PURE MTH 7059 - Groups and Rings
Career: | Postgraduate Coursework |
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Units: | 3 |
Term: | 4310 |
Campus: | North Terrace |
Contact: | Up to 3 hours per week |
Available for Study Abroad and Exchange: | Yes |
Available for Non-Award Study: | No |
Assumed Knowledge: | PURE MTH 2106 |
Assessment: | Ongoing assessment, examination |
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
Study Abroad student tuition fees are available here
Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information.
The fees displayed below for international students are for students commencing a program in 2024 only. International students who commenced a program in 2023 or prior can find their fee here.
EFTSL | |||
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0.125 |
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 |
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4310 | Tue 14/03/2023 | Thu 23/03/2023 | Fri 05/05/2023 | Fri 09/06/2023 |
Class Details
Enrolment Class: Workshop | |||||||
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Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
10483 | WR01 | 3 | 3 | 1 Mar - 5 Apr | Wednesday | 5pm - 6pm | Engineering & Mathematics, EM218, Teaching Room |
26 Apr - 31 May | Wednesday | 5pm - 6pm | Engineering & Mathematics, EM218, Teaching Room | ||||
Related Class: Tutorial | |||||||
Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
11321 | TU01 | 3 | 3 | 27 Feb - 3 Apr | Monday | 10am - 11am | Engineering & Mathematics, EMG06, Teaching Room |
24 Apr - 5 Jun | Monday | 10am - 11am | Engineering & Mathematics, EMG06, Teaching Room | ||||
11324 | TU02 | 0 | FULL | 28 Feb - 4 Apr | Tuesday | 4pm - 5pm | MyUni, OL, Online Class |
25 Apr - 6 Jun | Tuesday | 4pm - 5pm | MyUni, OL, Online Class | Note: This class is for OFFSHORE students only. To request to enrol in this class please fill out this form: https://set.adelaide.edu.au/student-support/forms-policies/course-or-class-full-resolution-form. NOTE: You will need to provide evidence, or a statement, that you will be located offshore for the duration of the course when submitting this form. | |||
Related Class: Computer Exercise | |||||||
Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
20343 | CO01 | 3 | 3 | 31 Mar - 31 Mar | Friday | 12pm - 1pm | Engineering & Mathematics, EM106, Computer Suite |
12 May - 12 May | Friday | 12pm - 1pm | Engineering & Mathematics, EM106, Computer Suite |