Undergraduate Course: Introduction to Lie Groups (MATH11053)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Available to all students |
| Credit level (Normal year taken) | SCQF Level 11 (Year 4 Undergraduate) |
Credits | 10 |
| Home subject area | Mathematics |
Other subject area | Specialist Mathematics & Statistics (Honours) |
| Course website |
https://info.maths.ed.ac.uk/teaching.html |
Taught in Gaelic? | No |
| Course description | Course for final year students in Honours programmes in Mathematics.
Matrix groups: the general and special linear groups and subgroups preserving bilinear forms. The Lie algebra of a matrix group: the exponential map. Transformation groups: the group acting on itself and on its Lie algebra: the adjoint representation. Quaternions. |
Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
Students MUST have passed:
Algebra (MATH10021)
|
Co-requisites | |
| Prohibited Combinations | |
Other requirements | None |
| Additional Costs | None |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | Yes |
Course Delivery Information
|
| Delivery period: 2013/14 Semester 1, Available to all students (SV1)
|
Learn enabled: Yes |
Quota: None |
| Web Timetable |
Web Timetable |
| Course Start Date |
17/09/2013 |
| Breakdown of Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 5,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
69 )
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| Additional Notes |
|
| Breakdown of Assessment Methods (Further Info) |
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
|
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
|
|
| Main Exam Diet S2 (April/May) | | 2:00 | | |
Summary of Intended Learning Outcomes
1. An understanding of matrix groups and their Lie algebras, as an application of linear algebra.
2. An understanding of transformation groups and the notion of invariance.
3. To gain an appreciation of the interplay between different areas of mathematics in the setting of matrix groups.
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Assessment Information
See 'Breakdown of Assessment Methods' and 'Additional Notes', above.
|
Special Arrangements
| None |
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 | Lie |
Contacts
| Course organiser | Prof Jose Figueroa-Ofarrill
Tel: (0131 6)50 5066
Email: j.m.figueroa@ed.ac.uk |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk |
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