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  • Probability for InferenceMAST30020

    Offered:Semester 1Year:2019

    This subject introduces a measured-theoretic approach to probability theory and presents its fundamentals concepts and results. Topics covered include: probability spaces and random variables, expectation, conditional expectation and distributions, elements of multivariate distribution theory, m...

  • Foundation Mathematics 1MAST10014

    Offered:Semester 1Year:2019

    This is the first of a sequence of two subjects (Foundation Mathematics 1 and Foundation Mathematics 2) providing BA(Ext) and BSc(Ext) students with a foundation in mathematics that prepares students for the Bachelor of Science and a pathway into the Bachelor of Commerce. The content consists of ...

  • Linear Statistical ModelsMAST30025

    Offered:Semester 1Year:2019

    Linear models are central to the theory and practice of modern statistics. They are used to model a response as a linear combination of explanatory variables and are the most widely used statistical models in practice. Starting with examples from a range of application areas this subject develops...

  • Calculus 1MAST10005

    Offered:Semester 1, Semester 2Year:2019

    This subject extends students' knowledge of functions and calculus and introduces them to the topics of vectors and complex numbers. Students will be introduced to new functions such as the inverse trigonometric functions and learn how to extend the techniques of differentiation to these. Integra...

  • Differential EquationsMAST20030

    Offered:Semester 2Year:2019

    Differential equations arise as common models in the physical, mathematical, biological and engineering sciences. This subject covers linear differential equations, both ordinary and partial, using concepts from linear algebra to provide the general structure of solutions for ordinary differentia...

  • Stochastic ModellingMAST30001

    Offered:Semester 2Year:2019

      Stochastic processes occur in finance as models for asset prices, in telecommunications as models for data traffic, in computational biology as hidden Markov models for gene structure, in chemistry as models for reactions, in manufacturing as models for assembly and inventory processes, in bio...

  • AlgebraMAST30005

    Offered:Semester 1Year:2019

    Algebra has a long history of important applications throughout mathematics, science and engineering, and is also studied for its intrinsic beauty. In this subject we study the algebraic laws satisfied by familiar objects such as integers, polynomials and matrices. This abstraction simplifies and...

  • Calculus 2MAST10006

    Offered:Semester 1, Semester 2Year:2019

    This subject will extend knowledge of calculus from school. Students are introduced to hyperbolic functions and their inverses, the complex exponential and functions of two variables. Techniques of differentiation and integration will be extended to these cases. Students will be exposed to a wide...

  • Discrete Maths and Operations ResearchMAST20018

    Offered:Semester 2Year:2019

    This subject introduces the essential features of Operations Research methods, and also introduces the area of Discrete Mathematics with a focus on applications. Operations Research topics include mathematical modelling, linear programming, simplex methods, and duality theory. Discrete Mathematic...

  • Research Project Part 1MAST90116

    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...

  • Methods of Mathematical StatisticsMAST90105

    Offered:Semester 1Year:2019

    This subject introduces probability and the theory underlying modern statistical inference. Properties of probability are reviewed, univariate and multivariate random variables are introduced, and their properties are developed. It demonstrates that many commonly used statistical procedures arise...

  • Statistical ModellingMAST90084

    Offered:Semester 1Year:2019

    Statistical models are central to applications of statistics and their development motivates new statistical theories and methodologies. Commencing with a review of linear and generalized linear models, analysis of variance and experimental design, the theory of linear mixed models is developed a...

  • Data Science Research Project Pt2MAST90109

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

    In this subject, students undertake a substantial research program in the area of Data Science. The research will be conducted under the supervision of a member of the School of Mathematics and Statistics or the Computing and Information Systems academic staff. The results will be reported in the...

  • Research ProjectMAST90042

    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...

  • Advanced Environmental ComputationMAST90128

    Offered:Semester 2Year:2019

    Fitting models to data is a fundamental component of computational biology. In this subject we teach statistical and machine learning approaches, including methods specifically developed for handling spatial data. The subject will give you understanding of, and practice in, a range of modern tech...

  • Computational Statistics & Data ScienceMAST90083

    Offered:Semester 2Year:2019

    Computing techniques and data mining methods are indispensable in modern statistical research and data science applications, where “Big Data” problems are often involved. This subject will introduce a number of recently developed methods and applications in computational statistics and data scien...

  • Network OptimisationMAST90013

    Offered:Semester 2Year:2019

    Many practical problems in management, operations research, telecommunication and computer networking can be modelled as optimisation problems on networks. Here the underlying structure is a graph. This subject is an introduction to optimisation problems on networks with a focus on theoretical re...

  • Systems Modelling and SimulationMAST90045

    Offered:Semester 1Year:2019

    Modern science and business makes extensive use of computers for simulation, because complex real-world systems often cannot be analysed exactly, but can be simulated. Using simulation we can perform virtual experiments with the system, to see how it responds when we change parameters, which thus...

  • GeometryMAST30024

    Offered:Semester 2Year:2019

    This subject introduces three areas of geometry that play a key role in many branches of mathematics and physics. In differential geometry, calculus and the concept of curvature will be used to study the shape of curves and surfaces. In topology, geometric properties that are unchanged by continu...

  • Minor Research Project Part BMAST90074

    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...