- Code MATH3354
- Unit Value 6 units
All activities that form part of this course will be delivered remotely in Sem 2 2020.
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)
In response to COVID-19: Please note that Semester 2 Class Summary information (available under the classes tab) is as up to date as possible. Changes to Class Summaries not captured by this publication will be available to enrolled students via Wattle.
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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.
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- Student Contribution Band:
- Unit value:
- 6 units
If you are an undergraduate student and 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). You can find your student contribution amount for each course 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.