Algebra (Advanced) (MATH2968)

UNIT OF STUDY

This unit provides an introduction to modern abstract algebra, via linear algebra and group theory. It extends the linear algebra covered in Junior Mathematics and in MATH2961, and proceeds to a classification of linear operators on finite dimensional spaces. Permutation groups are used to introduce and motivate the study of abstract goup theory. Topics covered include actions of groups on sets, subgroups, homomorphisms, quotient groups and the classification of finite abelian groups.

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Further unit of study information

Classes

Three 1 hour lectures, one 1 hour tutorial and one 1 hour practice class per week.

Assessment

2 hour examination, quizzes, assignments (100%)

Faculty/department permission required?

No

Unit of study rules

Prerequisites and assumed knowledge

9 credit points of Junior Mathematics (advanced level or Credit at normal level) including (MATH1902 or Credit in MATH1002)

Prohibitions

MATH2918, MATH2008, MATH2908

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