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  • Elements of ProbabilityMAST90057

    Offered:Semester 1Year:2019

    Randomness is inherent in biological data and the analysis of data arising in both Bioinformatics and Biostatistics requires knowledge of sophisticated probability models and statistical techniques. This subject develops the underlying probability theory that is necessary to understand these mode...

  • Research Project Part 3MAST90118

    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 BMAST90076

    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...

  • Optimisation for IndustryMAST90014

    Offered:Semester 1Year:2019

    The use of mathematical optimisation is widespread in business, where it is a key analytical tool for managing and planning business operations. It is also required in many industrial processes and is useful to government and community organizations. This subject will expose students to operation...

  • Bayesian Statistical LearningMAST90125

    Offered:Semester 2Year:2019

    Bayesian inference treats all unknowns as random variables, and the core task is to update the probability distribution for each unknown as new data is observed. After introducing Bayes’ Theorem to transform prior probabilities into posterior probabilities, the first part of this subject introduc...

  • Data and Decision MakingMAST90072

    Offered:Semester 1Year:2019

    The basis for decision making in biotechnology is often the analysis of data. In order for these decisions to be reliable data must be correctly collected and analysed. To control costs data should be efficiently collected and it needs to be properly stored and managed. The interpretation of an a...

  • Scheduling and OptimisationMAST90050

    Offered:Semester 2Year:2019

    Scheduling is critical to manufacturing, mining, and logistics, and is of increasing importance in healthcare and service industries. Most automated systems, ranging from elevators to industrial robots, embed some kind of scheduling algorithms. Building on the Optimisation background provided in ...

  • Representation TheoryMAST90017

    Offered:Semester 2Year:2019

      Symmetries arise in mathematics as groups and Representation Theory is the study of groups via their actions on vector spaces. It has important applications in many fields: physics, chemistry, economics, biology and others. This subject will provide the basic tools for studying actions on vect...

  • Continuum MechanicsMAST90113

    Offered:Semester 2Year:2019

    This subject develops mathematical methods for the study of the mechanics of fluids and solids and illustrates their use in several contexts. Topics covered include Newtonian fluids at low and at high Reynolds number and the linear theory of elasticity. Applications may be drawn from biological, ...

  • Differential Topology and GeometryMAST90029

    Offered:Semester 1Year:2019

    This subject extends the methods of calculus and linear algebra to study the geometry and topology of higher dimensional spaces. The ideas introduced are of great importance throughout mathematics, physics and engineering. This subject will cover basic material on the differential topology of man...

  • Riemann Surfaces and Complex AnalysisMAST90056

    Offered:Semester 2Year:2019

    Riemann surfaces arise from complex analysis. They are central in mathematics, appearing in seemingly diverse areas such as differential and algebraic geometry, number theory, integrable systems, statistical mechanics and string theory. The first part of the subject studies complex analysis. It ...

  • Applied Data ScienceMAST30034

    Offered:Semester 2Year:2019

    AIMS This capstone subject for the Data Science major combines statistical reasoning and practical computing skills to solve challenging problems with big data.   INDICATIVE CONTENT Students will learn about communication of quantitative information and insights; presentation skills; report w...

  • Accelerated Mathematics 2MAST10009

    Offered:Semester 2Year:2019

    This subject develops fundamental concepts and principles in mathematical analysis. Students should gain skills in the practical techniques of differential calculus, integral calculus and infinite series, and study selected applications of these techniques in mathematical modelling. Topics cover...

  • Vector CalculusMAST20009

    Offered:Semester 1, Semester 2Year:2019

    This subject studies the fundamental concepts of functions of several variables and vector calculus. It develops the manipulation of partial derivatives and vector differential operators. The gradient vector is used to obtain constrained extrema of functions of several variables. Line, surface an...

  • Magic, Music, and MathematicsMAST10020

    Offered:Semester 2Year:2019

    Mathematics appears all around us in the world. While the uses of mathematics in areas such as finance, engineering and science are well known, it is less obvious how mathematical concepts and structures arise in entertainment, the arts and indeed in almost every field of human endeavour. In this...

  • Introduction to MathematicsMAST10012

    Offered:Summer Term, Semester 1Year:2019

    Students will strengthen and develop algebraic and conceptual skills, building a firm mathematical base for MAST10005 Calculus 1. Fundamental concepts about number systems and set theory will be followed by introductory counting principles and techniques. These will be applied to the laws of prob...

  • ProbabilityMAST20004

    Offered:Semester 1, Semester 2Year:2019

    This subject offers a thorough grounding in the basic concepts of mathematical probability and probabilistic modelling. Topics covered include random experiments and sample spaces, probability axioms and theorems, discrete and continuous random variables/distributions (including measures of locat...

  • Techniques in Operations ResearchMAST30013

    Offered:Semester 1Year:2019

    This subject introduces some major techniques and algorithms for solving nonlinear optimisation problems. Unconstrained and constrained systems will be considered, for both convex and non-convex problems. The methods covered include: interval search techniques, Newton and quasi-Newton methods, pe...

  • Critical Thinking with AnalyticsMAST90130

    Offered:Term 1, Term 3Year:2019

    Introduction to the principles and practice of dealing with data, including measurement scales, data organisation, summaries, study design and inference. Students will learn how to think critically about the use of data in the public and private sectors, and appraise how results and analyses are ...

  • 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...