PURE MTH 7106 - Algebra
Career: | Postgraduate Coursework |
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Units: | 3 |
Term: | Semester 1 |
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: | MATHS 1012 |
Assessment: | Ongoing assessment, exam |
Syllabus: |
Knowledge of group theory and of linear algebra is important for an understanding of many areas of pure and applied mathematics, including advanced algebra and analysis, number theory, coding theory, cryptography and differential equations. There are also important applications to physics and chemistry. Topics covered are (1) Equivalence relations (2) Groups: subgroups, cyclic groups, cosets, Lagrange's theorem, normal subgroups and factor groups. Examples of finite and infinite groups, including groups of symmetries and permutations, groups of numbers and matrices. Homomorphisms and isomorphisms of groups. (3) Linear algebra: vector spaces, bases, linear transformations and matrices, subspaces, sums and quotients of spaces, dual spaces, bilinear forms and inner product spaces, and canonical forms. |
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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Semester 1 | Tue 12/03/2024 | Thu 21/03/2024 | Fri 03/05/2024 | Fri 07/06/2024 |
Class Details
Enrolment Class: Seminar | |||||||
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Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
15482 | SE01 | 2 | 1 | 26 Feb - 1 Apr | Monday | 1pm - 2pm | Barr Smith South, 2051, Teaching Room |
22 Apr - 27 May | Monday | 1pm - 2pm | Barr Smith South, 2051, Teaching Room | ||||
Related Class: Workshop | |||||||
Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
15479 | WR02 | 1 | 1 | 28 Feb - 3 Apr | Wednesday | 9am - 10am | Engineering & Mathematics, EM105, Teaching Room |
24 Apr - 29 May | Wednesday | 9am - 10am | Engineering & Mathematics, EM105, Teaching Room | ||||
15480 | WR01 | 1 | FULL | 1 Mar - 5 Apr | Friday | 9am - 10am | Engineering & Mathematics, EM105, Teaching Room |
26 Apr - 31 May | Friday | 9am - 10am | Engineering & Mathematics, EM105, Teaching Room |