University Course Planner The University of Adelaide Australia

PURE MTH 3023 - Fields and Modules III

Career: Undergraduate
Units: 3
Term: 3920
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 and (PURE MTH 2106 or PURE MTH 3007)
Assumed Knowledge: PURE MTH 2106, PURE MTH 3007
Assessment: Ongoing assessment, exam
Biennial Course: Offered in odd years
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.

Course Fees

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Student Status

Domestic
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Commonwealth supported
Full fee paying

Study Level

Undergraduate
Postgraduate Coursework
Non Award

Program of Study

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Units
EFTSL
Amount
3
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
3920 Mon 12/08/2019 Sat 31/08/2019 Fri 20/09/2019 Fri 01/11/2019


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
23214 LE01 20 11 29 Jul - 16 Sep Monday 4pm - 5pm Engineering & Mathematics, EM212, Teaching Room
30 Jul - 17 Sep Tuesday 2pm - 3pm Engineering & Mathematics, EM212, Teaching Room
1 Aug - 19 Sep Thursday 2pm - 3pm Engineering & Mathematics, EM212, Teaching Room
7 Oct - 28 Oct Monday 4pm - 5pm Engineering & Mathematics, EM212, Teaching Room
8 Oct - 29 Oct Tuesday 2pm - 3pm Engineering & Mathematics, EM212, Teaching Room
10 Oct - 31 Oct Thursday 2pm - 3pm Engineering & Mathematics, EM212, Teaching Room