Module: Linear Algebra

Module Specifications.

Current Academic Year 2024 - 2025

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Date posted: September 2024

Module Title	Linear Algebra
Module Code	MS200 (ITS) / MTH1034 (Banner)
Faculty	Science & Health	School	Mathematical Sciences
Module Co-ordinator	Ronan Egan
Module Teachers	Abraham Harte
NFQ level	8	Credit Rating	5
Pre-requisite	Not Available
Co-requisite	Not Available
Compatibles	Not Available
Incompatibles	Not Available

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: Resit category 1: A resit is available for both* components of the module. Resit category 2: No resit is available for a 100% continuous assessment module. Resit category 3: No resit is available for the continuous assessment component where there is a continuous assessment and examination element.
* ‘Both’ is used in the context of the module having a Continuous Assessment/Examination split; where the module is 100% continuous assessment, there will also be a resit of the assessment
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

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