Undergraduate Course: Algebra (MATH10021)
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 10 (Year 3 Undergraduate) |
Credits |
20 |
Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Honours) |
Course website |
https://info.maths.ed.ac.uk/teaching.html
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Taught in Gaelic? |
No |
Course description |
Core course for Honours Degrees in Mathematics and/or Statistics. Syllabus summary: Set theory, 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. Groups, cosets and Lagrange's theorem, group actions, normal subgroups and quotient groups, homomorphisms and the first isomorphism theorem. |
Information for Visiting Students
Pre-requisites |
None |
Displayed in Visiting Students Prospectus? |
Yes |
Course Delivery Information
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Delivery period: 2010/11 Full Year, Available to all students (SV1)
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WebCT enabled: Yes |
Quota: None |
Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
King's Buildings | Lecture | | 1-22 | 11:10 - 12:00 | | | | | King's Buildings | Lecture | | 1-22 | | | | 11:10 - 12:00 | |
First Class |
Week 1, Monday, 11:10 - 12:00, Zone: King's Buildings. JCMB, Lecture Theatre A |
Additional information |
Moves to Th B in Semester 2
Supervision: one hour per week (shared with other 'core' courses), at a time to be arranged with Supervisor. |
Exam Information |
Exam Diet |
Paper Name |
Hours:Minutes |
Stationery Requirements |
Comments |
Main Exam Diet S2 (April/May) | | 3:00 | 20 sides. No YAF. | c/w MATH09006 and MATH10018 | Resit Exam Diet (August) | | 3:00 | 20 sides. No YAF. | c/w MATH09006. 2010 only |
Summary of Intended Learning Outcomes
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. Ability to calculate in several different sorts of group.
6. Familiarity with the language and ideas of group actions.
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Assessment Information
Examination 95%
Coursework 5% |
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 |
Alg |
Contacts
Course organiser |
Dr Adri Olde-Daalhuis
Tel: (0131 6)50 5992
Email: A.OldeDaalhuis@ed.ac.uk |
Course secretary |
Mrs Kathryn Mcphail
Tel: (0131 6)50 4885
Email: k.mcphail@ed.ac.uk |
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copyright 2011 The University of Edinburgh -
31 January 2011 7:59 am
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