Mathematics

Introduction

UNE has been offering mathematics since the university was founded in 1938. Our current offering ranges from service courses, through an undergraduate major, to honours, masters and doctoral degrees.

This page provides information about mathematics offerings at UNE, career opportunities and related information.

Why study Mathematics at UNE?

Mathematics can be studied at UNE, full-time or part-time, either on campus, by attending lectures and tutorials on campus, or online, with all course material provided. Intensive schools are provided for online students to work with their colleagues and our staff in a focussed manner. Whichever mode of study you choose, and you may change as needed, you can expect a high level of individual attention from your lecturers and tutors.

On campus students enjoy the benefits of the relaxed atmosphere of the city of Armidale, a university town with thriving cultural life in a rural setting.

Mathematicians at UNE are engaged in internationally competitive research in both pure and applied mathematics, supported by the Australian Research Council and other funding organisations.

Our students, whether studying on campus or online, have ample opportunity to engage in research with supervision from mathematicians with strong research background and international experience.

You will find studying mathematics at UNE a rewarding experience.

Computing facilities and support

The disciplines of mathematics, statistics and computer science share a dedicated computer system, "turing", supporting teaching and research. In addition to the usual software, turing offers a variety of specialised programmes for scientific, mathematical and statistical computing. Software is kept up-to-date by dedicated technical staff. Turing also provides access to the Beowulf cluster, a 24 node high performance parallel processing facility. Online students do not need to purchase any extra software to connect to or use turing. The School's technical staff provides support for all operating systems.

Courses

Undergraduate

Bachelor of Science
Bachelor of Computer Science
Bachelor of Education (Secondary Mathematics)
Bachelor of Education (Secondary Science)
Bachelor of Arts/Bachelor of Science
Bachelor of Science/Bachelor of Laws
Diploma in Science

Bachelor honours
Bachelor of Science with Honours

Postgraduate
Graduate Certificate in Science
The Mathematics major in the Graduate Certificate in Science covers subjects such as topology, abstract algebra, complex analysis and differential equations combined with probability and simulation, multivariable calculus, linear algebra and number theory.

Graduate Diploma in Science
The Mathematics major in the Graduate Diploma in Science combines the same range of topics as the Graduate Certificate with the opportunity to complete a small research project.

Master of Scientific Studies
In the Master of Scientific Studies, the Mathematics major includes advanced topics in geometry, analysis, mathematics and algebra together with multivariable calculus and differential equations with the opportunity to include advanced topics in applied statistics, probability and inference, stochastic process and multi-level models. Students also have the opportunity to complete a research project.

Postgraduate research
Doctor of Philosophy
Master of Science

Units

Undergraduate

Year 1
AMTH140 Discrete Mathematics
MTHS100 Introduction to Quantitative Skills
MTHS110 Quantitative Skills with Applications
MTHS120 Calculus and Linear Algebra 1
MTHS130 Calculus and Linear Algebra 2

Year 2
AMTH246 Mathematical Methods in the Sciences
AMTH250 Introduction to Programming in The Sciences
MATH260 Probability and Simulation
PMTH212 Multivariable Calculus
PMTH213 Linear Algebra

Year 3
PMTH331 Introduction to Topology
PMTH332 Abstract Algebra
PMTH333 Complex Analysis
PMTH338 Number Theory
PMTH339 Differential Equations

Honours
SCI400 Honours in Science

Postgraduate
PMTH412 Multivariable Calculus
PMTH413 Linear Algebra
PMTH431 Introduction to Topology
PMTH432 Abstract Algebra
PMTH433 Complex Analysis
PMTH439 Differential Equations
MATH460 Probability and Simulation
MATH501 Advanced Topics in Geometry
MATH502 Advanced Topics in Analysis
MATH503 Advanced Topics in Mathematics
MATH504 Advanced Topics in Algebra

Careers

Graduates in mathematics and/or statistics are well-placed to pursue a wide range of careers. Their skills and background are highly sought in finance, computer science and IT, the insurance, banking, etc.

A degree in mathematics and statistics is an excellent and respected qualification for careers in the Australian Bureau of Statistics, the Department of Agriculture, and in Health Services.

Partnerships, networks and industry links
Research

Mathematicians at UNE are actively engaged in research in several areas of mathematics.

In the area of nonlinear and complex analysis we investigate both pure and applied mathematical problems through analytical as well as topological and algebraic tools. Our research involves national and international collaborations, and has been supported by various national and international competitive grants.

Our research on nonlinear partial differential equations focuses on various important nonlinear models arising from differential geometry and natural sciences such as biology, ecology and quantum mechanics.

In algebraic topology, homotopy theoretical models for manifolds from differential geometry provide a link between geometry and algebra and category theory. As a result, these are being increasingly applied to current research in theoretical physics. 

Specific research topics include:

  • Nonlinear partial differential equations
  • Reaction-diffusion equations
  • Mathematical biology
  • Nonlinear functional analysis
  • Complex analysis
  • CR-Geometry
  • Complex analytic geometry
  • Pseudoholomorphic curves
  • Poincaré duality
  • Applications of algebraic topology to mathematical physics

Our staff are also involved in the Mathematical Analysis and Modelling Research Group.

This group develops theoretical techniques through analytical as well as topological and algebraic tools, and apply the ideas and results obtained in the theoretical investigation to problems arising from a wide range of areas, including various important models in differential geometry and natural sciences (biology, chemistry, ecology, physics and rural sciences). The concrete problems we currently work on include the Chern-Simons model in condensed matter physics, the logistic and related models in population biology, and image reconstruction for diffraction and phase contrast tomography. Important problems in these applied areas serve as a key source of the topics for investigation by the group.

The research undertaken by this group has been supported by several ARC discovery grants and involves intensive collaboration with leading researchers around the world.

Contacts

For further information on Mathematics at UNE, please contact the Discipline Convenor or for postgraduate mathematics enquiries, please contact Dr Adam Harris.