PURE MTH 3023 - Fields and Modules III
Career: | Undergraduate |
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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
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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3920 | Mon 12/08/2019 | Sat 31/08/2019 | Fri 20/09/2019 | Fri 01/11/2019 |
Class Details
Enrolment Class: Lecture | |||||||
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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 |