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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-ordinatorSemester 1: Ronan Egan
Semester 2: Abraham Harte
Autumn: Abraham Harte
Module TeachersAbraham Harte
Ronan Egan
Nina Snigireva
NFQ level 8 Credit Rating 5
Pre-requisite None
Co-requisite None
Compatibles None
Incompatibles None

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
Lecture24Students 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.
Tutorial12Students will show their solutions to homework questions and will receive help with and feed-back on these solutions.
Independent Study89Corresponding 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 and Matrix Operations, Square Matrices, Determinants, Inverses, More Systems of Linear Equations

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

Eigenvalues, Eigenvectors and Diagonalization.

Assessment Breakdown
Continuous Assessment20% Examination Weight80%
Course Work Breakdown
TypeDescription% of totalAssessment Date
In Class Testn/a20%
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
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Date of Last Revision09-JUN-10

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