Module Details

Module Code: MATH6014
Title: Technological Mathematics 1
Long Title: Technological Mathematics 1
NFQ Level: Fundamental
Valid From: Semester 1 - 2020/21 ( September 2020 )
Duration: 1 Semester
Credits: 5
Field of Study: 4610 - Mathematics
Module Delivered in: 16 programme(s)
Module Description: An introduction to fundamental mathematical calculations and problem solving aimed at consolidating and developing student competence in the mathematical techniques which are central to scientific and engineering programmes.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Perform essential engineering arithmetical calculations applying acquired knowledge of various calculator functions.
LO2 Use the laws of indices and logs to solve related equations arising in applied problems.
LO3 Formulate and solve equations involving quadratics and cubics. Solve a system of simultaneous linear equations using elimination.
LO4 Reduce equations to linear form and determine parameters from appropriate graphs.
LO5 Use basic trigonometry to determine angles, lengths and areas and solve simple trigonometric equations. Determine the salient characteristics of a sinusoidal waveform.
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
The Fundamentals of Arithmetic with Applications
The arithmetic of fractions. Decimal notation and calculations. Instruction on how to use a calculator. Ratio and proportion. Percentages. Approximation, error estimation, absolute, relative and relative percentage error
Basic Mathematics
Indices with a discussion of scientific notation and orders of magnitude. Logarithms and their use in the solution of indicial (exponential) equations. Conversion of units. Evaluation and transposition of formulae.
Algebra
Formulation and solution of linear, quadratic and cubic equations. Formulation and solution of systems of simultaneous linear equations. Simple partial fraction expansions.
Linear Graphs
Reduction of non-linear relationships to linear form. Manipulation of data and plotting of linear graphs to estimate parameters.
Trigonometry
Angle measurement in degrees and radians. Conversion between degrees and radians and vice versa. Length of a circular arc and area of a circular sector. Introduction of the trigonometric ratios via the unit circle. Solution of simple trigonometric equations. Applications of the Sine and Cosine rules to angle, length and area measurement. Graphs of the trigonometric functions with emphasis on the waveform nature of the Sine and Cosine functions. Discussion of general waveforms in terms of amplitude, period, frequency and phase. Treatment of applied problems involving sinusoidal waveforms.
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 Assessment
Assessment Type Short Answer Questions % of Total Mark 15
Timing Week 10 Learning Outcomes 3,4
Assessment Description
In class assessment
End of Module Formal Examination
Assessment Type Formal Exam % of Total Mark 70
Timing End-of-Semester Learning Outcomes 1,2,3,4,5
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 Solving of exercise problems Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Study of lecture notes and problem solving 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 Delivery of course material Every Week 2.00 2
Tutorial Contact Solving of exercise problems Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Study of lecture notes and problem solving Every Week 4.00 4
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 3.00
 
Module Resources
Recommended Book Resources
  • John Bird. (2017), Basic Engineering Mathematics, 7th Edition. Routledge, Abingdon, [ISBN: 1138673706].
Supplementary Book Resources
  • K.A. Stroud. (2013), Engineering Mathematics, 7th Edition. Macmillan, London, [ISBN: 1137031204].
This module does not have any article/paper resources
Other Resources
 
Module Delivered in
Programme Code Programme Semester Delivery
CR_EBENS_8 Bachelor of Engineering (Honours) in Building Energy Systems 1 Mandatory
CR_EEPSY_8 Bachelor of Engineering (Honours) in Electrical Engineering 1 Mandatory
CR_EELES_8 Bachelor of Engineering (Honours) in Electronic Engineering 1 Mandatory
CR_ESMPR_8 Bachelor of Engineering (Honours) in Smart Product Engineering 1 Mandatory
CR_ESENT_8 Bachelor of Engineering (Honours) in Sustainable Energy Engineering 1 Mandatory
CR_EBIME_7 Bachelor of Engineering in Biomedical Engineering 1 Mandatory
CR_EBSEN_7 Bachelor of Engineering in Building Services Engineering 1 Mandatory
CR_EELEC_7 Bachelor of Engineering in Electrical Engineering 1 Mandatory
CR_EELXE_7 Bachelor of Engineering in Electronic Engineering 1 Mandatory
CR_EMECH_7 Bachelor of Engineering in Mechanical Engineering 1 Mandatory
CR_EENTE_6 Certificate in Engineering Technology 2 Mandatory
CR_EBIME_6 Higher Certificate in Engineering in Biomedical Engineering 1 Mandatory
CR_EBSEN_6 Higher Certificate in Engineering in Building Services Engineering 1 Mandatory
CR_CCIVL_6 Higher Certificate in Engineering in Civil Engineering 1 Mandatory
CR_EMECH_6 Higher Certificate in Engineering in Mechanical Engineering 1 Mandatory
CR_EMECN_7 Parttime - Bachelor of Engineering in Mechanical Engineering 2 Group Elective 1