THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2011/2012
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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Algebra (MATH10021)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Course typeStandard AvailabilityAvailable to all students
Credit level (Normal year taken)SCQF Level 10 (Year 3 Undergraduate) Credits20
Home subject areaMathematics Other subject areaSpecialist Mathematics & Statistics (Honours)
Course website https://info.maths.ed.ac.uk/teaching.html Taught in Gaelic?No
Course descriptionCore 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.
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: ( Foundations of Calculus (MATH08005) AND Several Variable Calculus (MATH08006) AND Linear Algebra (MATH08007) AND Methods of Applied Mathematics (MATH08035)) OR ( Mathematics for Informatics 3a (MATH08042) AND Mathematics for Informatics 3b (MATH08043) AND Mathematics for Informatics 4a (MATH08044) AND Mathematics for Informatics 4b (MATH08045))
Co-requisites
Prohibited Combinations Students MUST NOT also be taking Algebra (VS1) (MATH10016)
Other requirements None
Additional Costs None
Information for Visiting Students
Pre-requisitesNone
Displayed in Visiting Students Prospectus?Yes
Course Delivery Information
Delivery period: 2011/12 Full Year, Available to all students (SV1) WebCT enabled:  Yes Quota:  None
Location Activity Description Weeks Monday Tuesday Wednesday Thursday Friday
King's BuildingsLectureTh A, JCMB1-29 11:10 - 12:00
King's BuildingsLectureTh A, JCMB1-29 11:10 - 12:00
First Class Week 1, Monday, 11:10 - 12:00, Zone: King's Buildings. Th A, JCMB
Additional information Semester 2 Lectures
Mon & Thu 11:10, Th A, JCMB

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
Main Exam Diet S2 (April/May)3:00
Resit Exam Diet (August)3:00
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.
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
KeywordsAlg
Contacts
Course organiserProf Douglas Heggie
Tel: (0131 6)50 5035
Email: d.c.heggie@ed.ac.uk		 Course secretaryMrs Kathryn Mcphail
Tel: (0131 6)50 4885
Email: k.mcphail@ed.ac.uk
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© Copyright 2011 The University of Edinburgh - 16 January 2012 6:24 am