Units

This course provides a comprehensive introduction to complex analysis, a cornerstone of higher mathematics with profound applications in engineering, physics, and mathematical sciences. You will explore functions of a complex variable, the…

This course introduces approaches to solving optimisation problems faced by decision makers in today's fast-paced business environment through building computer models to analyse and evaluate decision alternatives. By applying the methods a…

This course introduces modern mathematical modelling approaches using dynamical systems (largely differential equation approaches) that are relevant in many different applications and, in particular, for biological and ecological systems. I…

The course will cover both extensions of univariate techniques such as estimation, hypothesis testing, and techniques unique to the multivariate setting such as the dimension reduction method of principal components analysis. Group structur…

This course builds on the formal proof techniques and technical content of a foundation course in Discrete Mathematics. The knowledge of finite fields and the introduction to error correcting codes and public key cryptosystems will be used…

This course provides essential mathematical background for many subsequent courses in modern applied mathematics, pure mathematics, numerical analysis, statistics and operations research. Its aim is two fold. Firstly, it develops the founda…

This course deals with fundamental concepts and techniques of statistical inference including estimation and tests of simple and composite hypotheses. A brief revision will also be given of some basic topics in probability theory as well as…

This course aims to foster your technical competence by introducing you to the fundamental mathematical procedures (e.g. differentiation) and mathematical objects (e.g. vectors and matrices) required by surveyors and geospatial scientists.…

You will participate in a simulated Work Integrated Learning experience, applying your mathematical and statistical knowledge and skills to solve real-world problems, and will be assessed in a simulated workplace context. A wide variety of…

This course is a 'Work Integrated Learning' experience in which your knowledge and skills will be applied and assessed in a real or simulated workplace context and where feedback from industry and/or community is integral to your experience…

This course provides a broad introduction to statistical techniques and data analysis using statistical packages. It is aimed at students who need a basic background in statistics and its application. Topics areas include: summarising univa…

This course extends the probability and statistics material covered in MATH 2200 Introduction to Probability and Statistics and ONPS2700 Data for Scientific World. In the laboratory sessions, extensive use will be made of appropriate comput…

In this course, you will first gain an overview of linear models, including simple linear regression, multiple linear regression, logistic regression, and model building based on these techniques. You will then be introduced to the concepts…

This course provides you with a working knowledge of forecasting methods. Techniques in univariate forecasting using exponential smoothing, regression methods for time series data, stationary and non-stationary time series models for season…

Modern sports science and technology increasingly require the use of applied statistical and analytical techniques. This course introduces you to the use of statistical analysis in a variety of contexts applicable to sport. The purpose of t…

Effective data visualisation bridges the gap between our data and our audience’s understanding by providing an intuitive, accessible and compelling framework for visual storytelling. During this course, students will learn the theoretical a…

This course focuses on analysing categorical response data in scientific fields. It provides you with an overview of methods used in analysing categorical data also known as data on the nominal scale. Categorical distributions and their pro…

This course will provide you with an introduction to the Bayesian framework in statistics, including the differences between Bayesian approaches and the more standard frequentist approach. It will cover basic single and multi-parameter mode…

Advanced Linear Algebra with Vector Calculus introduces and studies operations and methods that are the fundamental tools of mathematicians and applied scientists. The course introduces Linear Algebra (vector spaces and subspaces, linear in…

The world around us is brimming with structure that consists of discrete entities and relationships between those entities. These structures can be represented as a set of vertices and a set of links that formally define a graph. A complex…

This course provides you with analytics skills appropriate to the aviation industry. This includes statistical techniques, specifically descriptive statistics, inferential statistics, regression and time series analysis. The course also inc…

Machine learning involves automatically identifying patterns in data to suggest future predictions about a task. The explosion of data in different fields, such as health and finance, and in sources such as social media, has made machine le…

Optimisation problems arise in many areas of engineering, science, economic modelling, resource modelling and operations research. These problems can arise via the need to find a best approximation or 'fit' to a set of data or to use finite…

Numerical Techniques introduces and studies fundamental operations and methods that are the tools of mathematicians, statisticians and applied scientists. The course introduces the numerical methods necessary for the determination of the er…

Mathematics for Computing 1 provides a foundation for Computer Science. Many other areas of Computer Science require the ability to work with concepts from discrete structures, which include topics such asset theory, integers, functions, re…

This course will introduce you to fundamental concepts in statistics and data analytics. You will learn data analysis and modelling, starting with descriptive statistics and data visualisation random variables, normal and binomial probabili…

This course will introduce you to fundamental concepts and key topics across the Mathematical Sciences including probability and linear algebra. The course will consider the wider significance and importance of the mathematical sciences acr…

This course will introduce you to the foundations and application of statistics in biological, medical and epidemiological fields. The course will begin with an introduction to summary statistics, data visualisation and probability as a mea…

The course will prepare students for Mathematics for Computing 1 and will include introductions to Discrete Mathematics, including integers, sets, functions and relations, combinatorics, boolean logic, and mathematical proofs. The course wi…

This course aims to provide a broad introduction to single variable calculus, including the differentiation and integration tools needed by mathematicians and most applied scientists. The course builds on the foundations laid in secondary s…