AMSI Summer School 2010 Courses
This year, the AMSI Summer School consists of seven 4 week courses. When you register, you will be asked to choose one or two courses.
Note that for timetabling reasons, not all combinations are possible. Of the 21 pairs of courses, there are three incompatible pairs as indicated under each course.
Guidelines for students
Important information including subject credits, assessment, special consideration, equality and access is available from the guidelines for Summer School students web page.
Course information
General information, prerequisites, and course materials can be obtained by clicking the course titles below.
Note: Currently not all course materials are available.
Maria Athanassenas
Maria.Athanassenas@sci.monash.edu.au
Some of the elegant and intriguing properties of Minimal Surfaces can be demonstrated in soap film experiments. We will study basic material from differential geometry and calculus of variations, and some more advanced results from elliptic partial differential equations with minimal surfaces as the Leitmotiv.
Incompatible course: Nonparametric curve estimation |
Conrad Burden
Conrad.Burden@anu.edu.au
Bioinformatics is a rapidly growing interdisciplinary field concerned with the use of computational methods to solve biological problems related to DNA and amino acid sequence information. The course will cover the mathematical theory behind some of the algorithms commonly used by biologists and also give examples of current research.
Incompatible course: Geometry and group actions |
Grant Cairns
G.Cairns@latrobe.edu.au
We'll start with some classical geometries (Euclidean, inversive, hyperbolic, Minkowskian). We'll then look at group actions, use them to generate some group theoretic notions, and then return to play with geometry again.
Incompatible course: Applications of mathematics and statistics to bioinformatics |
Aurore Delaigle
A.Delaigle@ms.unimelb.edu.au
Estimation of a curve from data is often achieved by assuming that the curve is known up to the value of some coefficients (for example, it is a straight line, but we need to estimate the coefficients of the line). Nonparametric methods are flexible techniques which enable us to construct good estimators of a curve without assuming that it has a specified shape (the shape is entirely driven by the data). This course provides an introduction to popular techniques such as spline and kernel methods.
Incompatible course: Soap films - Minimal surfaces and partial differential equations |
Markus Hegland
Markus.Hegland@anu.edu.au
The course will provide an introduction to the numerical solution of linear elliptic and parabolic partial differential equations. Topics covered include finite elements, problems with constraints, time and space discretisation and in the last week modern wavelet-based solution techniques.
Incompatible course: Computational complexity |
Marcel Jackson
M.G.Jackson@latrobe.edu.au
This subject introduces the theoretical foundations of computational complexity and uses it to classify the complexity of natural, important or interesting problems in discrete mathematics. Amongst the topics considered are the P=NP problem and its many siblings, the intractability of problems in graph theory, as well as the algorithmic undecidability of an assortment of problems from algebra (including linear algebra) and tilings.
Incompatible course: Introduction to the numerical approximation of partial differential equations |
Marty Ross
MartiniRossi@gmail.com
The course will be a reasonably standard introduction to measure theory and integration.
There will be some emphasis upon geometric aspects, including Hausdorff measure and his friends.
Incompatible course: None (can be taken with any course). |
