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  • Advanced ProbabilityMAST90081

    Offered:Semester 1Year:2019

    This subject mostly explores the key concept from Probability Theory: convergence of probability distributions, which is fundamental for Mathematical Statistics and is widely used in other applications. We study in depth the classical method of characteristic functions and discuss alternative app...

  • Experimental Design and Data AnalysisMAST10011

    Offered:Semester 1, Semester 2Year:2019Quotas apply

    This subject provides an understanding of the fundamental concepts of probability and statistics required for experimental design and data analysis in the health sciences. Initially the subject introduces common study designs, random sampling and randomised trials as well as numerical and visual ...

  • Decision MakingMAST30022

    Offered:Semester 2Year:2019

    This subject introduces the essential features of decision-making techniques encountered in operations research, management, industry, business and economics. It shows how to construct formal mathematical models for practical decision-making as encountered in two-person games, multi-objective opt...

  • Measure TheoryMAST90012

    Offered:Semester 1Year:2019

    Measure Theory formalises and generalises the notion of integration. It is fundamental to many areas of mathematics and probability and has applications in other fields such as physics and economics. Students will be introduced to Lebesgue measure and integration, signed measures, the Hahn-Jordan...

  • Research ProjectMAST90048

    Offered:Semester 1, Semester 2Year:2019

    In this subject, students undertake a substantial research program in the area of Mathematics and Statistics. The research will be conducted under the supervision of a member of the Department's academic staff. A list of the research interests of the Department of Mathematics and Statistics is ou...

  • Mathematics for BiomedicineMAST10016

    Offered:Semester 1, Semester 2Year:2019

    This subject will introduce mathematical techniques to illustrate the importance of quantitative modelling in biomedicine. Quantitative models will be explored in a variety of biomedical contexts. Emphasis will be placed on understanding how biological principles can give rise to quantitative mod...

  • Minor Research Project Part 2MAST90115

    Offered:January, JulyYear:2019

    In this subject, students undertake a substantial research program in the area of Mathematics and Statistics. The research will be conducted under the supervision of a member of the Department's academic staff. A list of the research interests of the Department of Mathematics and Statistics is ou...

  • Research Project Part 3MAST90121

    Offered:January, JulyYear:2019

    In this subject, students undertake a substantial research program in the area of Mathematics and Statistics. The research will be conducted under the supervision of a member of the School's academic staff. A list of the research interests of the Department of Mathematics and Statistics is outlin...

  • Mathematical StatisticsMAST90082

    Offered:Semester 1Year:2019

    The theory of statistical inference is important for applied statistics and as a discipline in its own right. After reviewing random samples and related probability techniques including inequalities and convergence concepts the theory of statistical inference is developed. The principles of data ...

  • Exactly Solvable ModelsMAST90065

    Offered:Semester 2Year:2019

    In mathematical physics, a wealth of information comes from the exact, non-perturbative, solution of quantum models in one-dimension and classical models in two-dimensions. This subject is an introduction to this beautiful and deep subject. Yang-Baxter equations, Bethe ansatz and matrix product t...

  • Advanced Discrete MathematicsMAST90030

    Offered:Semester 2Year:2019

    The subject consists of three main topics. The bijective principle with applications to maps, permutations, lattice paths, trees and partitions. Algebraic combinatorics with applications rings, symmetric functions and tableaux. Ordered sets with applications to generating functions and the struct...

  • Enumerative CombinatoricsMAST90031

    Offered:Semester 1Year:2019

    The subject is about the use of generating functions for enumeration of combinatorial structures, including partitions of numbers, partitions of sets, permutations with restricted cycle structure, connected graphs, and other types of graph. The subject covers the solution of recurrence relations,...

  • Introduction to Statistical ComputingMAST90101

    Offered:Semester 1Year:2019

    The aim of this subject is to provide students with the knowledge and skills required to undertake moderate to high level data manipulation and management in preparation for statistical analysis of data typically arising in health and medical research. In particular, students gain experience in d...

  • Statistics for Research WorkersMAST90007

    Offered:Winter TermYear:2019

    This subject is designed to provide students with detailed training in statistical methods as applied to the design and analysis of projects undertaken by postgraduate students, across all disciplines.  

  • Accelerated Mathematics 1MAST10008

    Offered:Semester 1Year:2019

    This subject develops the concepts of vectors, matrices and the methods of linear algebra and introduces students to differentiation and integration of functions of two variables. Students will be exposed to methods of mathematical proof. Little of the material here has been seen at school and th...

  • Group Theory and Linear AlgebraMAST20022

    Offered:Semester 2Year:2019

    This subject introduces the theory of groups, which is at the core of modern algebra, and which has applications in many parts of mathematics, chemistry, computer science and theoretical physics. It also develops the theory of linear algebra, building on material in earlier subjects and providing...

  • Probability for StatisticsMAST20006

    Offered:Semester 1Year:2019

    This subject develops the probability theory that is necessary to understand statistical inference. Properties of probability are reviewed, random variables are introduced, and their properties are developed and illustrated through common univariate probability models. Models for the joint behavi...

  • Engineering MathematicsMAST20029

    Offered:Summer Term, Semester 1, Semester 2Year:2019

    This subject introduces important mathematical methods required in engineering such as manipulating vector differential operators, computing multiple integrals and using integral theorems. A range of ordinary and partial differential equations are solved by a variety of methods and their solution...

  • Research ProjectMAST90046

    Offered:Semester 1, Semester 2Year:2019

    In this subject, students undertake a substantial research program in the area of Mathematics and Statistics. The research will be conducted under the supervision of a member of the Department's academic staff. A list of the research interests of the Department of Mathematics and Statistics is ou...

  • Inference Methods in BiostatisticsMAST90100

    Offered:AprilYear:2019

    This subject provides the foundation theory and methods needed for biostatisticians to apply and critically interpret statistical inference, the science of drawing conclusions from data that are subject to variability. Major topics include review of the key concepts of estimation including sampli...