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Module Specifications..

Current Academic Year 2023 - 2024

Please note that this information is subject to change.

Module Title Linear Mathematics I
Module Code MS103
School School of Mathematical Sciences
Module Co-ordinatorSemester 1: Thomas Brady
Semester 2: Thomas Brady
Autumn: Thomas Brady
Module TeachersThomas Brady
NFQ level 6 Credit Rating 5
Pre-requisite None
Co-requisite None
Compatibles None
Incompatibles None
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



Workload Full-time hours per semester
Type Hours Description
Lecture24Lectures
Tutorial11Tutorial and examples class
Independent Study44Solving exercises on tutorial sheets
Independent Study22Preparation for class tests and final exam
Independent Study24Assimilating lecture content
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

Matrices and linear equations
Matrix algebra; invertibility; vectors; lines and planes; Gaussian elimination; elementary matrices and Gauss-Jordan 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

Assessment Breakdown
Continuous Assessment20% Examination Weight80%
Course Work Breakdown
TypeDescription% of totalAssessment Date
In Class TestClass test on matrices20%Week 7
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

  • H. Anton and C. Rorres: 2005, Elementary Linear Algebra - Applications Version, 9th or 10th, John Wiley & Sons, Inc.,
Other Resources

None
Programme or List of Programmes
ACMBSc in Actuarial Mathematics
AFUAge Friendly University Programme
BPMBSc in Psychology with Mathematics
BSSAStudy Abroad (DCU Business School)
BSSAOStudy Abroad (DCU Business School)
CAFMCommon Entry, Actuarial, Financial Maths
DSBSc in Data Science
HMSAStudy Abroad (Humanities & Soc Science)
HMSAOStudy Abroad (Humanities & Soc Science)
IESAStudy Abroad (Institute of Education)
IESAOStudy Abroad (Institute of Education)
SHSAStudy Abroad (Science & Health)
SHSAOStudy Abroad (Science & Health)
SMPSCSingle Module Prog Science and Health
Date of Last Revision18-JUN-08
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