This program enables students to undertake advanced courses in mathematics and its applications. Special topics courses enable students to build the necessary background and techniques in pure or applied areas. Advanced level courses introduce students to recent developments in a broad range of modern mathematics, including analysis; algebra and combinatorics; applied mathematics; computational mathematics; and statistics and probability. Students cover modern applications of mathematics in areas such as coding and cryptology; bioinformatics; mathematical physics; mathematical ecology; computational science and visualisation; nonlinear differential equations; and financial mathematics. Students develop mathematical research techniques through projects that provide the opportunity to work within any of the research centres associated with the mathematics department.