If you are an Advanced Mathematics or Advanced Science student, then Honours is built into your program. For all other students, if you are keen on Mathematics and have achieved good results in years 1 to 3, you should consider embarking on an Honours year.
Below you can find some specific information about Applied Mathematics Honours.
For other information about doing Honours in Applied Mathematics, see the Honours Page.
Honours Coordinator  Applied
Dr Amandine Schaeffer
Email: a.schaeffer@unsw.edu.au
Phone: 9385 1679
Office: Room 4102, Red Centre (Centre Wing), UNSW
If you have any questions about the Honours year, don't hesitate to contact the Honours Coordinator. In particular, if you are just starting third year and vaguely thinking ahead to Honours, then it is important to choose a sufficiently wide variety of third year courses. Please see the Honours Coordinator to discuss your choice of courses.
Suggested Honours Topics
The following are suggestions for possible supervisors and Honours projects in Applied Mathematics. Other projects are possible, and you should contact any potential supervisors to discuss your options.
Biomathematics
 Models of cell division in bacteria and archaea.
 Please contact Dr Cai directly (a.cai@unsw.edu.au) for potential honours projects.
 The Insulin Signalling Pathway in Adipocytes  A Mathematical Investigation
 Do glucose transporters queue to get to the cell surface?
 Modelling Myelinated Nerve Function
 Lagrangian coherent structures in haemodynamics (blood flow)
Computational Mathematics
 Highdimensional numerical integration with applications to Bayesian statistics
 Monte Carlo splitting method for integrals with quasimonotone integrands
 Dynamical kernel methods for big data
 The theoretical development and/or practical application of QuasiMonte Carlo methods
 Approximate cloaking simulation
 Analysis of changing data and applications
 Hierarchical Matrices.
 Approximating the fractional powers of an elliptical differential operator
 Localization of eigenfunctions

The role of the LandauLifshitzGilbert equation in the theory of novel magnetic memories.
 Problems in random domains
 Boundary element methods
Mathematics Education
 Digital resources in Mathematics: What makes them effective for learning?
 Mathematical learning communities
 Peer to peer support for Mathematics students
 Learning Mathematics on the move via mobile devices
Nonlinear Phenomena
 Random walks and fractional calculus
 Topics in dynamical systems and ergodic theory
 Transfer operator analysis with applications to fluid mixing
 Extreme value statistics for chaotic systems
 Positivity, Monotonicity, and Convexity Results for Discrete Fractional Operators
 Algebraic dynamics
 Discrete integrable systems
 Topics in Soliton Theory
 Advanced Studies in differential equations
 A Deeper Understanding of Discrete and Continuous Systems Through Analysis on Time Scales
 Advanced Studies in Nonlinear Difference Equations
Optimisation
 Topics in Integer Programming and Combinatorial Optimisation
 Stochastic Integer Programming
 Nonlinear and mixed integer optimization with application to radiotherapy
 Optimising fluid mixing
 Multoobjective optimization under data uncertainty
 Robust optimisation and data mining
 Semialgebraic geometry and polynomial optimisation
 Semialgebraic optimization and diffusion tensor imaging
 Rank optimisation problem
 Optimisation approaches for tensor eigenvalue problems: modern techniques for multirelational data analysis
 Nonconvex polynomial optimisation
 Higherorder Voronoi cells
 Hyperbolicity cones
Fluid Dynamics, Oceanography and Meteorology
 Lagrangian Coherent Structures in Ocean and Atmosphere Models
 New constraints on largescale tropospheric transport from global tracegas measurements
 Ocean biogeochemistry
 Construction of matrix models for geophysical flows
 Turbulence modelling
 Simulating fractal curves in turbulent fluid flows
 Investigating transport pathways in the ocean with Lagrangian Coherent Structures
 Submesoscale ocean dynamics
 Ocean mixing and the absolute velocity in the ocean
 Forming the integrating factor for neutral density in the ocean
 The role of tides in the modulating heat in the East Australian Current (with Colette Kerry)
 Cold spells in the East Australian Current (with Michael Hemming)
 Trends in bottom temperatures in the East Australian Current (with Neil Malan)
 Dynamics of a marine heatwave: what happens below the surface?
 Exploring the theory of NavierStokes equations and their applications to fluid flow
 Distilling the ocean's role in climate using thermodynamic diagrams
 Linking the seasonal cycle of ocean water masses to transient climate change
 Asymmetry of the ocean's thermohaline circulation