Module Details

Module Code: MATH6035
Title: Mathematics 3 (NMCI)
Long Title: Marine Engineering Mathematics 3 (NMCI)
NFQ Level: Fundamental
Valid From: Semester 1 - 2013/14 ( September 2013 )
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 differential calculus.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Use differentiation techniques to differentiate various functions relevant to marine engineering.
LO2 Define and differentiate inverse trigonometrical and hyperbolic functions.
LO3 Apply differentiation to calculate maximum and minimum values. Use numerical methods to solve equations.
LO4 Analyse errors and percentage changes using partial derivatives.
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.
 
 
Indicative Content
Differentiation Techniques
Differentiation of implicit functions. Differentiation of parametric equations. Logarithmic differentiation.
Inverse trigonometric functions, hyperbolic functions
Definition and differentiation of inverse trigonometric and hyperbolic functions.
Applications of differentiation
Applications of differentiation to optimisation. Solution of equations using the Newton-Raphson method of approximation.
Partial Differentiation
Introduction to partial differentiation. Application of partial differentiation to the approximation of percentage changes and errors.
Module Content & Assessment
Assessment Breakdown%
Coursework30.00%
End of Module Formal Examination70.00%

Assessments

Coursework
Assessment Type Short Answer Questions % of Total Mark 15
Timing Week 5 Learning Outcomes 1,2
Assessment Description
In-class test - Differentiation
Assessment Type Short Answer Questions % of Total Mark 15
Timing Week 10 Learning Outcomes 3,4
Assessment Description
In-class test - applications of differentiation
End of Module Formal Examination
Assessment Type Formal Exam % of Total Mark 70
Timing End-of-Semester Learning Outcomes 1,2,3,4
Assessment Description
End-of-Semester Final 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 Review of lecture material, completion of exercise 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 Review of lecture material, completion of exercise 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: 978-0831134709].
Supplementary Book Resources
  • Glyn James. (2010), Modern Engineering Mathematics, 4th. Trans-Atlantic Publications, [ISBN: 978-0273734130].
  • 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 3 Mandatory
CR_EMARE_7 Bachelor of Engineering in Marine Engineering 3 Mandatory