Hobart
Introduction
This Honours-level unit provides topics in algebra suitable for advanced undergraduate learning.
Specifics may differ slightly from year to year based on staff availability and students’ interests. Topics will be typically chosen from:
i) Matrix groups and Lie algebras;
ii) Representation theory;
iii) Combinatorial groups;
iv) Semigroup theory;
v) Algebraic geometry.
This unit is an optional unit for students enrolled in Honours Mathematics, Statistics, or Physics, or by permission of the Unit Coordinator.
Summary 2021
| Unit name | Advanced Topics in Algebra |
|---|---|
| Unit code | KMA453 |
| Credit points | 12.5 |
| Faculty/School | College of Sciences and Engineering School of Natural Sciences |
| Discipline | Mathematics |
| Coordinator | Jeremy Sumner |
| Available as student elective? | No |
| Breadth Unit? | No |
Availability
Note
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Units are offered in attending mode unless otherwise indicated (that is attendance is required at the campus identified). A unit identified as offered by distance, that is there is no requirement for attendance, is identified with a nominal enrolment campus. A unit offered to both attending students and by distance from the same campus is identified as having both modes of study.
Special approval is required for enrolment into TNE Program units.
TNE Program units special approval requirements.
* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (see withdrawal dates explained for more information).
Learning Outcomes
1 | Apply the fundamental concepts of advanced abstract algebra, through formulating mathematical proofs; |
2 | Identify and develop solutions to applied scientific problems using abstract algebra; |
3 | Synthesise knowledge of various abstract algebraic structures, and explain their appearance in a broad range of mathematical contexts; |
4 | Apply logic, reasoning and a variety of communication skills to present mathematical ideas and results in a clear and precise way. |
Fees
Requisites
Prerequisites
Students may enrol in this unit if they are eligible to enrol in Honours Mathematics, Statistics and Decision Science, or Physics, or by agreement with the Mathematics Honours Coordinator.
Teaching
| Teaching Pattern | TBA/refer to the unit outline |
|---|---|
| Assessment | AT1 - 20 minute presentation (10%) AT2 - 4 to 6 assignments (60%) AT3 - 90 minute end of semester test (15%) AT4 - 90 minute end of semester test (15%) |
| Timetable | View the lecture timetable | View the full unit timetable |
Textbooks
| Required | None |
|---|
The University reserves the right to amend or remove courses and unit availabilities, as appropriate.