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 
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
Prerequisites  None 
Displayed in Visiting Students Prospectus?  Yes 
Course Delivery Information
Not being delivered 
Summary of Intended Learning Outcomes
1. Ability to do elementary calculations in finitedimensional 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.

Assessment Information
Examination 100%

Special Arrangements
None 
Additional Information
Academic description 
Not entered 
Syllabus 
Not entered 
Transferable skills 
Not entered 
Reading list 
http://www.readinglists.co.uk 
Study Abroad 
Not entered 
Study Pattern 
Not entered 
Keywords  Alg 
Contacts
Course organiser  Dr Michael Wemyss
Tel: (0131 6)50 4880
Email: m.wemyss@ed.ac.uk 
Course secretary  Dr Jenna Mann
Tel: (0131 6)50 4885
Email: Jenna.Mann@ed.ac.uk 

