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Discipline of Mathematics

Mathematics is the art of analysis, abstraction and application: we analyse observed phenomena and pick out the key concepts that explain them; we abstract these concepts so that we can study their logical relationships to each other; and we apply the understanding this gives us to predict and control our environment.

The concepts we study are of two broad types - arithmetical and geometric - but the most powerful mathematics exploits the interplay between the two. An example of this in the high school curriculum is the analysis of change which we call calculus, where a combination of "geometric" intuition (curve-sketching, tangents and slope) and "arithmetic" calculations (algebra, differentiation and integration) allow us to predict, for example, the path of a space-station orbiting the earth.

Mathematics is an indispensable tool in many disciplines. This includes traditional areas of application such as economics, engineering and physics, but also emerging areas such as biostatistics and robotics. At the University of Newcastle, our research strength is in functional analysis. Our work has applications in signal processing; for example it underpins the technique of digital tv transmission.

The University of Newcastle is an Associate Member of the Australian Mathematical Sciences Institute (AMSI) which is the parent body for the International Centre of Excellence for Education in Mathematics (ICEEM).

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Research

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  • Computer Assisted Research Mathematics and its Applications (CARMA)

    Plans are in progress to establish a new research centre at the University of Newcastle to perform research and development relating to the informed use of computers as an adjunct to mathematical discovery and promote and advise on the use of appropriate tools in academia, education and industry.

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