GENERAL ALGEBRA
MAT4GA
2017
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
- Related graduate capabilities and elements:
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research)
- Personal and Professional Skills(Autonomy and independence,Adaptability Skills,Study and Learning Skills)
- Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)
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
- Related graduate capabilities and elements:
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research)
- Personal and Professional Skills(Autonomy and independence,Adaptability Skills,Study and Learning Skills)
- Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)
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
- Related graduate capabilities and elements:
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research)
- Personal and Professional Skills(Autonomy and independence,Adaptability Skills,Study and Learning Skills)
- Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)
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
- Related graduate capabilities and elements:
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research)
- Personal and Professional Skills(Autonomy and independence,Adaptability Skills,Study and Learning Skills)
- Personal and Professional Skills(Autonomy and independence,Adaptability Skills,Study and Learning Skills)
- Personal and Professional Skills(Autonomy and independence,Adaptability Skills,Study and Learning Skills)
- Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)
05. Demonstrate autonomy, well-developed judgement, adaptability and responsibility as a mathematician.
- Activities:
- Class discussions and assignment work, class presentations
- Related graduate capabilities and elements:
- Literacies and Communication Skills(Writing,Speaking,Quantitative Literacy,Cultural Literacy)
- Personal and Professional Skills(Autonomy and independence,Adaptability Skills,Study and Learning Skills)
- Personal and Professional Skills(Autonomy and independence,Adaptability Skills,Study and Learning Skills)
- Personal and Professional Skills(Autonomy and independence,Adaptability Skills,Study and Learning Skills)
- Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)
Melbourne, 2017, Semester 1, Day
Overview
Online enrolment: No
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 element | Comments | % | ILO* |
|---|---|---|---|
| Four assignments each equivalent to 500 words | 70 | 01, 02, 03, 04, 05 | |
| Take home exam | 30 |