University Course Planner The University of Adelaide Australia

PURE MTH 3007 - Groups and Rings III

Career: Undergraduate
Units: 3
Term: 3810
Campus: North Terrace
Contact: Up to 3 hours per week
Available for Study Abroad and Exchange: Yes
Available for Non-Award Study: Yes
Pre-Requisite: MATHS 1012
Assumed Knowledge: PURE MTH 2106
Assessment: Ongoing assessments, exam
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

Course fees are displayed for the Program: select program

Study Abroad student tuition fees available here

Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information

  Commonwealth Supported Student Contribution
Tuition Fees
Units EFTSL Pre-2010 2010 Onwards Domestic International
3 0.125 Band 2 $1,169 Band 2 $1,169 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
3810 Mon 12/03/2018 Sat 31/03/2018 Fri 04/05/2018 Fri 08/06/2018


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
10830 LE01 25 8 26 Feb - 26 Mar Monday 10am - 11am Barr Smith South, 534, Forum Lecture Theatre
27 Feb - 20 Mar Tuesday 9am - 10am Engineering & Mathematics, EMG07, Teaching Room
2 Mar - 30 Mar Friday 9am - 10am Napier, 209, Lecture Theatre
27 Mar - 27 Mar Tuesday 9am - 10am Engineering & Mathematics, EMG13, Computer Suite
16 Apr - 4 Jun Monday 10am - 11am Barr Smith South, 534, Forum Lecture Theatre
17 Apr - 1 May Tuesday 9am - 10am Engineering & Mathematics, EMG07, Teaching Room
20 Apr - 8 Jun Friday 9am - 10am Napier, 209, Lecture Theatre
8 May - 8 May Tuesday 9am - 10am Engineering & Mathematics, EMG13, Computer Suite
15 May - 5 Jun Tuesday 9am - 10am Engineering & Mathematics, EMG07, Teaching Room