MAT3047

Applied modern algebra

(SCI)

Dr John Arkinstall

4 points + Second semester + 2 hours of lectures and one 1-hour tutorial per week + Gippsland, Distance + Prerequisites: MAT2016 or MTH2111 + Prohibitions: GAS3612, MAP2021, MAP2032

Synopsis: This subject aims to develop skill in abstract algebra and introduces its diverse applications. Boolean algebra and the design and analysis of switching circuits; groups, quotient groups, morphisms and actions of groups; three-dimensional symmetry groups, crystallographic groups; Pólya-Burnside enumeration; introduction to algebraic coding theory; construction and use of latin squares.

Assessment: Assignment: 30% + Examination: 70%