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Current 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.

BIOMATHEMATICS


  • 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
OPTIMISATION


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

  • 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
Timetables

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.