Units / MTH2141
MTH2141 · Algebra 1: Group theory
2027 Handbook6 credit pointsLevel 2School of Mathematics
Overview
Groups in geometry, linear algebra, and number theory; cyclic and abelian groups; permutation groups; subgroups, cosets and normal subgroups and quotient groups; homomorphisms, isomorphisms and isomorphism theorem; group actions; Sylow theorems, group presentations.
Areas of study: Applied mathematics Mathematical statistics Mathematics Pure mathematics
Offerings
| Campus | Teaching period | Mode |
|---|---|---|
| Clayton | First semester | Teaching activities are on-campus (ON-CAMPUS) |
Assessment
The Handbook lists an examination for this unit.
| # | Assessment | Type | Weight | Hurdle |
|---|---|---|---|---|
| 1 | Continuous assessment | Demonstration | 50% | — |
| 2 | Final assessment - Exam (3 hours and 10 minutes) | Examination | 50% | — |
Assessment details may change. Please refer to the assessment information in Moodle closer to the start of the teaching period.
Requisites
Learning outcomes
- Communicate the beauty and the power of pure mathematics;
- Capture the mathematical notion of symmetry via group theory;
- Apply the fundamental concepts of abstract algebra;
- Explain the notion of proof in mathematics and be able to carry out basic proofs;
- Communicate mathematical arguments effectively, both orally and in writing, and collaborate to solve abstract algebra problems.
Workload
• Three 1-hour seminars; • One 2-hour applied class and • 7 hours of independent study per week.
| Activity | Duration |
|---|---|
| Applied sessions | 22 hours |
| Seminars | 36 hours |
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