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Doctor of Philosophy (SMAS)
Overview
Doctor of Philosophy (PhD) candidates undertake in-depth
research in order to make an original contribution to the
body of knowledge in mathematical or statistical studies.
This qualification can lead to, or enhance, an academic career
and is highly regarded by private and public sector employers.
Entry Requirements / Assumed Knowledge
A four-year Honours Bachelor degree in any relevant area
of Mathematics or Statistics (a minimum of Class II, Division
2), or a Master of Science – Research (Mathematics)
or (Statistics) with a strong performance in the 48-credit
point thesis, or equivalent.
Course Requirements
This program is 100% by thesis (carrying weighting of 48
credit points per year). Students may be required to attend
lectures in relevant topics on occasion throughout the program.
Current Research Areas
Engineering and Applied Mathematics
- Non-linear continuum mechanics including large elastic deformations
- Granular Materials
- Elasticity and fracture mechanics
- Non-linear waves
- Microwave heating
- Combustion theory
- Bioreactor engineering
- Chemical reaction engineering
- Computational fluid dynamics
- Applied non-linear dynamical systems
- Lie group and symmetry analysis of non-linear differential equations
- Oceanography
- Rail development
- Numerical modelling: exact solutions of partial differential equations
- Industrial applications of mathematics
Statistical and Survey Methodology
- E-education
- Epidemiology
- Experimental design
- Goodness of fit
- Image analysis
- Multivariate analysis
- Neural networks
- Nonparametrics
- Quasi-likelihood
- Sample survey design analysis and methodology
- Spatial statistics
- Statistical decision theory
- Statistical quality control
- Time series analysis
Mathematical Analysis
- Algebra
- Analysis
- Harmonic analysis and wavelets
- Group theory
- Topology and chaos
- Logic and type theory
- Topological groups
- Measure theory
- Number theory
- Functional analysis
- Combinatorial designs
Other Information
It is possible to downgrade enrolment from a PhD to a Master
of Science - Research, with the permission of the Head of
School.
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