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.
Three 1 hour lectures, one 1 hour tutorial and one 1 hour practice class per week.
2 hour examination, quizzes, assignments (100%)
9 credit points of Junior Mathematics (advanced level or Credit at normal level) including (MATH1902 or Credit in MATH1002)Prohibitions
MATH2908 or MATH2918 or MATH2008