Module: Linear Algebra and Vectors

Module Specifications..

Current Academic Year 2023 - 2024

Please note that this information is subject to change.

Module Title	Linear Algebra and Vectors
Module Code	MS200
School	School of Mathematical Sciences
Module Co-ordinator	Semester 1: Ronan Egan Semester 2: Abraham Harte Autumn: Abraham Harte
Module Teachers	Abraham Harte Ronan Egan Nina Snigireva
NFQ level	8	Credit Rating	5
Pre-requisite	None
Co-requisite	None
Compatibles	None
Incompatibles	None

None
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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.

*Type*	*Hours*	*Description*
Workload	Full-time hours per semester
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 Study	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%

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

Reassessment Requirement Type
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

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

Programme or List of Programmes

AI	Chemistry with Artificial Intelligence
AP	BSc in Applied Physics
BSSA	Study Abroad (DCU Business School)
BSSAO	Study Abroad (DCU Business School)
CASE	BSc in Computer Applications (Sft.Eng.)
COMSCI	BSc in Computer Science
HMSA	Study Abroad (Humanities & Soc Science)
HMSAO	Study Abroad (Humanities & Soc Science)
IESA	Study Abroad (Institute of Education)
IESAO	Study Abroad (Institute of Education)
PAN	BSc Physics with Data Analytics
PBM	BSc Physics with Biomedical Sciences
PHA	BSc in Physics with Astronomy
SHSA	Study Abroad (Science & Health)
SHSAO	Study Abroad (Science & Health)
SMPSC	Single Module Prof. Science and Health

Date of Last Revision

09-JUN-10

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