Module Specifications..
Current Academic Year 2023  2024
Please note that this information is subject to change.
 
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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.  
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, ncomponent vectors, linear independence and bases, GramSchmidt Process Linear transformations Eigenvectors Eigenvalues, Eigenvectors and Diagonalization.  
 
Indicative Reading List
 
Other Resources None  
Programme or List of Programmes  
Date of Last Revision  09JUN10  
Archives: 
