School of Mathematical Sciences Teaching Areas

[Print-friendly version]

Mathematic units taught at QUT can be divided into a number of teaching areas as listed below

• Applied Mathematics
• Computational Mathematics
• Core Mathematics
• Discrete Mathematics
• Financial Mathematics
• Operations Research
• Scientific Computation and Visualisation
• Statistics

Applied Mathematics

In Applied Mathematics mathematical techniques are used to solve real world problems. Mathematical Modelling is the use of mathematical techniques to develop a model or explanation of a real world problem which is then tested to see if it is a good model or if it should be modified. In order to become an applied mathematician a student needs to learn both the mathematical techniques as well as how to develop mathematical models. The School offers a suite of units which enable a student to obtain an excellent background for a career as an applied mathematician.

Computational Mathematics

In Computational Mathematics computers and numerical techniques are used to find solutions to complex problems which cannot be solved analytically. Important aspects of numerical analysis are explored and algorithm development and implementation discussed in detail. Solution methodologies and computer programs are developed for important real-world case studies.

Core Mathematics

In the Core Mathematics units students will learn the basic mathematical tools required for modelling and analysis of problems in science and technology: algebra, analysis and calculus. Algebra includes the study of matrices which are fundamental to many applications, analysis involves the study of functions, and calculus ideas of differentiation and integration.

Discrete Mathematics

The mathematics of numbers, including study of sets, fields, ring and groups. Discrete Mathematics is the mathematics of numbers and involves analysis using integers. It includes the study of sets, logic, combinatorial reasoning, proofs, mathematical structures (i.e. as groups, rings and fields), and boolean algebra. These mathematical structures provide the basis to cryptographic systems used in developing secure means of transmitting electronic data, for instance, to run a secure e-business.

Financial Mathematics

In Financial Mathematics a wide variety of techniques are used in applications within the financial area.

Operations Research

Operations Research (OR) is a professional discipline and is also known as Management Science. It looks at an organisation's operations and uses quantitative, computer or other analytical approaches to find better ways to operate.

Scientific Computation and Visualisation

Scientific Computation and Visualisation techniques involving high performance computing are increasingly being used for research and innovation. Examples include the creation of new pharmaceuticals, exploration for minerals, virtual mining, stress analysis of proposed designs for new plants or vessels, and improved image recognition or analysis. Within this co-major, students bring together skills and knowledge from programming, mathematics and statistics into a practical, problem-solving approach to applications within science and other areas.

Statistics

Statistics is multidisciplinary and involves data collection in an appropriate format, analysis of data and using data to make predictions. Biostatistics involves decision making in health and clinical situations, for example, improving health care by applying statistical quality control or assisting farmers to maximise yield using GPS technology.