Module Details

Module Code: MATH7009
Title: Mathematics 5 (NMCI)
Long Title: Mathematics for Marine Engineers 5 (NMCI
NFQ Level: Intermediate
Valid From: Semester 1 - 2021/22 ( September 2021 )
Duration: 1 Semester
Credits: 5
Field of Study: 4610 - Mathematics
Module Delivered in: 2 programme(s)
Module Description: This module provides a treatment of probability, starting with fundamental definitions, axioms and laws, and including coverage of the theory and application of common probability distributions. In the area of statistics, the learner is also introduced to regression and correlation. The calculus covered in previous modules is extended further, to include the formulation and solution of differential equations.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Use various methods of integration to integrate functions.
LO2 Solve first and second order differential equations using classical methods, and interpret the solutions so obtained.
LO3 Apply the laws of probability and common discrete and continuous probability distributions to the solution of problems in marine engineering and associated disciplines.
LO4 Calculate and interpret correlation coefficients and regression lines.
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).
9651 MATH6035 Mathematics 3 (NMCI)
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
Probability
Definitions of probability, calculating probabilities, combinations, composite events, mutually exclusive and independent events, Bayes' Theorem. Discrete and Continuous random variables. Binomial, Poisson and Normal Distributions, Expected Value.
Regression & Correlation
Scatterplots, correlation coefficient, coefficient of determination, the method of least squares, the regression equation, prediction: interpolation and extrapolation.
Integration
Further integration using substitution, partial fractions and parts.
Differential Equations
Formulation of differential equations. Solution of differential equations: direct integration, variables separable, integrating factor, Euler's method.
Module Content & Assessment
Assessment Breakdown%
Coursework100.00%

Assessments

Coursework
Assessment Type Performance Evaluation % of Total Mark 25
Timing Week 3 Learning Outcomes 1
Assessment Description
Test 1 - Integration
Assessment Type Performance Evaluation % of Total Mark 25
Timing Week 6 Learning Outcomes 2
Assessment Description
Test 2 - Differential Equations
Assessment Type Performance Evaluation % of Total Mark 25
Timing Week 9 Learning Outcomes 3
Assessment Description
Test 3 - Probability
Assessment Type Performance Evaluation % of Total Mark 25
Timing Week 12 Learning Outcomes 4
Assessment Description
Test 4 - Regression & Correlation
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
Independent & Directed Learning (Non-contact) Non Contact Review of lecture material, completion of tutorial/exercise sheets Every Week 3.50 3.5
Tutorial Contact Tutorial sheets 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 Delivery of course material Every Week 2.00 2
Tutorial Contact Tutorial sheets Every Second Week 0.50 1
Independent & Directed Learning (Non-contact) Non Contact Review of lecture material, completion of tutorial/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: 9780831134709].
Supplementary Book Resources
  • Glyn James. (2010), Modern Engineering Mathematics, 4th. Trans-Atlantic Publications, [ISBN: 9780273734130].
  • J.A. Bird. Basic Engineering Mathematics [ebook], 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 5 Mandatory
CR_EMARE_7 Bachelor of Engineering in Marine Engineering 5 Mandatory