Module Details

Module Code: MATH7026
Title: Mathematics 6 (NMCI)
Long Title: Mathematics 6 (NMCI)
NFQ Level: Intermediate
Valid From: Semester 2 - 2022/23 ( January 2023 )
Duration: 1 Semester
Credits: 5
Field of Study: 4610 - Mathematics
Module Delivered in: 1 programme(s)
Module Description: This module introduces the learner to matrix algebra, Laplace transforms, statistical inference and statistical process control.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Manipulate matrices and use them in the solution of simultaneous equations.
LO2 Solve differential equations using Laplace transforms.
LO3 Test a hypothesis using an appropriate hypothesis test.
LO4 Construct and interpret statistical control charts.
Dependencies
Module Recommendations

This is prior learning (or a practical skill) that is strongly recommended before enrolment in this module. You may enrol in this module if you have not acquired the recommended learning but you will have considerable difficulty in passing (i.e. achieving the learning outcomes of) the module. While the prior learning is expressed as named MTU module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. You may not earn additional credit for the same learning and therefore you may not enrol in this module if you have successfully completed any modules in the incompatible list.
No incompatible modules listed
Co-requisite Modules
No Co-requisite modules listed
Requirements

This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. You may not enrol on this module if you have not acquired the learning specified in this section.
No requirements listed
 
Indicative Content
Matrices
Types of matrices. Matrix algebra. Determinants. Inverse matrix. Solution of systems of linear equations using matrix methods.
Laplace transforms
Definition of a Laplace transform. Table of Laplace transforms. Linearity property. Inverse transforms, using table look-up and partial fractions. Application of the Laplace transform to the solution of differential equations.
Hypothesis testing
Null hypothesis, alternative hypothesis. One-tailed test, two-tailed test. Significance level. Test statistic, p-value. Test on the mean when variance is known/unknown. Two-sample tests for difference between means.
Quality control charts
Statistical quality control charts for mean and range. Construction and interpretation.
Module Content & Assessment
Assessment Breakdown%
Coursework100.00%

Assessments

Coursework
Assessment Type Performance Evaluation % of Total Mark 25
Timing Week 4 Learning Outcomes 1
Assessment Description
In class assessment
Assessment Type Performance Evaluation % of Total Mark 25
Timing Week 6 Learning Outcomes 2
Assessment Description
In class assessment
Assessment Type Performance Evaluation % of Total Mark 25
Timing Week 9 Learning Outcomes 3
Assessment Description
In class exam
Assessment Type Performance Evaluation % of Total Mark 25
Timing Week 13 Learning Outcomes 1,2,3,4
Assessment Description
In class exam
No End of Module Formal Examination
Reassessment Requirement
Repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.

The University reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Contact Type Workload Description Frequency Average Weekly Learner Workload Hours
Lecture Contact Lecture Every Week 3.00 3
Independent & Directed Learning (Non-contact) Non Contact Completion of exercise sheets, review of lecture content Every Week 3.50 3.5
Tutorial Contact Tutorial sheets, problem solving Every Second Week 0.50 1
Total Hours 7.50
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 3.50
Workload: Part Time
Workload Type Contact Type Workload Description Frequency Average Weekly Learner Workload Hours
Lecture Contact Lecture Every Week 3.00 3
Tutorial Contact Tutorial Sheets, Problem Solving Every Second Week 0.50 1
Directed Learning Non Contact Completion of Exercise Sheets, Review of Lecture Notes Every Week 3.50 3.5
Total Hours 7.50
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 3.50
 
Module Resources
Recommended Book Resources
  • K.A. Stroud and Dexter J. Booth. Engineering Mathematics, Prentice Hall, [ISBN: 978-1403942463].
  • K A Stroud. Advanced Engineering Mathematics, Prentice Hall, [ISBN: 978-0230275485].
Supplementary Book Resources
  • Anthony Croft, Robert Davison, Martin Hargreaves. (2000), Engineering Mathematics, Prentice Hall, [ISBN: 978-0130268587].
  • Anthony Croft, Robert Davison, Martin Hargreaves. (2000), Engineering Mathematics, 3rd. Prentice Hall, [ISBN: 978-0130268587].
  • John Bird. (2007), Engineering Mathematics, 5th. Newnes, [ISBN: 978-0750685559].
  • Kuldeep Singh. (2007), Engineering Mathematics Through Applications, 2nd. Palgrave Macmillan, [ISBN: 978-0230274792].
  • Erwin Kreyszig. (2011), Advanced Engineering Mathematics, 10th. Wiley, [ISBN: 978-0470646137].
  • Glyn James, David Burley, Dick Clements, Phil Dyke, John Searl. (2010), Advanced Modern Engineering Mathematics, 4th. Prentice Hall, [ISBN: 978-0273719236].
This module does not have any article/paper resources
Other Resources
 
Module Delivered in
Programme Code Programme Semester Delivery
CR_EMAEL_7 Bachelor of Engineering in Marine Electrotechnology 6 Mandatory