AM - 11:15AM | — | Not for students who have taken PHYS1111 or 1113. | — | ||
| IMSC 1122 | Basic Physics II | — | — | Not for students who have taken PHYS1122. | — | ||
| IMSC 2028 | Calculus II | — | A-LEC: Tu 9:30AM - 11:15AM Th 2:30PM - 3:15PM AT01-TUT: Th 3:30PM - 4:15PM B-LEC: Tu 9:30AM - 11:15AM Th 2:30PM - 3:15PM BT01-TUT: Th 3:30PM - 4:15PM | Not for students who have taken any MATH1xxx - 2xxx course, except MATH2221.Pre-requisite: IMSC2018. | — |
2.Required Courses41 units
(a)38 units
IMSC1038, 2018, 2048, IMSC2058 or MATH2066, IMSC2068, 2078[a] or 2240[a], 2230, MATH2221, 3270, PHYS3011, 3021, 3031 or 4031, 3041
Show 16 courses
| Course | Title | T1 | T2 | T1 Teaching schedule | T2 Teaching schedule | Enrolment information | Also in minor |
|---|---|---|---|---|---|---|---|
| IMSC 1038 | Algebra I | --LEC: Mo 9:30AM - 11:15AM Fr 9:30AM - 10:15AM -T01-TUT: Fr 10:30AM - 11:15AM | --LEC: Tu 12:30PM - 2:15PM Th 9:30AM - 10:15AM -T01-TUT: Th 10:30AM - 11:15AM | Not for students who have taken any MATH1xxx - 2xxx course, except MATH2221. | — | ||
| IMSC 2018 | Calculus I | --LEC: Tu 1:30PM - 3:15PM Th 1:30PM - 2:15PM -T01-TUT: Th 2:30PM - 3:15PM | — | Not for students who have taken any MATH1xxx - 2xxx course, except MATH2221. | — | ||
| IMSC 2048 | Algebra II | — | --LEC: Tu 2:30PM - 4:15PM Th 10:30AM - 11:15AM -T01-TUT: Th 11:30AM - 12:15PM | Not for students who have taken any MATH1xxx - 2xxx course, except MATH2221.Pre-requisite: IMSC1038. | — | ||
| IMSC 2058 | Analysis I | --LEC: Mo 2:30PM - 4:15PM We 9:30AM - 10:15AM -T01-TUT: We 10:30AM - 11:15AM | — | Not for students who have taken any MATH1xxx - 2xxx course, except MATH2221. | — | ||
| MATH 2066 | Introductory Real Analysis | — | --LEC: We 3:30PM - 5:15PM Fr 9:30AM - 10:15AM -T01-TUT: Fr 10:30AM - 11:15AM | Not for students who have taken any one of MATH1025/1028, 1090/1098, 2060/2068. | |||
| IMSC 2068 | Analysis II | — | --LEC: Mo 9:30AM - 11:15AM We 2:30PM - 3:15PM -T01-TUT: We 3:30PM - 4:15PM | Not for students who have taken any MATH1xxx - 2xxx course, except MATH2221.Pre-requisite: IMSC2058. | — | ||
| IMSC 2078 | Algebra III | --LEC: Mo 3:30PM - 5:15PM We 9:30AM - 10:15AM -T01-TUT: We 10:30AM - 11:15AM | — | Not for students who have taken any MATH1xxx - 2xxx course, except MATH2221.Pre-requisites: IMSC1038 and (IMSC2048 or MATH2046). | — | ||
| IMSC 2240 | Analysis III | — | — | Not for students who have taken any MATH1xxx - 2xxx course, except MATH2221.Pre-requisites: IMSC2028 and (IMSC2058 or IMSC2068 or MATH2066). | — | ||
| IMSC 2230 | Complex Analysis | — | --LEC: Mo 2:30PM - 4:15PM We 12:30PM - 1:15PM -T01-TUT: We 1:30PM - 2:15PM | Not for students who have taken any MATH1xxx - 2xxx course, except MATH2221.Pre-requisite: IMSC2028. | — | ||
| MATH 2221 [2] | Mathematics Laboratory II | — | A-LEC: Tu 11:30AM - 12:15PM AL01-LAB: Th 10:30AM - 12:15PM B-LEC: Tu 12:30PM - 1:15PM BL01-LAB: Th 12:30PM - 2:15PM C-LEC: Tu 10:30AM - 11:15AM CL01-LAB: Th 2:30PM - 4:15PM | Co-requisite: [Alternative 1] MATH1010/1018 and 1030/1038 and 1050/1058.[Alternative 2] MATH1010/1018 and 1025/1028 and 1030/1038 and 1090/1098. | |||
| MATH 3270 | Ordinary Differential Equations | A-LEC: We 4:30PM - 6:15PM Mo 12:30PM - 1:15PM AT01-TUT: Mo 1:30PM - 2:15PM | B-LEC: Tu 2:30PM - 4:15PM Th 4:30PM - 5:15PM BT01-TUT: Th 5:30PM - 6:15PM | Pre-requisite: MATH1030/1038 or 1630 or ENGG1120/ESTR1005. | |||
| PHYS 3011 | Classical Mechanics I | — | --LEC: Mo 11:30AM - 1:15PM Th 9:30AM - 10:15AM -E01-EXR: Mo 6:30PM - 7:15PM -E02-EXR: We 11:30AM - 12:15PM -E03-EXR: We 6:30PM - 7:15PM -T01-TUT: Th 10:30AM - 11:15AM | Pre-requisite: PHYS1111 or or 1113 or its equivalents, or premission of instructor. | |||
| PHYS 3021 | Quantum Mechanics I | --LEC: Tu 12:30PM - 2:15PM Th 1:30PM - 2:15PM -E01-EXR: Mo 6:30PM - 7:15PM -E02-EXR: We 6:30PM - 7:15PM -E03-EXR: Fr 9:30AM - 10:15AM -T01-TUT: Th 2:30PM - 3:15PM | — | Pre-requisite: PHYS1122 or its equivalents, or permission of instructor. | |||
| PHYS 3031 | Thermodynamics and Statistical Physics | — | --LEC: Th 12:30PM - 1:15PM Tu 11:30AM - 1:15PM -E01-EXR: Th 3:30PM - 4:15PM -E02-EXR: Th 6:30PM - 7:15PM -E03-EXR: Fr 10:30AM - 11:15AM -T01-TUT: Th 1:30PM - 2:15PM | Pre-requisite: PHYS2041 and 2051 or their equivalents, or permission of instructor. | |||
| PHYS 4031 | Statistical Mechanics | --LEC: We 9:30AM - 11:15AM Fr 9:30AM - 10:15AM -E01-EXR: Mo 9:30AM - 10:15AM -E02-EXR: We 1:30PM - 2:15PM -T01-TUT: Fr 10:30AM - 11:15AM | — | Pre-requisite: PHYS2041 and 2051 or their equivalents, or permission of instructor. | |||
| PHYS 3041 | Electromagnetic Theory I | --LEC: Mo 9:30AM - 11:15AM Th 11:30AM - 12:15PM -E01-EXR: We 11:30AM - 12:15PM -E02-EXR: We 6:30PM - 7:15PM -E03-EXR: Th 6:30PM - 7:15PM -T01-TUT: Th 12:30PM - 1:15PM | — | Prerequisite: PHYS2041 or its equivalents, or permission of instructor. |
(b)Capstone course3 units
IMSC4800 or 4900
Show 2 courses
| Course | Title | T1 | T2 | T1 Teaching schedule | T2 Teaching schedule | Enrolment information | Also in minor |
|---|---|---|---|---|---|---|---|
| IMSC 4800 | Undergraduate Project | — | — | Not for students who have taken IMSC4900 or MATH4400 or MATH4900.Pre-requisites: IMSC2028 and IMSC2041 and IMSC2048 and IMSC2068 and IMSC2230 and MATH2221 and PHYS3011 and PHYS3021 and (IMSC2078 or 2240). | — | ||
| IMSC 4900 | Undergraduate Seminar | — | — | Not for students who have taken IMSC4800 or MATH4400 or MATH4900.Pre-requisites: IMSC1038 and IMSC2028. | — |
3.Elective Courses21 units
Choose at least 21 units from the following courses, of which at least 15 units of courses should be from 3000 level or 4000 level and at most 6 units from MATH courses:
IMSC2041, 2078[a] or 2240[a], IMSC3250 or MATH4030 or 5061, IMSC3260 or MATH3070 or 5070, IMSC3270 or MATH4220 or 5021 or 5022, IMSC3280 or MATH4240, IMSC3290 or MATH3230 or 3240 or 5211 or 5212, IMSC3300 or MATH3320 or 3340, IMSC courses at 4000 or 5000 level (except IMSC4800 and 4900), MATH3215, 3250, 3290, 4210, 4250
Show 35 courses
| Course | Title | T1 | T2 | T1 Teaching schedule | T2 Teaching schedule | Enrolment information | Also in minor |
|---|---|---|---|---|---|---|---|
| IMSC 2041 | Basic Physics III | --LEC: Mo 9:30AM - 11:15AM We 12:30PM - 1:15PM -T01-TUT: We 1:30PM - 2:15PM | — | — | |||
| IMSC 2078 | Algebra III | --LEC: Mo 3:30PM - 5:15PM We 9:30AM - 10:15AM -T01-TUT: We 10:30AM - 11:15AM | — | Not for students who have taken any MATH1xxx - 2xxx course, except MATH2221.Pre-requisites: IMSC1038 and (IMSC2048 or MATH2046). | — | ||
| IMSC 2240 | Analysis III | — | — | Not for students who have taken any MATH1xxx - 2xxx course, except MATH2221.Pre-requisites: IMSC2028 and (IMSC2058 or IMSC2068 or MATH2066). | — | ||
| IMSC 3250 | Geometry I | --LEC: Mo 12:30PM - 3:15PM -T01-TUT: Th 9:30AM - 10:15AM | — | Not for students who have taken MATH3070 or 4030 or 5061 or 5062 or 5070.Pre-requisite: IMSC2028. | — | ||
| IMSC 3260 | Topology I | --LEC: Tu 2:30PM - 5:15PM -T01-TUT: Th 2:30PM - 3:15PM | — | Not for students who have taken MATH3070 or 4030 or 5061 or 5062 or 5070.Pre-requisite: IMSC2028. | — | ||
| IMSC 3270 | Differential Equations I | — | --LEC: Tu 12:30PM - 3:15PM -T01-TUT: Th 1:30PM - 2:15PM | Not for students who have taken MATH3270 or 4220 or 5021 or 5022.Pre-requisite: IMSC2028. | — | ||
| IMSC 3280 | Probability Theory I | — | — | Not for students who have taken MATH3280 or 4240.Pre-requisite: IMSC2028. | — | ||
| IMSC 3290 | Numerical Mathematics I | — | — | Not for students who have taken MATH3230 or 3240 or 5211 or 5212.Pre-requisite: IMSC2028. | — | ||
| IMSC 3300 | Mathematical Foundations of Data Analytics and Machine Learning | — | — | Not for students who have taken MATH3320 or 3330 or 3340 or 4230 or 4280.Pre-requisite: IMSC2028. | — | ||
| IMSC 4011 | Intermediate Topics in Algebra and Number Theory I | — | — | — | |||
| IMSC 4012 | Intermediate Topics in Algebra and Number Theory II | — | — | — | |||
| IMSC 4021 | Intermediate Topics in Analysis and Differential Equations I | — | — | — | |||
| IMSC 4022 | Intermediate Topics in Analysis and Differential Equations II | — | — | — | |||
| IMSC 4031 | Intermediate Topics in Geometry and Topology I | — | — | — | |||
| IMSC 4032 | Intermediate Topics in Geometry and Topology II | — | — | — | |||
| IMSC 4041 | Intermediate Topics in Computational and Applied Mathematics I | — | — | — | |||
| IMSC 4042 | Intermediate Topics in Computational and Applied Mathematics II | — | — | — | |||
| IMSC 4051 | Intermediate Topics in Probability and Statistics I | — | — | — | |||
| IMSC 4052 | Intermediate Topics in Probability and Statistics II | — | — | — | |||
| IMSC 4061 | Intermediate Topics in Mathematical Physics I | — | — | — | |||
| IMSC 4062 | Intermediate Topics in Mathematical Physics II | — | — | — | |||
| MATH 3070 | Introduction to Topology | — | --LEC: Th 11:30AM - 1:15PM Tu 10:30AM - 11:15AM -T01-TUT: Tu 11:30AM - 12:15PM | Not for students who have taken any one of IMSC2018, 2028, 2058, 2068, 2230.Pre-requisite: [Alternative 1] MATH3060 [Alternative 2] Grade B- or above in both MATH2050/2058 and MATH2060/2068. | |||
| MATH 3230 | Numerical Analysis | A-LEC: Th 3:30PM - 4:15PM We 10:30AM - 12:15PM AT01-TUT: Th 2:30PM - 3:15PM AT02-TUT: Th 4:30PM - 5:15PM | — | ||||
| MATH 3240 | Numerical Methods for Differential Equations | — | --LEC: Mo 12:30PM - 2:15PM Tu 5:30PM - 6:15PM -T01-TUT: Tu 4:30PM - 5:15PM | ||||
| MATH 3320 | Foundation of Data Analytics | --LEC: Tu 12:30PM - 2:15PM We 3:30PM - 4:15PM -T01-TUT: We 2:30PM - 3:15PM | — | ||||
| MATH 3340 | Mathematics of Machine Learning | — | --LEC: Mo 12:30PM - 2:15PM Tu 4:30PM - 5:15PM -T01-TUT: Tu 5:30PM - 6:15PM | ||||
| MATH 4030 | Differential Geometry | --LEC: Tu 8:30AM - 10:15AM Th 9:30AM - 10:15AM -T01-TUT: Th 8:30AM - 9:15AM | — | Not for students who have taken MATH4033. | |||
| MATH 4220 | Partial Differential Equations | — | --LEC: We 1:30PM - 2:15PM Tu 2:30PM - 4:15PM -T01-TUT: We 12:30PM - 1:15PM | ||||
| MATH 4240 | Stochastic Processes | — | --LEC: Mo 10:30AM - 12:15PM Th 10:30AM - 11:15AM -T01-TUT: Th 9:30AM - 10:15AM | Not for students who have taken IERG3300. | |||
| MATH 5021 | Theory of Partial Differential Equations I | --LEC: Tu 9:30AM - 12:15PM | — | For research postgraduate students under Division of Mathematics, also available to undergraduate students majored in mathematics.Approval is needed for students in MSc Mathematics or MSc Math Education. | |||
| MATH 5022 | Theory of Partial Differential Equations II | — | --LEC: Th 9:30AM - 11:00AM Tu 9:30AM - 11:00AM | For research postgraduate students under Division of Mathematics.Approval is needed for students in BSc Mathematics, BEd Mathematics and Mathematics Education, BSc Mathematics and Information Engineering, MSc Mathematics or MSc Math Education. | |||
| MATH 5061 | Riemannian Geometry I | — | --LEC: Mo 2:30PM - 5:15PM | For research postgraduate students under Division of Mathematics.Approval is needed for students in BSc Mathematics, BEd Mathematics and Mathematics Education or BSc Mathematics and Information Engineering. | |||
| MATH 5070 | Topology of Manifolds | --LEC: We 2:30PM - 5:15PM | — | For research postgraduate students under Division of Mathematics.Approval is needed for students in BSc Mathematics, BEd Mathematics and Mathematics Education or BSc Mathematics and Information Engineering. | |||
| MATH 5211 | Advanced Numerical Analysis I | — | — | For MPhil-PhD Mathematics.Approval is needed for students in BSc Mathematics, BEd Mathematics and Mathematics Education or BSc Mathematics and Information Engineering. | |||
| MATH 5212 | Advanced Numerical Analysis II | --LEC: Tu 2:30PM - 5:15PM | — | For MPhil-PhD Mathematics.Approval is needed for students in BSc Mathematics, BEd Mathematics and Mathematics Education or BSc Mathematics and Information Engineering. |
Explanatory Notes
Students enrolled in the Bachelor of Science Programme in Mathematical Sciences/Mathematics and Applied Mathematics jointly organized by CUHK and CUHK(SZ) (joint programme) should normally spend four regular terms at CUHK(SZ) during the four years of study, except otherwise specified in 2. below.
Students who join term-time exchange programme must spend at least three regular terms at CUHK(SZ) during the four years of study.
Students enrolled in the joint programme can take substitute/equivalent/alternative courses either at CUHK or CUHK(SZ). The list of substitute/equivalent/alternative courses is available at this link (https://www.zsims.cuhk.edu.hk/en/). Students should not take a course and its substitute/equivalent/alternative course. Should they do so, only one course will be counted towards the fulfillment of the unit requirements. Grades of relevant substitute/equivalent/alternative courses taken at CUHK(SZ) will be transferred to CUHK for the purpose of calculation of GPA, Major GPA and credit units.
All Faculty Package courses, Required Courses, and Elective Courses will be included in the calculation of Major GPA for honors classification.
A student who wishes to transfer to the programmes offered by the Faculty of Science or Faculty of Engineering shall follow the prevailing rules and regulations of the University and obtain prior permission from the School Director through written application. Such applications should be made one month before the commencement of the University’s designated application period for the change of programme. No such application shall be accepted once the application period as announced by the University has commenced. In general, students must apply for a change of programme no later than the third year of attendance of their undergraduate studies.
Students admitted by CUHK will be conferred a Bachelor of Science degree in Mathematical Sciences upon completion of all graduation requirements. Students may apply to pursue Ph.D. study under the arrangements of the Articulated B.Sc. – Ph.D. Programme in Mathematical Sciences (ABP), and they must declare the opt-in according to the stipulated procedures by the beginning of the fourth year of attendance. Students are required to obtain a Bachelor of Science degree with honours not lower than Second Class and to satisfy the minimum admission requirements prescribed by the Graduate School and Zhizhen School in order to be eligible to proceed with postgraduate studies, subject to the prevailing University regulations and approval by the relevant authorities. Graduates from the Bachelor’s programmes from CUHK are deemed to have fulfilled the University’s English Language requirements.
Students who wish to pursue Ph.D. study under the ABP should take note of the following:
For CUHK students who are subsequently admitted to the Ph.D. of the ABP, the 5000-level courses that they complete under this programme will be automatically recognized to fulfill the coursework requirement for the Ph.D. Programme, subject to prevailing guidelines. No application for course and unit exemptions is required.
In order to fulfill the graduation requirements for postgraduate study, students must complete a minimum of 9 months of non-local learning/research experience, with at least 3 consecutive months of such experience. A formal term-time exchange programme during undergraduate study, or non-consecutive and substantial non-local learning/research experiences of 4 months or more offered by the University, Colleges, the Faculty of Engineering or Science, Zhizhen School, the Mathematics Department and other relevant programmes may also be considered, subject to the approval of the Division Head
Either one of the two courses taken to fulfill the Required Courses requirement cannot be used to fulfill the Elective Courses requirement.