THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2013/2014 -
- ARCHIVE as at 1 September 2013 for reference only
THIS PAGE IS OUT OF DATE

University Homepage
DRPS Homepage
DRPS Search
DRPS Contact
DRPS : Course Catalogue : School of Mathematics : Mathematics

Postgraduate Course: Basic Algebra 2 (MATH11126)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Course typeStandard AvailabilityNot available to visiting students
Credit level (Normal year taken)SCQF Level 11 (Postgraduate) Credits20
Home subject areaMathematics Other subject areaNone
Course website None Taught in Gaelic?No
Course description*Only Postgraduate Taught students on Mathematics Degree Programmes and Undergraduate MMath Year 5 students may take this course, and selection requires the approval of the Programme Director.*

Basic module theory, including such categorical notions as simple and projective modules.

Module theory for principal ideal domains, with examples such as Jordan Canonical Form and finitely generated abelian groups.

Artin-Wedderburn theory, in the context of finite dimensional algebras over fields. (8 hours)

Ordinary representation theory of finite groups: Maschke's theorem; characters and character tables; tensor products; applications to groups such as Burnside's Theorem. (12 hours)
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Basic Algebra 1 (MATH11125)
Co-requisites
Prohibited Combinations Other requirements None
Additional Costs None
Course Delivery Information
Delivery period: 2013/14 Semester 2, Not available to visiting students (SS1) Learn enabled:  Yes Quota:  None
Web Timetable Web Timetable
Course Start Date 13/01/2014
Breakdown of Learning and Teaching activities (Further Info) Total Hours: 200 ( Lecture Hours 20, Seminar/Tutorial Hours 10, Summative Assessment Hours 3, Programme Level Learning and Teaching Hours 4, Directed Learning and Independent Learning Hours 163 )
Additional Notes
Breakdown of Assessment Methods (Further Info) Written Exam 80 %, Coursework 20 %, Practical Exam 0 %
No Exam Information
Summary of Intended Learning Outcomes
A thorough understanding of the basics of module theory including the fundamental theorem for finitely generated modules over principal ideal domains in the commutative setting and the decomposition theory for finitely generated modules over finite dimensional semisimple algebras, with the ability to apply the theory to problems concerning Jordan Canonical Form, finitely generated abelian groups and representation theory.

Ability to manipulate representations of groups, particularly through character tables.
Assessment Information
See 'Breakdown of Assessment Methods' and 'Additional Notes', above.
Special Arrangements
Selection of this course requires the approval of your Programme Director.
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
KeywordsBAlg2
Contacts
Course organiserProf Tom Lenagan
Tel: (0131 6)50 5078
Email: T.Lenagan@ed.ac.uk
Course secretaryMrs Frances Reid
Tel: (0131 6)50 4883
Email: f.c.reid@ed.ac.uk
Navigation
Help & Information
Home
Introduction
Glossary
Search DPTs and Courses
Regulations
Regulations
Degree Programmes
Introduction
Browse DPTs
Courses
Introduction
Humanities and Social Science
Science and Engineering
Medicine and Veterinary Medicine
Other Information
Combined Course Timetable
Prospectuses
Important Information
 
© Copyright 2013 The University of Edinburgh - 10 October 2013 4:53 am