This degree is intended to enable students to upgrade their expertise in the mathematical sciences either as a route to further study of mathematical sciences or to upgrade their quantitative skills in areas such as the biological sciences and computational science that are rapidly becoming more reliant on advanced techniques from the mathematical sciences.

## Career Options

### Learning Outcomes

Upon successful completion, students will have the skills and knowledge to:

- Explain the fundamental concepts of a chosen research topic and its role in modern mathematics and applied contexts.
- Systematically identify relevant theory and concepts, relate these to appropriate methodologies and evidence, and draw appropriate conclusions.
- Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from the chosen research area.
- Engage in systematic discovery and critical review of appropriate and relevant information sources.
- Communicate research concepts and contexts clearly and effectively both in writing and orally.

## Further Information

New students in this program are eligible to apply for a Commonwealth Supported Place. Visit the following website for further information:http://science.anu.edu.au/study/postgraduate/commonwealth-supported-places

## Admission Requirements

A Bachelor degree or international equivalent with an average mark of at least 70% and at least 8 courses in cognate disciplines.

All applicants must meet the University’s English Language Admission Requirements for Students.

Applicants with a Bachelor Degree or Graduate Certificate in a cognate discipline may be eligible for 24 units (one semester) of credit.

Applicants with a Graduate Diploma or Honours in a cognate discipline may be eligible for 48 units (one year) of credit.

Students must achieve a minimum 70% average mark in the first 48 units of coursework and have the approval of the supervisor for the research project.

**Cognate discipline**

Mathematics, Statistics, Mathematical Economics, Mathematical Finance, Actuarial Studies, Computer Science, Bioinformatics

## Indicative Fees

- Annual indicative fee for international students
- $39,024.00
- Annual indicative fee for domestic students
- $29,280.00

## Scholarships

ANU offers a wide range of scholarships to students to assist with the cost of their studies.

Eligibility to apply for ANU scholarships varies depending on the specifics of the scholarship and can be categorised by the type of student you are. Specific scholarship application process information is included in the relevant scholarship listing.

For further information see the Scholarships website.

## Program Requirements

The Master of Mathematical Sciences (Advanced) requires the completion of 96 units, which must consist of:

24 units from completion of the following research component:

MATH8701 Mathematics Research Project, which may be taken more than once over consecutive semesters

A minimum of 18 units from the completion of courses from the following list:

MATH6102 Environmental Modelling and Integrated Assessment.

MATH6109 Probability Modelling with Applications

MATH6112 Matrix Computations

MATH6115 Mathematical Finance

MATH6116 Fractal Geometry & Applications to Digital Imaging

MATH6119 Numerical Optimisation

MATH6200 Topics in Algebra and Topology

MATH6201 Topics in Computational Mathematics

MATH6202 Theory of Partial Differential Equations

MATH6203 Foundations of Mathematics

MATH6204 Algebraic Topology

MATH6205 Differential Geometry

MATH6206 Topics in Stochastic Analysis

MATH6207 Topics in Statistical Science

MATH6208 Topics in Bioinformatics

MATH6209 Special Topic in Mathematical Sciences

MATH6211 Topics in Mathematical Physics

MATH6212 Analysis 2: Topology, Lebesgue Integration and Hilbert Spaces

MATH6213 Complex Analysis

MATH6214 Analysis 3: Functional Analysis, Spectral theory and Applications

MATH6215 Algebra 2: Field extensions and Galois Theory

MATH6216 Algebra 3: Advanced Topics in Algebra

MATH8702 Mathematics Reading Course which may be completed more than once under different topics.

A maximum of 54 units from completion of courses from the following list:

MATH6100 Bioinformatics and Biological Modelling

MATH6103 Scientific and Industrial Modelling

MATH6110 Analysis 1: Metric spaces and Applications

MATH6111 Scientific Computing

MATH6114 Number Theory and Cryptography

MATH6118 Algebra 1: Groups, Rings and Advanced Linear Algebra

MATH6222 Introduction to Mathematical Thinking: Problem Solving and Proofs

MATH6242 Introduction to Geometry: Curves and Surfaces

MATH6405 Ordinary Differential Equations and Advanced Vector Calculus

MATH6406 Partial Differential Equations, Fourier Analysis and Complex Analysis

Students must achieve a minimum 70% weighted average mark in the first 48 units and have the approval of an identified supervisor for the research project to continue to the research component.

If the total number of units attempted exceeds 48 in the same teaching period in which the 48^{th} unit is attempted, exactly 48 units will be used in the calculation of the weighted average mark with units from the course with the highest mark applied first followed by further units from courses in descending order of marks.

Students who do not achieve a minimum 70% weighted average mark or do not have the approval of an identified supervisor will be transferred to the Graduate Diploma of Science.