The Mathematics Department offers both full-time and part-time honours programs leading to the degrees of BA(Hons) or BSc(Hons) in mathematics.
Why Honours?
The mathematics honours course at Macquarie is designed to give training to undergraduates in the major areas of modern mathematics. Students are able to study topics in more depth than is possible in the ordinary degree course. The emphasis is on providing a firm basis for possible further study either at the postgraduate level or independently. We are also seeking to produce a well-rounded graduate in mathematics who can converse intelligently with other mathematicians on most topics arising in modern mathematics. There is also evidence that an honours degree enhances a graduates career prospects in many areas of business and industry. An honours degree also makes easier the possible study for a higher degree at a later date. A good honours degree is the basic requirement for admission to a postgraduate research program in mathematics and related subjects. The honours program will allow a student to assess the prospects for proceeding to a higher research degree.
Entry Requirements
The normal entry requirements are currently at least four of the units MATH300 Geometry and Topology, MATH334 Mathematics III Advanced, MATH335 Mathematical Methods, MATH336 Differential Equations, MATH337 Algebra IIIA MATH338 Algebra IIIB and MATH339 Real and Functional Analysis, or their equivalents elsewhere.
Candidates must normally have obtained a grade-point average of at least 2.5 in 300-level mathematics units and an overall grade-point average of at least 2.5.
It is recommended that any students considering honours include the units MATH335, MATH337, MATH338, MATH339 and two of the units MATH300, MATH334, MATH336.
Honours Program
The full-time course takes one year and the part-time course takes two years. For both programs the coursework requirements are that students take six half-year units. For the full-time program the student will take three units in each half year. For the part-time program the student will take two units in each of the first three half-years and devote the final semester to the honours essay. The honours program usually commences in February but it may be possible for some programs to commence at mid-year. In addition to the coursework units, an honours student will write an honours essay which will contribute the equivalent of 30% the final grade of honours. The essay topic will be chosen in consultation with a member of the mathematics staff who has agreed to supervise the student. The choice of topic is usually confirmed early in the first half-year and the student will have consulted members of the mathematics staff before settling on a final choice of topic. The deadline for submission of essays is towards the end of October. Students will give an oral presentation on their essay which is assessed and counts for 5% towards the final grade.
Coursework Units
Four coursework units, two per semester, comprise a core of the honours program; these are:
Analysis |
Algebra |
Topology |
Number Theory |
In both semesters a third unit is offered. These units may vary from year-to-year and often contain topics which are applications of the core units. Some typical recent examples are:
Distributions and Partial Differential Equations |
Lie Groups |
Mathematics of Quantum Mechanics |
Fourier Theory |
Mathematical Control Theory |
Differential Equations in Banach Spaces |
Clifford Analysis |
Each coursework unit involves three class contact hours per week. Some of these units may be offered as a reading course in the case of small enrolments.
Assesment may vary but usually is based on assignments and take-home-exams.
Grades of honours
Honours are awarded with the following grades:
which are based on the average percentage marks achieved in all components.
The lower cut-offs for each grade of honours are:
First Class |
85% |
Upper Second Class |
70% |
Lower Second Class |
60% |
Third Class |
50% |
Very occasionally, a candidate will not satisfy the requirements for award of any grade of honours. This is often the case where no thesis has been submitted or the thesis has been assessed as unsatisfactory.
Normally to be considered for an Australian Post-Graduate Award (APA) a candidate must have been awarded a grade of First Class Honours.
Admission to Honours
Prospective candidates for honours should contact the Mathematics Honours convenor:
Dr Bon Clarke |
E-mail: bon@maths.mq.edu.au |
Mathematics Department |
Ph: (02) 9850 8919 |
Division of Information and Communication Sciences |
Facs: (02) 9850 8114 |
Macquarie University NSW 2109 |
|
AUSTRALIA |
|
Application forms may be obtained by contacting:
Ms Marilyn Orr |
E-mail: morr@remus.reg.mq.edu.au |
Admissions and Student Records |
Ph: (02) 850 7273 |
Registrar's Office |
|
Macquarie University NSW 2109 |
|
Applications for 2003 close on 31 October 2002.
Scholarships
There are a limited numbers of scholarships available for exceptional students to study during an honours year. Details of these scholarships can be obtained from
Dr Christopher Cooper |
E-mail: chris@ics.mq.edu.au |
Wallent Scholarship Administrator |
Ph: 9850 8920 |
Mathematics Department |
Facs: 9850 8114 |
Macquarie University NSW 2109 |
|
Some Recent Honours Essays
2001 |
Gabriel Abramowitz |
Connections and General Relativity |
2000 |
Oldrich Klima |
The Calderon-Zygmund Theory of Singular Integrals |
2000 |
Mark White |
Pohozaev's Identity and Uniqueness for Elliptic Equations and Systems |
1999 |
Samantha Higgins |
An Introduction to Nonco-operative Game Theory |
1999 |
Alana Flentje |
Mathematical logic: Classical v. Quantum v. Intuitionistic |
1998 |
Amy Young |
Trace Monoidal Categories |
1998 |
Nicole Sharp |
Elementary Integrals and Differential Galois Theory |
1999 |
Dilshara Abayasekara |
Species of Structures |
1999 |
Edwin El-Mahassni |
The NTRU Cryptosystem |
1997 |
Daniel O'Neill |
Estimation and Control of Linear Stochastic Systems |
1997 |
Jarrod Bayl |
Elliptic Curves of High rank |
1996 |
Oded Rotem |
Quadratic Forms and Quadratic Fields |
1996 |
Mark Weber |
A Mathematical Analogy (Grothendieck Topos Theory) |
1996 |
Frances Griffin |
Symmetry and Inflation properties of Penrose Tilings |
1996 |
Stephen Keith |
The Holomorphic Functional Calculi of Unbounded Operators With Polynomially Bounded Resolvent |
Staff in Mathematics
Professor |
BSc PhD Syd., FAA, FAustMS | |
Associate Professors |
BSc PhD Lond. ARCS, DIC, FAustMS | |
|
BSc PhD Adel. | |
Senior Lecturers |
Ron J. Andrews |
BA DipEd Syd., MA |
|
BSc Wales, PhD Lond., DIC | |
|
MSc Syd., PhD Lond. | |
|
Xuan Thinh Duong |
BSc Saigon, PhD Macq. |
|
BSc MSc Flinders, PhD Univ. of Washington | |
|
MSc Melb., PhD Oxon. | |
|
Gerry Myerson |
AB Harvard, MSc Stanford, PhD Mich. |
Lecturers |
Susumu Okada |
PhD Flinders |
|
Rod I. Yager (Head of Department) |
BSc Syd., PhD ANU |
Honorary Associates |
Brian J. Day |
MSc Syd., PhD NSW |
|
George Ivanov |
BA PhD ANU |
Research Fellows |
Michael Batanin (Scott Russell Johnson Memorial Fellow) |
BSc PhD Novosibirsk |
|
Alexei Davydov |
BSc PhD Moscow |
|
Lixin Yan |
BA Jilin, MSc PhD Zhongshan |
Areas of Research
The major research interests in the mathematics discipline are in Number Theory, Functional Analysis and Partial Differential Equations, Category Theory, Harmonic Analysis, and Mathematical Physics.
The following is a list of the main areas of research and available research supervisors:
Functional Analysis, Harmonic Analysis, Partial Differential Equations
Dr Bonnington M. N. Clarke: Control problems for hyperbolic partial differential equations, boundary controllability and observability, hyperbolic differential-boundary systems.
Dr Christopher Meaney: Harmonic analysis on Lie groups and symmetric spaces.
Dr Xuan T Duong: Singular integrals, functional calculi, Hardy spaces and partial differential equations.
Dr Lixin Yan: Singular integrals, function spaces, Clifford analysis.
Number Theory and its Applications
Associate Professor William W. L. Chen: Irregularities of distribution.
Dr Gerry Myerson: Constant line-sum matrices as linear combinations of permutation matrices, covering systems of congruences in higher dimensions, divisibility properties of special sequences, investigation of the distribution of sequences, in particular, sequences as far as possible from uniformly distributed.
Dr Rodney I. Yager: Algebraic number theory, arithmetic of abelian varieties, elliptic curves of large rank, L-functions.
Category Theory
Professor Michael S. J. Johnson: Category theory. Applications of category theory to computer science, homotopy theory and universal algebra.
Professor Ross H. Street: Coherence in category theory, enriched categories, geometric representations of higher-dimensional algebraic structures, quantum groups, geometry of tensor calculus, structure of categories of modules over a ring, generalised group and Galois theory.
Dr Michael Batanin: Higher-dimensional category theory, algebraic topology.
Dr Alexei Davydov: Monoidal categories, categories of representations of finite groups, K-theory.
Algebra
Dr Christopher D. H. Cooper: Group theory, module invariants for knots.
Mathematical Physics
Associate Professor John V. Corbett: Applications of sheaf theory to the foundations of quantum mechanics, Multipartite non-Schmidt decomposable systems and information transfer, scattering theory and group representations, quantisation of fields in curved space-time.
Algebraic Geometry
Dr Ross R. Moore: Electronic presentation and publishing of mathematics; TeX, pdf-TeX, LaTeX2HTML, Xy-pic; algebraic geometry, patterns of chaos, geo-mathematical modelling.