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Future Students> Undergraduate> Honours> Applied

Honours in Applied Mathematics

If you are keen on Mathematics and have done well in years 1 to 3, you will want to go on to do an honours year.
You will find below some specific information about Applied Mathematics Honours.
For other information about doing Honours in Applied Mathematics, see the Honours Page.

Honours Coordinator

The Coordinator for Applied Mathematics Honours in Semester 1 2010 is A/Prof. Gary Froyland:

Email: g.froyland@unsw.edu.au
Phone: 9385 7050
Office: Room 3065, Red Centre

If you have any questions about the Honours year, don't hesitate to contact Gary. In particular, if you are just starting 3rd year and vaguely thinking ahead to honours, then it is important to choose a sufficiently wide variety of 3rd year courses. Please see Gary to discuss your choice of 3rd year 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.
A description of the offered projects in greater detail is also available.

Dynamics and Stability of Cardiac Pacemaker Cells
The Insulin Signalling Pathway in Adipocytes - A Mathematical Investigation

Mathematical Modelling of Plaque Build Up in Alzheimer's Disease
Pattern Formation with Anomalous Diffusion

Scheduling of Cancer Chemotherapy with Feedback of Information During Treatment
Within Host Dynamics of Emerging Drug Resistant Hepatitis B Virus
The Effects of Contact Network Structure on the Spread of Diseases

COMPUTATIONAL MATHEMATICS

Hierarchical Matrices.

A Posteriori Error Estimates for the Finite-Element Method of Lines for Nonlinear Parabolic Equations
Interpolation on the Sphere by Spherical Splines
Boundary Element Methods

NONLINEAR PHENOMENA

Topics in Dynamical Systems and Ergodic Theory
Transfer Operator Analysis with Applications to Fluid Mixing

Fractional Calculus for Fractals
Random Walks on Discrete Lattices
Statistical Mechanics of Small Particle Systems

Algebraic Dynamics
Discrete Integrable Systems

Advanced Studies in Nonlinear Analysis: Topological Degree
A Deeper Understanding of Discrete and Continuous Systems Through Analysis on Time Scales
Advanced Studies in Nonlinear Difference Equations

Topics in Integer Programming and Combinatorial Optimisation
Stochastic Integer Programming
Polyhedral Analysis of Fundamental Problems

Vaithilingam Jeyakumar

Multi-task Supervised Learning by Convex Optimisation
Robust Optimisation and Data Mining
Semi-algebraic Geometry and Polynomial Optimisation

Scheduling of Cancer Chemotherapy with Feedback of Information During Treatment

Exact Controllability of Dynamical Systems and their Applications

Optimal Placement of Points on Manifolds, for Example Spheres and Tori
Estimation of Constrained Probability Density Functions
Constrained Covariance Matrix Estimation Using Semi-Definite Programming
Computational Methods in Finance

The timetabling for Applied Honours courses is arranged at a meeting RC-4082 Red Centre on Monday 9:am in first week of the Semester. Students are advised to attend this meeting in order to have their preferences noted.