GENERAL ALGEBRA

MAT4GA

2020

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 introduction to important recent developments. The close relationship between general algebra and lattice theory will be emphasised throughout.

School: Engineering and Mathematical Sciences (Pre 2022)

Credit points: 15

Subject Co-ordinator: Tomasz Kowalski

Available to Study Abroad/Exchange Students: Yes

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

Exchange Students: No

Available as Elective: No

Learning Activities: N/A

Capstone subject: No

Subject particulars

Subject rules

Prerequisites: MAT3DS and requires co-ordinators approval

Co-requisites: N/A

Incompatible subjects: N/A

Equivalent subjects: N/A

Quota Management Strategy: N/A

Quota-conditions or rules: N/A

Special conditions: Offered subject to sufficient enrolments.

Minimum credit point requirement: N/A

Assumed knowledge: N/A

Career Ready

Career-focused: No

Work-based learning: No

Self sourced or Uni sourced: N/A

Entire subject or partial subject: N/A

Total hours/days required: N/A

Location of WBL activity (region): N/A

WBL addtional requirements: N/A

Graduate capabilities & intended learning outcomes

Graduate Capabilities

Intended Learning Outcomes

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

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

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

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

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

Melbourne (Bundoora), 2020, Semester 2, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Enrolment information: N/A

Subject Instance Co-ordinator: Tomasz Kowalski

Class requirements

LectureWeek: 31 - 43
Two 1.00 hour lecture per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.
Requires extensive preparation for class presentations.

Assessments

Assessment element	Comments	Category	Contribution	Hurdle	%	ILO*
Four assignments each equivalent to 1000 words	N/A	N/A	N/A	No	70	SILO1, SILO2, SILO3, SILO4, SILO5
Take home exam equivalent to 2000 words	N/A	N/A	N/A	No	30	SILO1, SILO2, SILO3, SILO4, SILO5