**Corequisite majors:** Mathematics; Mathematical Economics; Mathematical Finance; Mathematical Modelling or; Quantitative Biology

Mathematics is the study of universal patterns and structures; it is the quantitative language of the world; it underpins information technology, computer science, engineering, and the physical sciences; and it plays an increasingly important role in the biological and medical sciences, economics, finance, environmental science, sociology and psychology.

The Mathematics and the Mathematical Modelling majors are designed to provide a foundation in Calculus, Linear Algebra and basic modelling techniques through the course in differential equations, which then lead onto a broad choice of mathematics courses in later years.

The Advanced Mathematics specialisation is an extension of these majors, ensuring that students undertake the foundational courses in analysis and abstract algebra, and later year advanced courses which form the basis for research in mathematics, in both the applied and pure mathematics. Successful completion of this specialisation, along with the co-requisite majors provides the basis for progression onto Honours in mathematics.** **

## Learning Outcomes

Demonstrate mastery of the concepts and techniques of Analysis.

Demonstrate mastery of the concepts and techniques of Abstract Algebra.

Identify the mathematics required to solve applied problems. Solve non-routine mathematical problems by translating ideas into a precise mathematical formulation.

Think clearly, sequentially and logically, as demonstrated by the critical analysis of quantitative problems, such as the ability to Read, understand and write mathematical proofs.

Appreciate that mathematics is embedded in everyday life through its influence in fields, such as the physical, biological, medical, social and economical sciences.

Demonstrate awareness of the many branches of mathematics and of the interconnections among them.

Demonstrate a deeper understanding of a branch of advanced mathematics.

Draw on discipline based experiences of working collaboratively, communicating mathematical knowledge and acting professionally and responsibility in further study, or professional pursuits.

Recognise the importance of continuing professional development and be able to extend knowledge of mathematics through independent reading and learning.

## Other Information

Students should seek further course advice from the academic convener of the Advanced Mathematics specialisation.

A specialisation in Advanced Mathematics must be taken in conjunction with either a Mathematics Major, a Mathematical Modelling Major, a Mathematical Finance Major or a Mathematical Economics Major or a Quantitative Biology Major.

Back to the top## Requirements

This specialisation requires the completion of 24 units, which must include:

12 units from the completion of the following compulsory courses:

MATH2320 - Advanced Analysis 1: Metric Spaces and Applications (6 units)

MATH2322 - Advanced Algebra 1: Groups, Rings and Linear Algebra (6 units)

12 units from the completion of 3000 level Mathematics (MATH) courses

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