MAT3047

Applied modern algebra

Dr David Wilson

4 points
* Second semester
* 2 hours of lectures and one 1-hour tutorial per week
* Gippsland, Peninsula and distance (even-numbered years only)
* Prerequisites: MAT2016 or GAS2614
* Prohibitions: GAS3612, MAP2021, MAP2032

Objectives The objectives of this subject are for students to develop an understanding of abstract algebraic methods and their application through a study of Boolean algebra and group theory; to advance students' knowledge and understanding of the applicability of group theory to diverse areas, such as crystallography, combinatorics, statistical designs, and communication theory.

Synopsis This subject aims to develop skill in abstract algebra and introduces its diverse application. Boolean algebra and the design and analysis of switching circuits; groups, quotient groups, morphisms and actions of groups; three-dimensional symmetry groups, crystallographic groups; P--lya-Burnside enumeration; introduction to algebraic coding theory; construction and use of latin squares. For distance students, four two-hour expository and discussion classes are available over the semester, to supplement full notes and the textbook.

Assessment Assignment: 30%
* Examination: 70%

Recommended texts

Gilbert WJ Modern algebra with applications Wiley, 1976