Module Specifications..
Current Academic Year 2023  2024
Please note that this information is subject to change.
 
None Examination in August repeat exam diet 

Description The purpose of this module is to introduce students to matrix algebra and linearity. In this module students will gain a sound grasp of elementary linear algebra, and fundamental computational skills; it lays the foundations for further courses in linear algebra, calculus, probability and statistics. The module is aimed at students who have recently completed Leaving Certificate Honours Mathematics. The course is delivered through a combination of lectures, and tutorials facilitated by a tutor.  
Learning Outcomes 1. demonstrate computational skills by solving wide range of drill problems involving topics in the indicative syllabus 2. state selected definitions and theorems related to the indicative syllabus 3. solve exercises that test understanding of these definitions and theorems 4. explain arguments used to prove selected theorems in special cases  
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
Matrices and linear equations Matrix algebra; invertibility; vectors; lines and planes; Gaussian elimination; elementary matrices and GaussJordan method forfinding inverse; diagonal, triangular, symmetric and Hermitian matrices; triangular decompositions; symmetric positive and negative definite matrices Geometry Lines, planes, triangles, parallelograms Determinants Determinants by cofactor expansion; evaluating determinants using row and column operations; properties of determinants; adjugate; finding inverses; criteria involving principal minors for testing positive and negativeness  
 
Indicative Reading List
 
Other Resources None  
Programme or List of Programmes  
Date of Last Revision  18JUN08  
Archives: 
