Registry

Module Specifications

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

Module Title	Linear Mathematics I
Module Code	MS103
School	School of Mathematics
Online Module Resources
Module Co-ordinator	Semester 1: David Reynolds Semester 2: David Reynolds Autumn: David Reynolds
Module Teacher	David Reynolds
NFQ level	8	Credit Rating	5
Pre-requisite	None
Co-requisite	None
Compatibles	None
Incompatibles	None

Description

The purpose of this module is to introduce students to matrix algebra and linearity. In this module students will gain a sound grasp of elementary linear algebra, and fundamental computational skills; it lays the foundations for further courses in linear algebra, calculus, probability and statistics. The module is aimed at students who have recently completed Leaving Certificate Honours Mathematics.The course is delivered through a combination of lectures, and tutorials facilitated by a tutor.

Learning Outcomes

1. Demonstrate computational skills by solving wide range of drill problems involving topics in the indicative syllabus
2. State selected definitions and theorems related to the indicative syllabus
3. Solve exercises that test understanding of these definitions and theorems
4. Explain arguments used to prove selected theorems in special cases

Workload	Full-time hours per semester
*Type*	*Hours*	*Description*
Lecture	24	Lectures
Tutorial	11	Tutorial and examples class
Independent learning	44	Solving exercises on tutorial sheets
Independent learning	22	Preparation for class tests and final exam
Independent learning	24	Assimilating lecture content
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

Systems of linear equations and matrices.
Matrix algebra; invertibility; lines and planes; Gaussian elimination; elementary matrices and Gauss-Jordan method forfinding inverse; diagonal, triangular, symmetric and Hermitian matrices; triangular decompositions.

Vector Spaces.
Spaces of real and complex vectors; subspaces; linear independence; basis and dimension; row space, column space and null space; rank and nullity.

Assessment Breakdown
Continuous Assessment	20%	Examination Weight	80%

Course Work Breakdown
Type	Description	% of total	Assessment Date
In Class Test	Class test on Gaussian elimination	10%	Week 3
In Class Test	Class Test on Inverses of Matrices	10%	Week 7

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