GENERAL ALGEBRA

MAT4GA

2019

Credit points: 15

Subject outline

General algebra, otherwise known as universal algebra, provides a theory within which to study the common features of all algebraic systems such as vector spaces, groups, rings, lattices and semigroups. The subject will present all of the basic results in the theory as well as providing an intoduction to important recent developments. The close relationship between general algebra and lattice theory will be emphasised throughout.

School: School Engineering&Mathematical Sciences

Credit points: 15

Subject Co-ordinator: Katherine Seaton

Available to Study Abroad Students: Yes

Subject year level: Year Level 4 - UG/Hons/1st Yr PG

Exchange Students: Yes

Subject particulars

Subject rules

Prerequisites: MAT3DS and requires co-ordinators approval

Co-requisites: N/A

Incompatible subjects: N/A

Equivalent subjects: N/A

Special conditions: Offered subject to sufficient enrolments.

Graduate capabilities & intended learning outcomes

01. Demonstrate advanced theoretical and technical knowledge in General Algebra.

Activities:
Class discussions and assignment work, class presentations

02. Use advanced cognitive and technical skills to select and apply methods to critically analyse, evaluate and interpret tasks relevant to General Algebra

Activities:
Class discussions and assignment work, class presentations

03. Use advanced cognitive and technical skills to analyse, generate and transmit solutions to complex problems relevant to General Algebra.

Activities:
Class discussions and assignment work, class presentations

04. Use advanced communication skills to transmit mathematical knowledge and ideas, in particular those of General Algebra, to others.

Activities:
Class discussions and assignment work, class presentations

05. Demonstrate autonomy, well-developed judgement, adaptability and responsibility as a mathematician.

Activities:
Class discussions and assignment work, class presentations

Melbourne, 2019, Semester 1, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Enrolment information:

Subject Instance Co-ordinator: Katherine Seaton

Class requirements

LectureWeek: 10 - 22
Two 1.0 hours lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
"requires extensive preparation for class presentations"

Assessments

Assessment elementComments%ILO*
Four assignments each equivalent to 1000 words7001, 02, 03, 04, 05
Take home exam equivalent to 2000 words3001, 02, 03, 04, 05