This course introduces students to key concepts and techniques in advanced algebra. Topics will be taken from contemporary research areas in Algebra.
Possible topics include:
Algebraic number theory, Analytic number theory, Algebraic geometry and scheme theory, Sheaf theory, Derived and Triangulated categories, Algebraic curves and Riemann surfaces
Note: This is an HPC. It emphasizes mathematical rigour and proof and continues the development of modern algebra from an abstract viewpoint.
Upon successful completion, students will have the knowledge and skills to:
On satisfying the requirements of this course, students will have the knowledge and skills to:
1. Explain the fundamental concepts of advanced algebra and their role in modern mathematics and applied contexts
2. Demonstrate accurate and efficient use of advanced algebraic techniques
3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from advanced algebra
4. Apply problem-solving using advanced algebraic techniques applied to diverse situations in physics, engineering and other mathematical contexts
Other InformationThis course introduces students to key concepts and techniques in advanced algebra.
Assessment will be based on:
- Assignment 1 (20%; LO 1-4)
- Assignment 2 (20%; LO 1-4)
- Assignment 3 (20%; LO 1-4)
- Take home exam (40%; LO 1-4)
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WorkloadThree lectures per week and workshops by arrangement.
Requisite and Incompatibility
Tuition fees are for the academic year indicated at the top of the page.
Commonwealth Support (CSP) Students
If you have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). More information about your student contribution amount for each course at Fees.
- Student Contribution Band:
- Unit value:
- 6 units
If you are a domestic graduate coursework student with a Domestic Tuition Fee (DTF) place or international student you will be required to pay course tuition fees (see below). Course tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.
Where there is a unit range displayed for this course, not all unit options below may be available.
Offerings, Dates and Class Summary Links
Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.
|Class number||Class start date||Last day to enrol||Census date||Class end date||Mode Of Delivery||Class Summary|
|6047||25 Jul 2022||01 Aug 2022||31 Aug 2022||28 Oct 2022||In Person||N/A|