Postgraduate Course: Basic Algebra 1 (MATH11125)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Not available to visiting students |
| Credit level (Normal year taken) | SCQF Level 11 (Postgraduate) |
Credits | 20 |
| Home subject area | Mathematics |
Other subject area | None |
| Course website |
None |
Taught in Gaelic? | No |
| Course description | *Only Postgraduate Taught students on Mathematics Degree Programmes and Undergraduate MMath Year 5 students may take this course, and selection requires the approval of the Programme Director.*
Basic concepts in group theory, including definitions and examples; constructions of groups; generators and relations;simple groups; the Jordan-Holder theorem; soluble groups; group actions; conjugation; Sylow theorems and applications; free groups and presentations. (12
hours)
Basic concepts in ring and module theory; chain conditions; Hilbert Basis Theorem; these ideas illustrated by examples in number theory and algebraic geometry. (8 hours) |
Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
|
Co-requisites | |
| Prohibited Combinations | Students MUST NOT also be taking
Jewels of Algebra (MATH10050)
|
Other requirements | None |
| Additional Costs | None |
Course Delivery Information
|
| Delivery period: 2013/14 Semester 1, Not available to visiting students (SS1)
|
Learn enabled: Yes |
Quota: None |
Web Timetable |
Web Timetable |
| Course Start Date |
16/09/2013 |
| Breakdown of Learning and Teaching activities (Further Info) |
Total Hours:
200
(
Lecture Hours 20,
Seminar/Tutorial Hours 10,
Summative Assessment Hours 3,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
163 )
|
| Additional Notes |
|
| Breakdown of Assessment Methods (Further Info) |
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
|
| No Exam Information |
Summary of Intended Learning Outcomes
| A thorough understanding of the basics of group theory, group actions, ring theory and elementary module theory, with the ability to apply these latter two theories to rings arising in number theory and algebraic geometry. |
Assessment Information
| See 'Breakdown of Assessment Methods' and 'Additional Notes', above. |
Special Arrangements
| Selection of this course requires the approval of your Programme Director. |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | BAlg1 |
Contacts
| Course organiser | Prof Tom Lenagan
Tel: (0131 6)50 5078
Email: T.Lenagan@ed.ac.uk |
Course secretary | Mrs Frances Reid
Tel: (0131 6)50 4883
Email: f.c.reid@ed.ac.uk |
|
© Copyright 2013 The University of Edinburgh - 10 October 2013 4:53 am
|
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