Algebra (G5144)
Algebra
Module G5144
Module details for 2022/23.
15 credits
FHEQ Level 5
Module Outline
• Abelian groups, Lagrange’s theorem, homomorphisms.
• Generic finite groups, special subgroups (normal, centre), quotient groups.
• Rings, integral domains, Euclidean domains, fields.
• Homomorphisms, ideals, quotient rings. Polynomial rings as running examples.
Module learning outcomes
Use a range of established techniques in order to solve problems in classical group theory;
Use a range of established techniques in order to solve problems in classical ring theory;
Undertake further training in Algebra and develop existing skills from Number Theory.
| Type | Timing | Weighting |
|---|---|---|
| Coursework | 10.00% | |
| Coursework components. Weighted as shown below. | ||
| Portfolio | T1 Week 11 | 100.00% |
| Unseen Examination | Semester 1 Assessment | 80.00% |
| Coursework | 10.00% | |
| Coursework components. Weighted as shown below. | ||
| Problem Set | T1 Week 3 | 25.00% |
| Problem Set | T1 Week 5 | 25.00% |
| Problem Set | T1 Week 8 | 25.00% |
| Problem Set | T1 Week 10 | 25.00% |
Timing
Submission deadlines may vary for different types of assignment/groups of students.
Weighting
Coursework components (if listed) total 100% of the overall coursework weighting value.
| Term | Method | Duration | Week pattern |
|---|---|---|---|
| Autumn Semester | Lecture | 2 hours | 11111111111 |
| Autumn Semester | Lecture | 1 hour | 11111111111 |
| Autumn Semester | Workshop | 1 hour | 01111111111 |
How to read the week pattern
The numbers indicate the weeks of the term and how many events take place each week.
Dr Bence Borda
Assess convenor
/profiles/634383
Please note that the University will use all reasonable endeavours to deliver courses and modules in accordance with the descriptions set out here. However, the University keeps its courses and modules under review with the aim of enhancing quality. Some changes may therefore be made to the form or content of courses or modules shown as part of the normal process of curriculum management.
The University reserves the right to make changes to the contents or methods of delivery of, or to discontinue, merge or combine modules, if such action is reasonably considered necessary by the University. If there are not sufficient student numbers to make a module viable, the University reserves the right to cancel such a module. If the University withdraws or discontinues a module, it will use its reasonable endeavours to provide a suitable alternative module.