School Of Computer, Data And Mathematical SciencesGroups and SymmetryWestern Sydney University Unit Code: 301376.1
Discipline: MATHEMATICS
Student Contribution Band: 1
Level: 3
Credit Points: 10
Assumed Knowledge
Logic, proof techniques: direct proof, proof by division into cases, proof by contradiction, proof by induction.
Equivalent Units
200193 Abstract Algebra
Prerequisite
200025 Discrete Mathematics
About this Unit
This unit develops abstract algebraic thinking to a higher level. The abstract concepts introduced in the unit, the theory of groups and abstract symmetry, have many applications in science and technology. Symmetry plays a role in many different contexts: in crystals, in visual arts, in music and in architecture, to name a few. Analysing and exploiting the symmetries of a particular problem often is the first step towards finding a practical solution to the problem. Group theory is the study of symmetry. This unit develops the language of groups and techniques to understand the structure of groups.
Courses| 3778.1 | Bachelor of Mathematics | CURRENT |