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.
Further unit of study information
Three 1 hour lectures, one 1 hour tutorial and one 1 hour practice class per week.
2 hour examination, quizzes, assignments (100%)
Faculty/department permission required?
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)
MATH2908 or MATH2918 or MATH2008
Study this unit outside a degree
If you wish to undertake one or more units of study (subjects) for your own interest but not towards a degree, you may enrol in single units as a non-award student.
If you are from another Australian tertiary institution you may be permitted to underake cross-institutional study in one or more units of study at the University of Sydney.