Registry

Module Specifications

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

Module Title	Linear Algebra and Vectors
Module Code	MS200
School	School of Mathematics
Online Module Resources
Module Co-ordinator	Semester 1: Michael Clancy (maths) Semester 2: Michael Clancy (maths) Autumn: Michael Clancy (maths)
NFQ level	8	Credit Rating	5
Pre-requisite	None
Co-requisite	None
Compatibles	None
Incompatibles	None

Description

This module will introduce students to the notions of vectors, matrices and linear maps in the context of Euclidean Space. The module aims to give students a working knowledge of the methods and applications of linear algebra. Applications will be chosen with their significance to the students disciplines in mind. Students will attend lectures on the course material and will work, independently, to solve problems on topics related to the course material. The students will have an opportunity to review their solutions, with guidance, at weekly tutorials.

Learning Outcomes

1. Solve systems of linear equations.
2. Perform various operations with vectors and matrices.
3. Apply linear algebraic methods to geometic problems in 2 and 3 dimensions.
4. Demonstrate an understanding of concepts by use of examples or counterexamples.

Workload	Full-time hours per semester
*Type*	*Hours*	*Description*
Lecture	24	Students will attend lectures where new material will be presented and explained. Also attention will be drawn to various supporting material and tutorials as the course progresses.
Tutorial	12	Students will show their solutions to homework questions and will receive help with and feed-back on these solutions.
Independent learning	89	Corresponding to each lecture students will devote approximately one and a half additional hours of independent study to the material discussed in that lecture or to work on support material when attention is drawn to such in lectures. Before each tutorial students will devote approximately three and a half hours to solving homework problems which are to be discussed in that tutorial.
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.
Introduction to Systems of Linear Equations, Gaussian Elimination, Consistent and Inconsistent Systems..

Matrices.
Matrices and Matrix Operations, Square Matrices, Determinants, Inverses, More Systems of Linear Equations.

Vectors.
Vectors in the plane, Vectors in space, Applications to Geometry, n-component vectors, linear independence and bases, Gram-Schmidt Process Linear transformations.

Eigenvectors.
Eigenvalues, Eigenvectors and Diagonalization..

Assessment Breakdown
Continuous Assessment	20%	Examination Weight	80%

Course Work Breakdown
Type	Description	% of total	Assessment Date
In Class Test	n/a	20%	n/a

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

Howard Anton and Chris Rorres: 2000, Elementary Linear Algebra, (Applications Version)., 8, Wiley, 0471170526
Howard Anton: 2005, Elementary Linear Algebra., 9, Wiley, 0471669601
Noble, B. and Daniels, J.: 1988, Applied Linear Algebra, 3, Prentice Hall, 0130412600

Other Resources

None

Array

Programme or List of Programmes

CASE

BSc in Computer Applications (Sft.Eng.)

BSc Science Education

Timetable this semester: Timetable for MS200

Date of Last Revision

09-JUN-10

Archives: