Registry

Module Specifications

Archived Version 2015 - 2016

Module Title	Introduction to Abstract Algebra
Module Code	MS321
School	School of Mathematical Sciences
Online Module Resources
Module Co-ordinator	Dr Tom Brady	Office Number	X144
NFQ level	8	Credit Rating	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 structure of groups. The participants are expected to have a good knowledge of linear algebra and experience with the abstract approach to mathematics. Students are expected to attend lectures, participate in tutorials and take in-class tests.

Learning Outcomes

1. Do basic computations in groups.
2. Compute structures of factor groups
3. Compute structures of abelian groups
4. Construct proofs of simple propositions

*Type*	*Hours*	*Description*
Workload	Full-time hours per semester
Lecture	24	Lecture
Tutorial	8	tutorial
Independent Study	93	No Description
Total Workload: 125

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, examples, basic properties

Subgroups
Definition, examples, classification of subgroups of cyclic groups

Factor groups
Cosets, Lagrange's Theorem, normal subgroups, homomorphisms, factor groups

Finite abelian groups
Direct products, structure of finite abelian groups

Assessment Breakdown
Continuous Assessment	25%	Examination Weight	75%

Type	Description	% of total	Assessment Date
Course Work Breakdown

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
Unavailable

Indicative Reading List

Joseph J. Rotman: 1996, A first course in abstract algebra, Prentice Hall, Upper Saddle River, N.J., 0133113744
John B. Fraleigh;: 2003, A first course in abstract algebra, Addison-Wesley, Boston, 9780201763904

Other Resources

None

Programme or List of Programmes

SE	BSc Science Education

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