# BSc (Hons) in Mathematical Sciences

This curriculum applies to students admitted in AY19/20 or later, pursuing a BSc (Hons) in Mathematical Sciences in the **Pure Math**, **Applied Math**, or **Statistics** tracks.

- Curriculum Overview
- Year 1 | Year 2 | Year 3 | Year 4
- Track In Pure Mathematics
- Track In Applied Mathematics
- Track In Statistics
- Prescribed Electives Available to All Tracks
- Unrestricted Electives for MAS Students

Click here for other versions of the curriculum.

# Curriculum Overview

Course Type | AU |
---|---|

MAS Core Courses | 45 AU |

Core Courses for chosen track (Pure Mathematics / Applied Mathematics / Statistics) | 11 AU |

Prescribed Electives for chosen trackThese may include Final Year Project / Professional Internship.Note that a grade of A- or better in MH4900 (Final Year Project; 8 AU) is required to be eligible for Honours (Highest Distinction). |
24 AU |

GER Core Courses | 18 AU |

GER Elective Courses | 15 AU |

Unrestricted Electives | 21 AU |

Total |
134 AU |

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 A2 electives list.

To satisfy the major with a Concentration in Computational Mathematics, in addition to the above major requirements, a student must pass EITHER at least four courses in the A1 electives list, OR at least four courses in the A3 electives list.

# Year 1

Courses | AU | Sem |
---|---|---|

MH1100 - Calculus I | 4 AU | 1 |

MH1200 - Linear Algebra I | 4 AU | 1 |

MH1300 - Foundations of Mathematics | 4 AU | 1 |

PS0001 - Introduction to Computational Thinking | 3 AU | 1 |

MH1101 - Calculus II | 4 AU | 2 |

MH1201 - Linear Algebra II | 4 AU | 2 |

MH1301 - Discrete Mathematics | 3 AU | 2 |

MH1403 - Algorithms and Computing | 3 AU | 2 |

HW0001 - Introduction to Academic CommunicationFor students who have not passed or been exempted from the Qualifying English Test (QET). |
0 AU | |

GER Prescribed Electives / Unrestricted Electives |
as required |

# Year 2

Courses | AU | Sem |
---|---|---|

MH2100 - Calculus III | 4 AU | 1 |

MH2200 - Groups and Symmetries | 3 AU | 1 |

MH2500 - Probability and Introduction to Statistics | 4 AU | 1 |

MH3100 - Real Analysis I | 4 AU | 2 |

MH3110 - Ordinary Differential Equations | 4 AU | 2 |

PS0002 - Introduction to Data Science and Artificial Intelligence | 3 AU | 2 |

One Core Course from chosen track (Pure Mathematics / Applied Mathematics / Statistics) |
3–4 AU | |

GER Prescribed Electives / Unrestricted Electives | as required |

# Year 3

Courses | AU | Sem |
---|---|---|

MH3XXX - Two Core Courses from chosen track |
7–8 AU | |

MH3XXX/4XXX - Prescribed Electives from chosen track |
as required | – |

GER Prescribed Electives / Unrestricted Electives |
as required | – |

# Year 4

Courses | AU | Sem |
---|---|---|

MH3XXX/4XXX - Prescribed Electives from chosen track |
as required | |

GER Prescribed Electives / Unrestricted Electives |
as required |

# Track In Pure Mathematics

The courses MH491X, MH492X, MH493X, MAS72X and MAS74X can also count towards any of Lists P1–P3, subject to the approval of the division. The remaining AU of the total requirement of 24 AU for Prescribed Electives may be fulfilled through any MH3XXX, MH4XXX, MAS71X, MAS72X and MAS74X courses.

# Track In Applied Mathematics

Courses | AU | Sem | |
---|---|---|---|

Core Courses for the Track |
| ||

MH3101 - Complex Analysis | 4 AU | 1 | |

MH3700 - Numerical Analysis I | 3 AU | 2 | |

MH3701 - Basic Optimization | 4 AU | 2 | |

Prescribed Electives for the Track |
| ||

List A1 |
MH4110 - Partial Differential Equations | 4 AU |
2 |

MH4700 - Numerical Analysis II | 4 AU | 1 | |

MH4711 - Mathematical Modelling in Imaging, Vision and Graphics | 4 AU | - | |

MH4730 - Mathematics in Biology and Medicine | 4 AU | - | |

MAS710 - Continuous Methods | 4 AU | 2 | |

EE4476 - Image Processing | 3 AU | | |

List A2 |
MH3300 - Graph Theory | 4 AU | 1 |

MH4310 - Coding Theory | 4 AU | 2 | |

MH4311 - Cryptography | 4 AU | 2 | |

MAS711 - Discrete Methods | 4 AU | 1 | |

CZ4042 - Neural Networks | 3 AU | | |

List A3 |
MH3310 - Mathematical Foundations of Game Theory | 4 AU | - |

MH4302 - Theory of Computing | 4 AU | 1 or 2 | |

MH4701 - Mathematical Programming | 4 AU | 1 | |

MH4702 - Probabilistic Methods in OR | 4 AU | 1 | |

MH4320 - Computational Economics | 4 AU | 1 | |

CZ2001 - Algorithms | 3 AU | | |

MH3400 - Algorithms for the Real World | 4 AU | 2 | |

MH3512 - Stochastic Processes | 4 AU | 1 | |

MH4514 - Financial Mathematics | 4 AU | 2 | |

MAS714 - Algorithms and Theory of Computing | 4 AU | 1 | |

List A4 |
PH3501 - Fluid Mechanics (this course is no longer offered) | 4 AU | - |

PH3502 - Chaotic Dynamical Systems | 4 AU | 1 | |

PH4502 - Atmospheric Physics (this course is no longer offered) | 4 AU | - | |

PH4503 - Quantum Theory (this course has been withdrawn) | 4 AU | - | |

List A5 |
MH4900 - Final Year Project | 8 AU | |

MH4912 - Professional Internship | 10 AU | |

The courses MH491X, MH492X, MH493X, MAS72X and MAS74X can count towards any of Lists A1–A5, subject to the approval of the division. The remaining AU of the total requirement of 24 AU for Prescribed Electives may be fulfilled through any MH3XXX, MH4XXX, MAS71X, MAS72X and MAS74X courses.

# Track In Statistics

Courses | AU | Sem | |
---|---|---|---|

Core Course for the Track |
| ||

MH3500 - Statistics | 4 AU | 2 | |

MH3510 - Regression Analysis | 4 AU | 1 | |

MH3511 - Data Analysis with Computer | 3 AU | 2 | |

Prescribed Electives for the Track |
| ||

List S1 |
MH3512 - Stochastic Processes | 4 AU | 1 |

MH4500 - Time Series Analysis | 4 AU | 2 | |

MH4501 - Multivariate Analysis | 4 AU | 2 | |

MAS713 - Mathematical Statistics | 4 AU | 2 | |

List S2 |
MH4730 - Mathematics in Biology and Medicine | 4 AU | - |

MH4510 - Statistical Learning and Data Mining | 4 AU | 1 | |

MH4511 - Sampling & Survey | 4 AU | 1 | |

MH4512 - Clinical Trials | 4 AU | 2 | |

MH4513 - Survival Analysis | 4 AU | 1 | |

BA2202 – Mathematics of Finance | 4 AU | 1 | |

BA3202 – Actuarial Statistics | 4 AU | 2 | |

HE3022 – Econometric Modeling and Forecasting | 3 AU | 2 | |

HE4021 – Advanced Econometrics | 3 AU | 2 | |

MH4514 - Financial Mathematics | 4 AU | 2 | |

MH3701 - Basic Optimization | 4 AU | 2 | |

MH3310 - Mathematical Foundations of Game Theory | 4 AU | - | |

MH4302 - Theory of Computing | 4 AU | 1 or 2 | |

MH4701 - Mathematical Programming | 4 AU | 1 | |

MH4702 - Probabilistic Methods in OR | 4 AU | 1 | |

MH4320 - Computational Economics | 4 AU | 1 | |

MAS714 - Algorithms and Theory of Computing | 4 AU | 1 | |

MH3400 - Algorithms for the Real World | 4 AU | 2 | |

List S3 |
MH4900 - Final Year Project | 8 AU | |

MH4912 - Professional Internship | 10 AU | |

The courses MH491X, MH492X, MH493X, MAS72X and MAS74X can count towards any of Lists S1–S3, subject to the approval of the division. The remaining AU of the total requirement of 24 AU for Prescribed Electives may be fulfilled through any MH3XXX, MH4XXX, MAS71X, MAS72X and MAS74X courses.

# Prescribed Electives Available to All Tracks

Courses | AU | Sem |
---|---|---|

MH4910 - Undergraduate Research Experience in Mathematical Sciences I | 4 AU | S |

MH4911 - Undergraduate Research Experience in Mathematical Sciences II | 4 AU | S |

MH4930 - Special Topics in Mathematics | 4 AU | 1 |

MH4931 - Special Topics in Applied Mathematics | 4 AU | 1 |

MH4932 - Special Topics in Statistics | 4 AU | 1 |

MH4920 - Supervised Independent Study I | 4 AU | 1 & 2 |

MH4921 - Supervised Independent Study II | 4 AU | 1 & 2 |

# Unrestricted Electives for MAS Students

These courses are offered specially to MAS students, to be read as Unrestricted Electives.

Courses | AU | Sem |
---|---|---|

MH9000 - Mathematical Problem-Solving | 2 AU | 1 |

MH9100 - Advanced Investigations in Calculus I | 1 AU | 1 |

MH9101 - Advanced Investigations in Calculus II | 1 AU | 2 |

MH9102 - Advanced Investigations in Calculus III | 1 AU | 1 |

MH9200 - Advanced Investigations in Linear Algebra I | 1 AU | 1 |

MH9201 - Advanced Investigations in Linear Algebra II | 1 AU | 2 |

MH9300 - Advanced Investigations in Discrete Mathematics | 1 AU | 2 |

MH4907 - Professional Attachment | 6 AU | S |