University Course Planner The University of Adelaide Australia

PURE MTH 3007 - Groups and Rings III

Career: Undergraduate
Units: 3
Term: Semester 1
Campus: North Terrace
Contact: Up to 3 hours per week
Available for Non-Award Study: Yes
Pre-Requisite: MATHS 1012
Assumed Knowledge: PURE MTH 2106
Assessment: ongoing assessments 30%, exam 70%
Syllabus:

The algebraic notions of groups and rings are of great interest in their own right, but knowledge and understanding of them is of benefit well beyond the realms of pure algebra. Areas of application include, for example, advanced number theory; cryptography; coding theory; differential, finite and algebraic geometry; algebraic topology; representation theory and harmonic analysis including Fourier series. The theory also has many practical applications including, for example, to the structure of molecules, crystallography and elementary particle physics. Topics covered are: (1) Groups, subgroups, cosets and normal subgroups, homomorphisms and factor groups, products of groups, finitely generated abelian groups, groups acting on sets and the Sylow theorems. (2) Rings, integral domains and fields, polynomials, ideals, factorization in integral domains and unique factorization domains.

Course Fees

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  Commonwealth Supported Student Contribution
Tuition Fees
Units EFTSL Pre-2010 2010 Onwards Domestic International
3 0.125 Band 2 $1,131 Band 2 $1,131 select program select program


Course Outline

A Course Outline which includes Learning Outcomes, Learning Resources, Learning & Teaching for this course may be accessed here


Critical Dates

Term Last Day to Add Online Census Date Last Day to WNF Last Day to WF
Semester 1 Mon 13/03/2017 Fri 31/03/2017 Fri 05/05/2017 Fri 09/06/2017


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
10748 LE01 30 12 28 Feb - 4 Apr Tuesday 2pm - 3pm Physics, 103, Kerr Grant Lecture Theatre
2 Mar - 6 Apr Thursday 10am - 11am Barr Smith South, 534, Forum Lecture Theatre
3 Mar - 7 Apr Friday 12pm - 1pm Barr Smith South, 534, Forum Lecture Theatre
25 Apr - 6 Jun Tuesday 2pm - 3pm Physics, 103, Kerr Grant Lecture Theatre
27 Apr - 8 Jun Thursday 10am - 11am Barr Smith South, 534, Forum Lecture Theatre
28 Apr - 9 Jun Friday 12pm - 1pm Barr Smith South, 534, Forum Lecture Theatre