Registry

Module Specifications

Current Academic Year 2012 - 2013
Please note that this information is subject to change.

Module Title	Algebra
Module Code	MS341
School	School of Mathematics
Online Module Resources
Module Co-ordinator	Semester 1: Thomas Brady Semester 2: Thomas Brady Autumn: Thomas Brady
Module Teacher	Thomas Brady
NFQ level	8	Credit Rating	7.5
Pre-requisite	None
Co-requisite	None
Compatibles	None
Incompatibles	None

Description

This module provides an introduction to modern abstract algebra. In this module students will develop knowledge and skills in the basic algebraic structures of groups, rings and fields. The participants are expected to have a good knowledge of linear algebra and experience with the abstract approach to mathematics. This module provides the basis for algebraic applications such as coding and cryptography. Students are expected to attend lectures, participate in tutorials and take in-class tests.

Learning Outcomes

1. Do basic computations in groups, rings and fields
2. Compute structures of factor groups and rings
3. Compute in field extensions
4. Construct proofs of simple propositions

Workload	Full-time hours per semester
*Type*	*Hours*	*Description*
Lecture	36	Lecture
Tutorial	12	No Description
Independent learning time	140	No Description
Total Workload: 188

All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml

Indicative Content and Learning Activities

Groups.
Definition and examples, normal subgroups and factor groups.

Rings.
Definition and examples, factor rings and fields.

Fields.
Field extensions, finite fields.

Assessment Breakdown
Continuous Assessment	25%	Examination Weight	75%

Course Work Breakdown
Type	Description	% of total	Assessment Date
Short answer questions	In-class tests	25%	Every Second Week

Reassessment Requirement
Resit arrangements are explained by the following categories; 1 = A resit is available for all components of the module 2 = No resit is available for 100% continuous assessment module 3 = No resit is available for the continuous assessment component
This module is category 3

Indicative Reading List

J. Rotman: 2000, A first course in Abstract Algebra, 2nd Ed., Prentice Hall,
John B. Fraleigh: 2002, A First Course in Abstract Algebra, 7th, Addison Wesley,

Other Resources

None

Array

Programme or List of Programmes

APM

B.Sc. Applicable Mathematics

BSSA

Study Abroad (DCU Business School)

BSSAO

Study Abroad (DCU Business School)

ECSA

Study Abroad (Engineering & Computing)