Master of Mathematics 8719

The spectrum of mathematics stretches from the most fundamental and abstract research, to specific theories supporting new scientific findings, to concrete analyses of the world around us. The UNSW Master of Mathematics program offers intensive, high level training in all those aspects of mathematical sciences. Its flexible structure allows the students to build a program which suits their individual interest best, as its building blocks consist of both “pure” components which address the core theory, and “applied” components which explore practical solutions to real-world problems. The program is suitable for students who seek to develop their analytic skills through gaining experience in learning how to cope with new concepts, higher levels of abstraction, new techniques and new applications, as demanded by today’s employers. The program will also broaden substantially the mathematical knowledge that the students have gained from prior studies, preparing them for further research in mathematics.

Entry Requirements

To enter the Master of Financial Mathematics program, students must:

  • have completed a Bachelor’s degree (or equivalent) in Mathematics or a Bachelor’s degree (or equivalent) in Science with a major in mathematics; and
  • have sufficient mathematical background, as indicated by an average of 65% or above in relevant level III mathematics university courses.

Prospective international students should note that this program has English language requirements as well.

Application

A formal application must be made online. It must include a copy of the past academic transcripts of the applicant, as well as any relevant information (work experience, certificates, etc.) evidencing the aptitude of the applicant to undertake the program.

Entry to this program is available in February (Term 1) or September (Term 3). Applicants must be aware of the application closing dates.

Fees

All coursework masters programs at UNSW are fee-paying.

All the postgraduate programs offered by the UNSW School of Mathematics and Statistics are Commonwealth Supported, meaning that domestic students may benefit from a contribution of the Australian Government towards the cost of their education. 

For international applicants, please refer to International Fees.

Program structure and courses

The program consists of 72 units of credit (UoC). This comprises 10 elective courses (60 UoC) and a compulsory supervised research project worth 12 UoC.

Courses

The elective courses are normally chosen from the list of postgraduate courses offered by the School of Mathematics and Statistics (all MATH5XXX courses, except for MATH5846 and MATH5856). Those courses include, but are not limited to:

  • MATH5165 Optimisation
  • MATH5175 Special Topic in Applied Mathematics I
  • MATH5185 Special Topic in Applied Mathematics II
  • MATH5215 Special Topic in Applied Mathematics III
  • MATH5285 Fluids, Oceans and Climate
  • MATH5295 Special Topic in Applied Mathematics IV
  • MATH5305 Computational Mathematics
  • MATH5335 Computational Methods for Finance
  • MATH5361 Stochastic Differential Equations: Theory, Applications, and Numerical Methods
  • MATH5425 Graph Theory
  • MATH5505 Combinatorics
  • MATH5515 Special Topic in Pure Mathematics I
  • MATH5525 Noncommutative Harmonic Analysis
  • MATH5535 Special Topic in Pure Mathematics II
  • MATH5605 Functional Analysis
  • MATH5615 Banach and Operator Algebras
  • MATH5645 Algebraic Number Theory
  • MATH5665 Algebraic Topology
  • MATH5685 Complex Analysis
  • MATH5700 Modern Differential Geometry and Topology
  • MATH5705 Modern Analysis
  • MATH5706 Modern Algebra
  • MATH5715 Harmonic Analysis
  • MATH5725 Galois Theory
  • MATH5735 Modules and Representation Theory
  • MATH5765 Algebraic Geometry
  • MATH5785 Geometry
  • MATH5825 Measure, Integration & Probability
  • MATH5835 Stochastic Processes
  • MATH5905 Statistical Inference

Note that only a subset of those courses are offered in any given term and year. The list of courses offered in the current year can be found here.

Students may also choose up to a maximum of 18 UoC (i.e., normally 3 courses) of external courses from other disciplines at UNSW Sydney. External courses may also include courses taken from other Schools of Mathematics in Australia (for instance, at the University of Sydney), or courses taught within the Summer School of the Australian Mathematical Sciences Institute (AMSI).

Any choice of external courses must be approved by the School of Mathematics and Statistics Director of Postgraduate Studies (Coursework) (as well as by the relevant course authority).

Program structure

An example of program structure for a full-time student starting in Term 1 is as follows:  

Year 1

 

Year 2

Term 1

Term 2

Term 3

 

Term 1

Term 2

Elective

Elective

Elective

MATH5005

MATH5006

Elective

Elective

Elective

 

Elective

Elective

Elective

Elective

       

The number of elective courses undertaken on each term remains at the discretion of the student, provided that it does not exceed the normal full load of study (maximum18 UoC on any given term, maximum 48 UoC on any given year). This structure is flexible. In particular, part-time students are free to reshape it over more than 5 terms in the most suitable way for them, provided that it stays in agreement with the relevant University policies.

Any proposed program of study which substantially deviates from the above example requires the approval of the School of Mathematics and Statistics Director of Postgraduate Studies (Coursework).

Components MATH5005 and MATH5006 in the above structure correspond to the Masters project. The project is taken over two consecutive terms after completing at least 36 UoC (typically, 6 courses). Students need to have maintained a WAM of 70 or higher in the first six courses of their program to progress to the project. Students who do not achieve the required WAM will be awarded with the Graduate Diploma in Mathematics and Statistics (program 5659) providing they pass 8 courses (or with the Graduate Certificate in Mathematics and Statistics (program 7659) provided they pass 4 courses). Enrolment in the project is conditional on the approval of the program authority, i.e. the Director of Postgraduate Studies (Coursework), and is subject to appropriate supervision resources being available.

The Master project

The project is a compulsory part of any Master program, and is worth 12 Units of Credit (UoC). It gives the student an opportunity to make practical use of the knowledge gained through their Master and to learn to work independently. It prepares the student for the problem-solving and report-writing aspects of future employment, or for progression to a research degree.

The project involves writing a thesis, i.e. a coherent written exposition of a chosen topic. Each student works under the supervision of one academic staff member. Members of the School are flexible about the range of areas in which they will supervise students. Prospective students should start talking to staff members about possible topics as early as possible. Supervision by individual staff members is conditional on staff agreement. Ideally, a decision as to the supervisor and the topic should be made before the start of the first term of the project. The thesis could include a literature survey and a critical analysis of the topic area, or could be a small research project.

The thesis will be assessed for quality in four major areas, each of which being equally important:

  • Exposition: structure and presentation of the thesis, including definition of the problem, organisation of the argument, clarity in terms of writing style and illustrative materials;
  • Literature coverage: sufficient introductory and summary material, position of the topic in a  wider context, review and critique of relevant literature in the field;
  • Critical analysis and insight: understanding of the problem and/or model, justification and implementation of the appropriate method and techniques, quality of the discussion (analysis and interpretation), appropriateness of conclusions and recommendations;
  • Originality: new contribution by way of modifying or extending earlier methods, by developing new examples, or by application to a new area.

At the end of their project, the student gives an oral presentation of 20 minutes on their thesis to staff members of School, interested visitors and other students. A short session of Questions & Answers follows. The presentation is worth 20% of the final project mark. The presentation will be assessed on: engagement; knowledge displayed; motivation presented for the study of the topic; description of contributions/achievements; description of results; clarity of verbal discussion; clarity of slides/figures; keeping to time; and responses to questions.

Further Assistance

Contact:

Dr Gery Geenens
Director of Postgraduate Studies (Coursework)
School of Mathematics and Statistics
UNSW Sydney NSW 2052 Australia

Inquiries via email must be sent to pg.MathsStats@unsw.edu.au