Undergraduate Course: Algebra (Ord) (MATH09006)
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 9 (Year 3 Undergraduate) |
Credits |
20 |
| Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Ordinary) |
| Course website |
http://student.maths.ed.ac.uk
|
Taught in Gaelic? |
No |
| Course description |
Syllabus summary: Fields (including finite fields), revision of linear maps and the Rank Theorem as a classification result, diagonalisability and minimal polynomials (phenomenological discussion only), symmetric bilinear and quadratic forms, quotient spaces, discretization of DEs, discrete Fourier transform, singular value decomposition. Groups, cosets and Lagrange's theorem, group actions, normal subgroups and quotient groups, homomorphisms and the first isomorphism theorem.
For this Ordinary version there is more emphasis on the technical, rather than conceptual elements, which will be reflected by a different examination. |
Information for Visiting Students
| Pre-requisites |
None |
| Displayed in Visiting Students Prospectus? |
Yes |
Course Delivery Information
| Not being delivered |
Summary of Intended Learning Outcomes
The following are the learning objectives for the Honours version, MAT-3-Alg :
1. Ability to do elementary calculations in finite-dimensional vector spaces over general fields.
2. Some understanding of quotient constructions in linear algebra and group theory.
3. Ability to classify symmetric bilinear and quadratic forms and to use the results.
4. Familiarity with the basic ideas of classification of endomorphisms of vector spaces.
5. Familiarity with the singular-value decomposition and its applications.
6. An understanding of the basic ideas of the linear algebra arising in discretization of differential equations.
7. A basic understanding of the Fast Fourier Transform.
8. Ability to calculate in several different sorts of group.
9. Familiarity with the language and ideas of group actions.
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Assessment Information
Examination only.
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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 |
Not entered |
Contacts
| Course organiser |
Dr Bruce Worton
Tel: (0131 6)50 4884
Email: Bruce.Worton@ed.ac.uk |
Course secretary |
Mrs Kathryn Mcphail
Tel: (0131 6)50 4885
Email: k.mcphail@ed.ac.uk |
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