University Course Planner The University of Adelaide Australia

PURE MTH 3023 - Fields and Modules III

Career: Undergraduate
Units: 3
Term: 3820
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, PURE MTH 3007
Assessment: ongoing assessment, exam
Syllabus:

This subject presents the foundational material for the last of the basic algebraic structures pervading contemporary pure mathematics, namely fields and modules. The basic definitions and elementary results are given, followed by two important applications of the theory: to the classification of finitely generated abelian groups, and to Jordan canonical form for matrices. The subject concludes by returning to fields to present interesting applications of the theory. Fields: vector spaces, matrices, characteristic values; extension fields. Modules: finitely generated modules over a PID; canonical forms for matrices; Jordan canonical form. Applications of fields to algebraic and geometric problems.

Course Fees

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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
3820 Mon 06/08/2018 Fri 31/08/2018 Fri 14/09/2018 Fri 26/10/2018


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
23030 LE01 20 12 23 Jul - 10 Sep Monday 9am - 10am Engineering & Mathematics, EMG07, Teaching Room
24 Jul - 11 Sep Tuesday 11am - 12pm Engineering & Mathematics, EMG06, Teaching Room
26 Jul - 13 Sep Thursday 9am - 10am Engineering & Mathematics, EMG07, Teaching Room
1 Oct - 22 Oct Monday 9am - 10am Engineering & Mathematics, EMG07, Teaching Room
2 Oct - 23 Oct Tuesday 11am - 12pm Engineering & Mathematics, EMG06, Teaching Room
4 Oct - 25 Oct Thursday 9am - 10am Engineering & Mathematics, EMG07, Teaching Room