Algebra (VS1) (U01922)

? Credit Points : 10 ? SCQF Level : 10 ? Acronym : MAT-3-AlgS1

Core course for Honours Degrees in Mathematics and/or Statistics (for students who took "Groups and symmetry" in 2003-04 or earlier).

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.

Entry Requirements

? This course is only available to part year visiting students.

? This course is a variant of the following course : U01616

Subject Areas

Home subject area

Specialist Mathematics & Statistics (Honours), (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 3rd year

? Delivery Period : Semester 1 (Blocks 1-2)

? Contact Teaching Time : 3 hour(s) per week for 11 weeks

First Class Information

Date	Start	End	Room	Area	Additional Information
20/09/2007	11:10	12:00	Lecture Theatre B, JCMB	KB

All of the following classes

Type	Day	Start	End	Area
Lecture	Monday	11:10	12:00	KB
Lecture	Thursday	11:10	12:00	KB

? Additional Class Information : Supervision: one hour per week (shared with other 'core' courses), at a time to be arranged with Supervisor.

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.
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.