University Course Planner The University of Adelaide Australia

PURE MTH 3023 - Fields and Modules III

Career: Undergraduate
Units: 3
Term: Semester 2
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, PURE MTH 3007
Assessment: ongoing assessment 30%, exam 70%
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.

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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 2 Mon 07/08/2017 Thu 31/08/2017 Fri 15/09/2017 Fri 27/10/2017


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
23026 LE01 30 15 24 Jul - 11 Sep Monday 2pm - 3pm Napier, 209, Lecture Theatre
25 Jul - 12 Sep Tuesday 1pm - 2pm Barr Smith South, 3022, Polygon Lecture Theatre
27 Jul - 14 Sep Thursday 2pm - 3pm Medical School Nth, 103N, Florey Lecture Theatre
2 Oct - 23 Oct Monday 2pm - 3pm Napier, 209, Lecture Theatre
3 Oct - 24 Oct Tuesday 1pm - 2pm Barr Smith South, 3022, Polygon Lecture Theatre
5 Oct - 26 Oct Thursday 2pm - 3pm Medical School Nth, 103N, Florey Lecture Theatre