Mathematics
Contents
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 internally, by attending lectures and tutorials on campus, or externally, with all course material provided. Residential schools are provided for external 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.
Internal 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 internally or externally, 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. Off-campus 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
Mathematics is available in a variety of programmes leading to formal qualifications.
Undergraduate
Advanced Diploma in The Sciences
Bachelor of Arts
Bachelor of Computer Science
Bachelor of Education
Bachelor of Arts/Bachelor of Science
Bachelor of Mathematics/Bachelor of Teaching
Bachelor of Science
Bachelor of Science/Bachelor of Laws
Diploma in The Sciences
Bachelor honours
Bachelor of Arts with Honours
Bachelor of Science with Honours
Postgraduate
Graduate Diploma in Science
Master of Education
Master of Scientific Studies
Postgraduate research
Doctor of Philosophy
Master of Science
Units
Year 1
AMTH140 Discrete Mathematics
MATH101 Algebra and Differential Calculus
MATH102 Integral Calculus, Differential Equations and Introductory Statistics
MATH120 Introductory Mathematical Methods in Science and Economics
MATH123 Foundation Mathematics
Year 2
AMTH250 Introduction to Scientific Computation
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 and Post-Graduate
Algebraic Topology
Category Theory
Differential Equations
Functional Analysis
Homological Algebra
Lie Algebra
Riemannian Geometry
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.
Those who intend to pursue a career in teaching have two main choices, a Bachelor of Science followed by a Diploma of Education, or the Bachelor of Mathematics/Bachelor of Teaching degree, taught in conjunction with the School of Education. The former is more flexible in the range of units available and alternative career prospects, while the latter combines the study of mathematics and statistics with teacher training.
Partnerships, networks and industry links
The University of New England is an Associate Member of the Australian Mathematical Sciences Institute.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
Recent major grants:
- Y. Du, E.N. Dancer and S. Yan, Sharp Transitions in Partial Differential Equations and Related Problems, ARC discovery grant, 2007-2009, $240,000.
- Y. Du and E.N. Dancer, Free Boundary Problems in Partial Differential Equations and Related Topics, ARC discovery grant, 2003-2006, $158,000.
- V. Ejov, G. Schmalz and A Spiro, Normal forms and Chern-Moser Connection in the Study of Cauchy-Riemann Manifolds, ARC discovery grant, 2003-2006, $165,000.
Meetings organised by Mathematicians from UNE:
- Partial Differential Equations, special session of 7th Australia – New Zealand Mathematics Convention, December 8–12, 2008, Christchurch, New Zealand.
- Recent progress on nonlinear elliptic and parabolic problems and related abstract methods, October 7-12, 2007, Banff International Research Station, Canada.
- The 8th International Conference on Several Complex Variables, 2-5 July 2007, Gyeong-Ju, Korea.
- The second Japanese-Australian Workshop on Real and Complex Singularities, Nov. 26-29, 2007, RIMS, Kyoto Univ., Japan.
- Recent Advances in Nonlinear Partial Differential Equations: A celebration of Norman Dancer's 60th birthday, 16-21 July, 2006, University of New England (Armidale), Australia.
Contacts
Dr Gerd Schmalz
Convenor of Mathematics
Email: gerd@turing.une.edu.au
Phone: +61 2 6773 3182
Dr Adam Harris
Postgraduate Coordinator
Email: adamh@turing.une.edu.au
Phone: +61 2 6773 2210
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