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  • 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,...

  • 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...

  • 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...

  • 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...

  • Data Science Project Pt2MAST90107

    Offered:Semester 2Year:2019

    This capstone project will provide the culmination of the Master of Data Science degree. It will apply the skills developed during the degree to a practical problem of relevance to science, industry, commerce or society in general. Students will continue to work in their teams established in MULT...

  • Advanced Statistical GenomicsMAST90126

    Offered:Semester 2Year:2019

    The subject will cover statistical analysis of data arising from modern genomics, and their practical application using R and specialist software. RNA-seq, epigenomics and metagenomics assays will be introduced, together with properties of the resulting data, appropriate pre-analyses and advanced...

  • Linear RegressionMAST90102

    Offered:Semester 2Year:2019

    This subject provides the foundation for regression modelling. Topics covered include: the method of least squares; regression models and related statistical inference; flexible nonparametric regression; analysis of covariance to adjust for confounding; multiple regression with matrix algebra; mo...

  • Research Project Part 2MAST90120

    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...

  • Research Project Part 1MAST90119

    Offered:March, 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...

  • AMSI Summer SchoolMAST90079

    Offered:Summer TermYear:2019

    The AMSI Summer School is a four-week program hosted at different Australian universities by the Australian Mathematical Sciences Institute. In 2017 it was held at Sydney University, in 2018 at Monash, and in 2019 at UNSW. This subject will give students the opportunity to attend subjects taught ...

  • Thinking and Reasoning with DataMAST90044

    Offered:Semester 1Year:2019

    What conclusion can be drawn from a pool of data? How can a scientist draw meaningful conclusions while not overreaching? How can modelling help the scientist interpret data? This subject will address these questions by teaching students critical thinking and data analysis skills. After completin...

  • Methods of Mathematical PhysicsMAST30031

    Offered:Semester 2Year:2019

    This subject builds on, and extends earlier, related undergraduate subjects with topics that are useful to applied mathematics, mathematical physics and physics students, as well as pure mathematics students interested in applied mathematics and mathematical physics. These topics include: Specia...

  • Infectious Disease DynamicsMAST90129

    Offered:Semester 2Year:2019

    This subject introduces the fundamental mathematical models used to study infectious diseases at both the epidemiological and within-host scale. The emphasis is on: 1) how models are developed, from conceptualisation through to implementation in software; and 2) how to apply models to questions o...

  • Mathematical Statistical MechanicsMAST90060

    Offered:Semester 1Year:2019

    The goal of statistical mechanics is to describe the behaviour of bulk matter starting from a physical description of the interactions between its microscopic constituents. This subject introduces the Gibbs probability distributions of classical statistical mechanics, the relations to thermodynam...

  • Biological Modelling and SimulationMAST30032

    Offered:Semester 1Year:2019

    This subject introduces the concepts of mathematical and computational modelling of biological systems, and how they are applied to data in order to study the underlying drivers of observed behaviour. The subject emphasises the role of abstraction and simplification of biological systems and requ...

  • Multivariate Statistical TechniquesMAST90085

    Offered:Semester 2Year:2019

    Multivariate statistics concerns the analysis of collections of random variables that has general applications across the sciences and more recently in bioinformatics. It overlaps machine learning and data mining, and leads into functional data analysis. Here random vectors and matrices are intro...

  • Linear AlgebraMAST10007

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

    This subject gives a solid grounding in key areas of modern mathematics needed in science and technology. It develops the concepts of vectors, matrices and the methods of linear algebra. Students should develop the ability to use the methods of linear algebra and gain an appreciation of mathemati...

  • Discrete MathematicsMAST30012

    Offered:Semester 2Year:2019

    This subject is concerned with the study of objects, which are finite in number and typically computable. At a computational level one seeks efficient algorithms and methods for construction and counting of the objects. The main topics to be covered are: enumeration, permutations, designs, finit...