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Year - 2020

Algebra is one of the broadest fields of mathematics, underlying most aspects of mathematics. It is sometimes considered "the mathematics of symmetry" or the "language of mathematics". In its most general description, algebra includes number theory, algebraic geometry and the classical study of algebraic structures such as rings and groups as well as their representations. Advanced algebra intersects other fields of modern mathematics, for instance via algebraic topology, homological algebra and categorical representation theory; and modern physics, via Lie groups and Lie algebras. You will learn about fundamental concepts of a branch of advanced algebra and its role in modern mathematics and its applications. You will develop problem-solving skills using algebraic techniques applied to diverse situations. Learning an area of pure mathematics means building a mental framework of theoretical concepts, stocking that framework with plentiful examples with which to develop an intuition of what statements are likely to be true, testing the framework with specific calculations, and finally gaining the deep understanding required to create technically sophisticated proofs of general results. The selection of topics is guided by their relevance for current research. Having gained an abstract understanding of symmetry, you will discover the manifestation of algebraic structures everywhere!

Classes

4-5 contact hours/week comprising lectures, and tutorials or seminars

Assessment

tutorial participation (10%), written assignments (40%), final exam (50%)

Assumed knowledge

Familiarity with abstract algebra (e.g., MATH4062 or equivalent) and commutative algebra (e.g., MATH4312 or equivalent). Please consult with the coordinator for further information.

Faculty: Science

Semester 1

24 Feb 2020

Department/School: Mathematics and Statistics Academic Operations

Study Mode: Normal (lecture/lab/tutorial) day

Census Date: 31 Mar 2020

Unit of study level: Postgraduate

Credit points: 6.0

EFTSL: 0.125

Available for study abroad and exchange: Yes

Faculty/department permission required? No

Location

Camperdown

More details

Unit of Study coordinator: Oded Yacobi

HECS Band: 2

Leadership for good starts here

ABN: 15 211 513 464

CRICOS Number: 00026A

TEQSA: PRV12057