# 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) | |||
---|---|---|---|---|

PMAS | AMAS | STAT | BA | |

Core Courses | 45 | 45 | 45 | 37 |

Track Core | 7 | 7 | 8 | 13 |

Prescribed Electives for chosen TrackChoose one of the two options:
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).
- Students who do not take the Final Year Project can opt to do either Professional Internship (MH4912) or Professional Attachment (MH4913).
- 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.

# 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

MH2100 - Calculus III | 4 AU |

MH2500 - Probability and Introduction to Statistics | 4 AU |

CC0006 - Sustainability: Society, Economy & Environment | 3 AU |

ML0004 - Career and Entrepreneurial Development for the Future World | 2 AU |

Broadening and Deepening Elective(s) | 3 AU each |

For Business Analytics Track (BA) | |
---|---|

BE1402 - Business Operations and Processes | 3 AU |

BU8601 - Fundamentals of Management | 3 AU |

### Year 2 Semester 2

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 |

For Pure Mathematics Track (PMAS) | |
---|---|

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

HW0218 - Communication Across the Sciences | 2 AU |

Track Prescribed Elective(s) | 4 AU each |

Broadening and Deepening Elective(s) | 3 AU each |

For Pure Mathematics Track (PMAS) | |
---|---|

MH3101 - Complex Analysis | 4 AU |

For Statistics Track (STAT) | |

MH3510 - Regression Analysis | 4 AU |

### Year 3 Semester 2

Track Prescribed Elective(s) | 4 AU each |

Broadening and Deepening Elective(s) | 3 AU each |

For Applied Mathematics Track (AMAS) | |
---|---|

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 |

MH4912 - Professional Internship(for PI option) | 10 AU |

### Year 4 Semester 2

Track Prescribed Elective(s) | 4 AU each |

Broadening and Deepening Elective(s) | 3 AU each |

# Prescribed Electives

- 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 |

- 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 |

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 |

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 |

- 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)).

- 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)).

# Special Broadening and Deepening Electives

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