Registry

Module Specifications

Archived Version 2009 - 2010

Module Title	Linear Algebra I
Module Code	MS103
School	School of Mathematical Sciences
Online Module Resources
Module Co-ordinator	Dr Tom Brady	Office Number	X144
Level	1	Credit Rating	7.5
Pre-requisite	None
Co-requisite	None

Module Aims

To introduce notions of vector space and linear transformation.
To introduce elementary matirx analysis
To serve as a bridge from the typical intuitive treatment of calculus to more rigorouscourses such as Algebra and Analysis.

Learning Outcomes

Students should appreciate the use of matrices7Students should be able to do simple mathematical proofs.

Indicative Time Allowances
	Hours
Lectures	36
Tutorials	12
Laboratories	0
Seminars	0
Independent Learning Time	64.5

Total	112.5
Placements
Assignments

NOTE

Assume that a 7.5 credit module load represents approximately 112.5 hours' work, which includes all teaching, in-course assignments, laboratory work or other specialised training and an estimated private learning time associated with the module.

Indicative Syllabus

· Vectors, Matrices and Linear Systems:

Vectors in Euclidean Spaces, norm and the dotproduce matrices and their algebra. Solving systems of linear equations, inverse of squarematrix, Homogeneous systems, subspaces and bases.

· Dimension, Rank and Linear Transformations:

Independence and dimension, rank of a matrix,linear transformations of Euclidean spaces.·Vectors. Basic concepts, Inner product spaces-continuous functions on C[0,1] with innerproduct defined by the integral from 0 to 1. Schwarz inequality, triangle inequality.

Assessment
Continuous Assessment	25%	Examination Weight	75%

Indicative Reading List

A text is not required. However, the following may be helpful and is close in spirit to the material.Fraleigh, Beauregard; Linear Algebra, 3 rd Edition, Addison Wesley.

Programme or List of Programmes

PFCMS

Pilot Foundation Course (Maths)

Archives: