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Module Specifications

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

Module Title Introduction to Abstract Algebra
Module Code MS321
School School of Mathematics
Online Module Resources

Module Co-ordinatorSemester 1: Thomas Brady
Semester 2: Thomas Brady
Autumn: Thomas Brady
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



Workload Full-time hours per semester
Type Hours Description
Lecture24Lecture
Tutorial8tutorial
Independent learning time93No 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 Assessment25% Examination Weight75%
Course Work Breakdown
TypeDescription% of totalAssessment Date
In Class TestIn class test25%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 1
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
Array
Programme or List of Programmes
SEBSc Science Education
Timetable this semester: Timetable for MS321
Date of Last Revision26-JAN-12
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