Module Details

Module Code: MATH6044
Title: Technological Maths (Nautical)
Long Title: Technological Mathematics (Nautical)
NFQ Level: Fundamental
Valid From: Semester 1 - 2023/24 ( September 2023 )
Duration: 1 Semester
Credits: 5
Field of Study: 4610 - Mathematics
Module Delivered in: 1 programme(s)
Module Description: This module is designed to consolidate and develop student competence in using mathematical techniques for scientific and engineering programs.It also introduces the nautical student to spherical trigonometry.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 State the laws of indices and logs and use these laws to solve equations.
LO2 Formulate and solve various equations.
LO3 Reduce equations to linear form and interpret constants from graphs.
LO4 Use trigonometry to solve triangles and equations.
LO5 Apply spherical trigonometry to the sphere to solve spherical triangles.
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).
18361 MATH6044 Technological Maths (Nautical)
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
Basic Mathematics
Indices, logarithms, scientific notation, units. Transposition and evaluation of formulae.
Algebra
Formulation and solution of equations: linear, quadratic, cubic equations. Complex roots. Linear and non-linear simultaneous equations. Partial fractions. Polynomial functions.
Linear Graphs
Reduction of non-linear relationships to linear form. Manipulation of data and plotting of graphs; evaluation and interpretation of constants.
Trigonometry
Trigonometric ratios and identities, unit circle. Graphs of trigonometric functions (waveforms). Solution of trigonometric equations, sine and cosine rules. Polar form of a complex number.
Spherical trigonometry
Definitions of great and small circles. Properties of spherical triangles. Napier's rules.Haversine, sine and cosine formulae. Solution of right angled and quadrantal spherical triangles.
Module Content & Assessment
Assessment Breakdown%
Coursework100.00%

Assessments

Coursework
Assessment Type Short Answer Questions % of Total Mark 20
Timing Week 3 Learning Outcomes 1
Assessment Description
Written assessment on the laws of indices and logs
Assessment Type Short Answer Questions % of Total Mark 20
Timing Week 5 Learning Outcomes 2
Assessment Description
Written assessment on formulating and solving equations
Assessment Type Performance Evaluation % of Total Mark 20
Timing Week 8 Learning Outcomes 3
Assessment Description
Written assessment on reducing equations to linear form and interpreting graphs
Assessment Type Short Answer Questions % of Total Mark 20
Timing Week 10 Learning Outcomes 4
Assessment Description
Written assessment on trigonometry of triangles
Assessment Type Short Answer Questions % of Total Mark 20
Timing Week 12 Learning Outcomes 5
Assessment Description
Written assessment on spherical trigonometry
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 Formal delivery of course content Every Week 3.00 3
Tutorial Contact Problem solving session Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Exercises Every Week 3.00 3
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
Workload: Part Time
Workload Type Contact Type Workload Description Frequency Average Weekly Learner Workload Hours
Lecture Contact Formal delivery of course content Every Week 3.00 3
Tutorial Contact Problem solving session Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Exercises Every Week 3.00 3
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
 
Module Resources
Recommended Book Resources
  • J. O. Bird. (2021), Bird's Basic Engineering Mathematics, 8th Edition. Routledge, [ISBN: 978-0367643676].
Supplementary Book Resources
  • K.A. Stroud, Dexter J. Booth. (2020), Engineering Mathematics, 8th Edition. Red Globe Press, [ISBN: 978-1352010275].
This module does not have any article/paper resources
Other Resources
 
Module Delivered in
Programme Code Programme Semester Delivery
CR_SNASC_7 Bachelor of Science in Nautical Science 1 Mandatory