MATH (Matric Yr 2021-2023)

BSc in Mathematical Sciences

Curriculum (Matriculation Year 2021-2023)

Curriculum Overview

The Mathematical Sciences major is divided into four tracks: Pure Mathematics (PMAS), Applied Mathematics (AMAS), Statistics (STAT), and Business Analytics (BA). The distribution of Academic Units (AU) varies between the different tracks.

Course Type	Academic Units (AU)
Course Type	PMAS	AMAS	STAT	BA
Core Courses	45	45	45	37
Track Core	7	7	8	13
Prescribed Electives for chosen Track Choose one of the two options: Take Professional Attachment (PA), MH4913. (Eligible to take during Year 2 or Year 3 Special Term) Take Professional Internship (PI), MH4912. (Eligible to take from Year 3) AU figures for the PI option are shown in parentheses.	24 (19)	24 (19)	23 (18)	26 (21)
Interdisciplinary Collaborative Core: Common Core	17
Interdisciplinary Collaborative Core: Foundational Core	10 (15)
Broadening and Deepening Electives (BDE) Can take BDEs offered by any School.	26
Total	129 AU

Notes:

AU figures in parentheses (x) indicate the number of AU if the option with PI is selected.
A grade of A- or better in the Final Year Project (MH4900) is required to be eligible for Honours (Highest Distinction).
To satisfy the major with a Concentration in the Mathematics of Information and Communication, in addition to the above major requirements, a student must pass four courses in the Mathematics of Information and Communication List.
To satisfy the major with a Concentration in Computational Mathematics, in addition to the above major requirements, a student must pass four courses in the Computational Mathematics List.
All core and track core courses cannot be mapped to exchange courses. A maximum of three Major Prescribed Electives can be mapped to exchange courses. Please refer to this page for more information.

Curriculum by Year

Year 1 Semester 1

MH1100 - Calculus I	4 AU
MH1200 - Linear Algebra I	4 AU
MH1300 - Foundations of Mathematics	4 AU
PS0001 - Introduction to Computational Thinking	3 AU
CC0003 - Ethics & Civics in a Multi-Cultural World	2 AU
CC0002 - Navigating the Digital World	2 AU
HW0001 - Introduction to Academic Communication (for students who fail QET)	0 AU

Year 1 Semester 2

MH1101 - Calculus II	4 AU
MH1201 - Linear Algebra II	4 AU
MH1301 - Discrete Mathematics	3 AU
MH1403 - Algorithms and Computing	3 AU
CC0001 - Inquiry and Communication in an interdisciplinary World	2 AU
CC0005 - Healthy Living and Wellbeing	3 AU

Year 2 Semester 1

For Business Analytics Track (BA)
MH2100 - Calculus III	4 AU
MH2500 - Probability and Introduction to Statistics	4 AU
CC0006 - Sustainability: Society, Economy & Environment	3 AU
ML0004 - Career and Innovative Enterprise for the Future World	2 AU
Broadening and Deepening Elective(s)	3 AU each
BE1402 - Business Operations and Processes	3 AU
BU8601 - Fundamentals of Management	3 AU

Year 2 Semester 2

For Pure Mathematics Track (PMAS)
PS0002 - Introduction to Data Science and Artificial Intelligence	3 AU
CC0007 - Science & Technology for Humanity	3 AU
Track Prescribed Elective(s)	4 AU each
Broadening and Deepening Elective(s)	3 AU each
MH2220 - Algebra I	3 AU
MH3100 - Real Analysis I	4 AU
MH3110 - Ordinary Differential Equations	4 AU
For Applied Mathematics Track (AMAS)
MH3100 - Real Analysis I	4 AU
MH3110 - Ordinary Differential Equations	4 AU
MH3701 - Basic Optimization	4 AU
For Statistics Track (STAT)
MH3100 - Real Analysis I	4 AU
MH3110 - Ordinary Differential Equations	4 AU
MH3500 - Statistics	4 AU
For Business Analytics Track (BA)
MH3500 - Statistics	4 AU
MH3511 - Data Analysis with Computer	3 AU

Year 2 Special Terms

MH4913 Professional Attachment
(for PA option; can also be taken during Year 3 Special Terms)

5 AU

Year 3 Semester 1

For Pure Mathematics Track (PMAS)
HW0218 - Communication Across the Sciences	2 AU
Track Prescribed Elective(s)	4 AU each
Broadening and Deepening Elective(s)	3 AU each
MH3101 - Complex Analysis	4 AU
For Statistics Track (STAT)
MH3510 - Regression Analysis	4 AU

Year 3 Semester 2

For Applied Mathematics Track (AMAS)
Track Prescribed Elective(s)	4 AU each
Broadening and Deepening Elective(s)	3 AU each
MH3700 - Numerical Analysis I	3 AU

Year 3 Special Terms

MH4913 Professional Attachment
(for PA option; can also be taken during Year 2 Special Terms)

5 AU

Year 4 Semester 1

Track Prescribed Elective(s)	4 AU each
Broadening and Deepening Elective(s)	3 AU each

Year 4 Semester 2

Track Prescribed Elective(s)	4 AU each
Broadening and Deepening Elective(s)	3 AU each

Prescribed Electives

Pure Mathematics Track (PMAS)

Option with PA: Choose 24 AU of courses from the following list; at least 16 AU must be level 4 or higher.
Option with PI: Choose 19 AU of courses from the following list; at least 8 AU must be level 4 or higher (excluding the Final Year Project (MH4900)).

MH3220 - Algebra II	4 AU	Sem 1
MH3210 - Number Theory	4 AU	Sem 1
MH3400 - Algorithms for the Real World	4 AU	Sem 2
MH3520 - Mathematics of Deep Learning	4 AU	Sem 1
MH3600 - Topology and Manifolds	4 AU	Sem 2
MH4100 - Real Analysis II	4 AU	Sem 2
MH4200 - Abstract Algebra II	4 AU	Sem 2
MH4300 - Combinatorics	4 AU	Sem 1
MH4301 - Set Theory and Logic	4 AU	Sem 1 or 2
MH4302 - Theory of Computing	4 AU	Sem 1 or 2
MH4310 - Coding Theory	4 AU	Sem 2
MH4311 - Cryptography	4 AU	Sem 1
MH4600 - Algebraic Topology	4 AU	Sem 2
MH4601 - Differential Geometry	4 AU	Sem 2
MH7002 - Discrete Methods	4 AU	Sem 2
MH4900 - Final Year Project	8 AU	Sem 1 & 2
MH4910, MH4911, MH492x, MH493x (subject to division approval)	4 AU

Applied Mathematics Track (AMAS)

Option with PA: Choose 24 AU of courses from the following list; at least 16 AU must be level 4 or higher.
Option with PI: Choose 19 AU of courses from the following list; at least 8 AU must be level 4 or higher (excluding the Final Year Project (MH4900)).

MH2220 - Algebra I	3 AU	Sem 2
MH3101 - Complex Analysis	4 AU	Sem 1
MH3300 - Graph Theory	4 AU	Sem 1
MH3400 - Algorithms for the Real World	4 AU	Sem 2
MH3401 - Signal and Noise in Biology	3 AU	Sem 2
MH3512 - Stochastic Processes	4 AU	Sem 1
MH3520 - Mathematics of Deep Learning	4 AU	Sem 1
MH3600 - Topology and Manifolds	4 AU	Sem 2
MH4110 - Partial Differential Equations	4 AU	Sem 2
MH4302 - Theory of Computing	4 AU	Sem 1 or 2
MH4310 - Coding Theory	4 AU	Sem 2
MH4311 - Cryptography	4 AU	Sem 1
MH4320 - Computational Economics	4 AU	Sem 1
MH4514 - Financial Mathematics	4 AU	Sem 2
MH4517 - Data Applications in Natural Sciences	4 AU	Sem 2
MH4518 - Simulation Techniques in Finance	4 AU	Sem 1
MH4519 - Financial Econometrics	4 AU	Sem 2
MH4700 - Numerical Analysis II	4 AU	Sem 1
MH4701 - Mathematical Programming	4 AU	Sem 1
MH4702 - Probabilistic Methods in OR	4 AU	Sem 1
MH7002 - Discrete Methods	4 AU	Sem 1
SC2001 - Algorithm Design and Analysis	3 AU
SC4001 - Neural Network and Deep Learning	3 AU
EE4476 - Image Processing	3 AU
MH4900 - Final Year Project	8 AU	Sem 1 & 2
MH4910, MH4911, MH492x, MH493x (subject to division approval)	4 AU

Statistics Track (STAT)

Option with PA: Choose 23 AU of courses from the following list; at least 15 AU must be level 4 or higher.
Option with PI: Choose 18 AU of courses from the following list; at least 7 AU must be level 4 or higher (excluding the Final Year Project (MH4900)).

MH2220 - Algebra I	3 AU	Sem 2
MH3400 - Algorithms for the Real World	4 AU	Sem 2
MH3401 - Signal and Noise in Biology	3 AU	Sem 2
MH3511 - Data Analysis with Computer	3 AU	Sem 2
MH3512 - Stochastic Processes	4 AU	Sem 1
MH3520 - Mathematics of Deep Learning	4 AU	Sem 1
MH3701 - Basic Optimization	4 AU	Sem 2
MH4302 - Theory of Computing	4 AU	Sem 1 or 2
MH4320 - Computational Economics	4 AU	Sem 1
MH4500 - Time Series Analysis	4 AU	Sem 2
MH4501 - Multivariate Analysis	4 AU	Sem 2
MH4510 - Statistical Learning and Data Mining	4 AU	Sem 1
MH4511 - Sampling & Survey	4 AU	Sem 1
MH4512 - Clinical Trials	4 AU	Sem 2
MH4513 - Survival Analysis	4 AU	Sem 1
MH4514 - Financial Mathematics	4 AU	Sem 2
MH4515 - Applied Bayesian Statistics	4 AU
MH4516 - Applied Categorical Data Analysis	4 AU
MH4517 - Data Applications in Natural Sciences	4 AU	Sem 2
MH4518 - Simulation Techniques in Finance	4 AU	Sem 1
MH4519 - Financial Econometrics	4 AU	Sem 2
MH4701 - Mathematical Programming	4 AU	Sem 1
MH4702 - Probabilistic Methods in OR	4 AU	Sem 1
BA2202 – Mathematics of Finance	4 AU	Sem 1
BA3202 – Actuarial Statistics	4 AU	Sem 1
HE4021 – Advanced Econometrics	4 AU	Sem 2
MH4900 - Final Year Project	8 AU	Sem 1 & 2
MH4910, MH4911, MH492x, MH493x (subject to division approval)	4 AU

Business Analytics Track (BA)

Option with PA: Choose 26 AU of courses from the following list. At least 2 courses must be from List B1, and at least 14 AU must be level 4 or higher.
Option with PI: Choose 21 AU of courses from the following list. At least 2 courses must be from List B1, and at least 6 AU must be level 4 or higher (excluding the Final Year Project (MH4900)).

List B1
BC2402 - Designing & Developing Databases	4 AU
BC2411 - Prescriptive Analytics: From Data to Decision	3 AU
BT2404 - Services Operations Management	3 AU
BC3410 - Financial Service Processes and Analytics	3 AU
List B2
MH3110 - Ordinary Differential Equations	4 AU
MH3400 - Algorithms for the Real World	4 AU
MH3510 - Regression Analysis	4 AU
MH3520 - Mathematics of Deep Learning	4 AU
MH3700 - Numerical Analysis I	3 AU
MH3701 - Basic Optimization	4 AU
MH4320 - Computational Economics	4 AU
MH4500 - Time Series Analysis	4 AU
MH4501 - Multivariate Analysis	4 AU
MH4510 - Statistical Learning and Data Mining	4 AU
MH4513 - Survival Analysis	4 AU
MH4517 - Data Applications in Natural Sciences	4 AU
MH4518 - Simulation Techniques in Finance	4 AU
MH4519 - Financial Econometrics	4 AU
MH4700 - Numerical Analysis II	4 AU
MH4701 - Mathematical Programming	4 AU
MH4702 - Probabilistic Methods in OR	4 AU
SC2207 - Introduction to Databases	3 AU
SC4000 - Machine Learning	3 AU
SC4021 - Information Retrieval	3 AU
MH4900 - Final Year Project	8 AU
MH4910, MH4911, MH492x, MH493x (subject to approval by division)	4 AU

Prescribed Electives Open To All Tracks

MH3320 - Dynamical System Theory with Chaos and Fractals	4 AU	Sem 2
MH4522 - Spatial Data Science	4 AU	Sem 2
MH4910 - Undergraduate Research Experience in Mathematical Sciences I	4 AU	Sem S
MH4911 - Undergraduate Research Experience in Mathematical Sciences II	4 AU	Sem S
MH4930 - Special Topics in Mathematics	4 AU
MH4931 - Special Topics in Applied Mathematics	4 AU
MH4932 - Special Topics in Statistics	4 AU
MH4920 - Supervised Independent Study I	4 AU	Sem 1 & 2
MH4921 - Supervised Independent Study II	4 AU	Sem 1 & 2

Special Broadening and Deepening Electives

The following courses are offered specially to MAS students, to be read as Broadening and Deepening Electives.

MH5000 - Mathematical Problem-Solving	2 AU	Sem 1
MH5100 - Advanced Investigations in Calculus I	1 AU	Sem 1
MH5101 - Advanced Investigations in Calculus II	1 AU	Sem 2
MH5200 - Advanced Investigations in Linear Algebra I	1 AU	Sem 1
MH5201 - Advanced Investigations in Linear Algebra II	1 AU	Sem 2