Study Mode and Study Period

 

The study mode is full-time for all streams of MPhil-PhD Programme in Mathematics. The study period for students of different streams/stages are summarized below:

1. For MPhil students, the study period is from 24 months to 48 months.

2. For PhD students who enter with a research master’s degree, the study period is from 48 months to 72 months, of which the students have maximum 24 months to pass the candidacy requirement counted from first entry. A student who fails to pass the candidacy requirement within 24 months is required to withdraw from PhD study.

3. For PhD students who enter without a research master’s degree, the study period is from 60 months to 84 months, of which the students have maximum 36 months to pass the candidacy requirement counted from first entry. A student who fails to pass the candidacy requirement within 36 months is allowed to switch to MPhil study.

*Candidacy Requirement: The Postgraduate Qualification Examination includes both written examination and oral examination (thesis proposal is required for oral examination).

Degree Mode Maximum Pre-Candidacy Period  Normative Period Maximum Period
MPhil Full-time -- 24 months 48 months
PhD (entering with a research master’s degree) Full-time 24 months 48 months 72 months
PhD (entering without a research master’s degree) Full-time 36 months 60 months 84 months

 

Credits Required

 

For MPhil students, minimum of 18 units are required from the following list of lecture courses (6 courses).

For PhD students, minimum of 27 units are required from the following list of lecture courses (9 courses).

 

Curriculum

                                                   

 

Measure Theory and Integration

Functional Analysis

Complex Function Theory

Ordinary Differential Equations and Dynamical Systems

Advanced Abstract Algebra I

Riemannian Geometry

Methods of Applied Mathematics

Partial Differential Equations I

Partial Differential Equations II

Advanced Abstract Algebra II

Lie group and Lie algebra

Differential Topology

Algebraic Topology

                                                  

 

Algebraic Geometry

Advanced Numerical Methods

Advanced Probability Theory and Mathematical Statistics

Advanced Financial Models

Topics in Analysis

Topics in Partial Differential Equations

Topics in Algebra

Topics in Differential Geometry and Topology

Topics in Applied Mathematics

Topics in Scientific Computing

Topics in Financial Mathematics

Financial Data Analysis

Computational Methods in Financial Engineering

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