Module Details

Module Code: MATH6036
Title: Mathematics 4 (NMCI)
Long Title: Marine Engineering Mathematics 4 (NMCI)
NFQ Level: Fundamental
Valid From: Semester 2 - 2022/23 ( January 2023 )
Duration: 1 Semester
Credits: 5
Field of Study: 4610 - Mathematics
Module Delivered in: 2 programme(s)
Module Description: Further development of the theory, techniques and applications of integral calculus.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Integrate functions relevant to marine engineering, using table look-up, substitution, substitution, partial fractions, and the method of integration by parts.
LO2 Use numerical methods to estimate definite integrals.
LO3 Apply integration to calculate the mean value and the root mean square of a function.
LO4 Apply integration to calculate the volume of a solid of revolution.
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).
7800 MATH6016 Technological Maths 1 (C.A.)
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
Methods of Integration
Integration of various functions via table look-up. Substitution method. Integration by partial fractions. Integration by parts.
Application
Estimate definite integrals using midpoint, trapezoidal and Simpson's rules.
Application
Application of integration to calculate and interpret the mean value and the root mean square value of a function.
Application
Use integration to calculate the volume of a solid of revolution.
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 test - integration
Assessment Type Performance Evaluation % of Total Mark 25
Timing Week 7 Learning Outcomes 3
Assessment Description
In-class test - applications of integration
Assessment Type Performance Evaluation % of Total Mark 25
Timing Week 9 Learning Outcomes 4
Assessment Description
In-class test
Assessment Type Performance Evaluation % of Total Mark 25
Timing Week 13 Learning Outcomes 1,2,3,4
Assessment Description
In-class test
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 Delivery of course material Every Week 3.00 3
Tutorial Contact Completion of exercises and solution of problems on tutorial sheets Every Second Week 0.50 1
Independent & Directed Learning (Non-contact) Non Contact Study of course material, completion of tutorial/homework sheets Every Week 3.50 3.5
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 Delivery of course material Every Week 2.00 2
Tutorial Contact Completion of exercises and solution of problems on tutorial sheets Every Second Week 0.50 1
Independent & Directed Learning (Non-contact) Non Contact Study of course material, completion of tutorial/homework sheets Every Week 4.50 4.5
Total Hours 7.50
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 2.50
 
Module Resources
Recommended Book Resources
  • K.A. Stroud with Dexter J. Booth. (2013), Engineering Mathematics, 7th. Industrial Press, [ISBN: 9780831134709].
Supplementary Book Resources
  • Glyn James. (2010), Modern Engineering Mathematics, 4th. Trans-Atlantic Publications, [ISBN: 9780273734130].
  • Anthony Croft et al. (2012), a foundation for electronic, electrical, communications and systems engineers [ebook], Pearson, [ISBN: 9780273719878].
  • J.A. Bird. Basic Engineering Mathematics [ebook], 5th. Newnes, Amsterdam, [ISBN: 9780080959184].
  • J.A. Bird. (2010), Engineering Mathematics, 6th. Newnes, Oxford, [ISBN: 9780080965635].
  • Kuldeep Singh. (2003), Engineering mathematics through applications, Palgrave Macmillan, Basingstoke, [ISBN: 0333922247].
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 4 Mandatory
CR_EMARE_7 Bachelor of Engineering in Marine Engineering 4 Mandatory