Module Details

Module Code: MATH6041
Title: Technological Mathematics 220
Long Title: Tech Mathematics 220 for Elect. Eng
NFQ Level: Fundamental
Valid From: Semester 1 - 2020/21 ( September 2020 )
Duration: 1 Semester
Credits: 5
Field of Study: 4610 - Mathematics
Module Delivered in: 5 programme(s)
Module Description: This module builds on the learner's previous knowledge and understanding of differential and integral calculus. New techniques and applications of differentiation and integration are included. The module also provides an introduction to statistics.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Use differentiation to solve optimisation problems and related rates of change problems.
LO2 Apply partial differentiation to analyse small changes, error analysis and rates of change.
LO3 Apply various integration techniques. Calculate the mean and root mean square value of periodic and non periodic functions.
LO4 Describe and analyse descriptive statistics of samples and populations using graphical and analytical methods.
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).
14702 MATH6045 Technological Maths 2 (Elec)
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
Differential Calculus
Review of the fundamental rules of differentiation to include product, quotient and chain rules. Differentiation of polynomial, rational, exponential, logarithmic, trigonometric, hyperbolic and inverse functions. The second derivative test and its use in optimisation problems. Application of the Newton Raphson method. Calculation of related rates of change. Implicit differentiation. Introduction to partial differentiation to include first and second order partial derivatives. Applications to small changes, error analysis and rates of change.
Integral Calculus
Review of the fundamental techniques of anti-differentiation and integration to include table look-up and the method of substitution. Integration techniques to include integration by parts and partial fractions. Applications of definite integral to include the calculation of the mean and root mean square (rms) of periodic and non periodic functions.
Introduction to Statistics
Graphical display of statistical data including histograms, ogive and boxplots. Calculation of measures of location and dispersion such at the mean, median, mode range and standard deviation.
Module Content & Assessment
Assessment Breakdown%
Coursework40.00%
End of Module Formal Examination60.00%

Assessments

Coursework
Assessment Type Short Answer Questions % of Total Mark 20
Timing Week 5 Learning Outcomes 1,2
Assessment Description
In class written assessment
Assessment Type Short Answer Questions % of Total Mark 20
Timing Week 10 Learning Outcomes 3,4
Assessment Description
In class written assessment
End of Module Formal Examination
Assessment Type Formal Exam % of Total Mark 60
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 Problem solving including group work Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Study of lecture notes, exercise sheets 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 Problem solving including group work Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Study of lecture notes, exercise sheets 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), Engineering Mathematics, 8th Edition. Routledge, Abingdon, [ISBN: 9781138673595].
Supplementary Book Resources
  • K A Stroud. (2013), Engineering Mathematics, 7th Edition. Palgrave Macmillan, Hampshire, [ISBN: 9781137031204].
This module does not have any article/paper resources
Other Resources
 
Module Delivered in
Programme Code Programme Semester Delivery
CR_EEPSY_8 Bachelor of Engineering (Honours) in Electrical Engineering 3 Mandatory
CR_EELES_8 Bachelor of Engineering (Honours) in Electronic Engineering 3 Mandatory
CR_ESMPR_8 Bachelor of Engineering (Honours) in Smart Product Engineering 3 Mandatory
CR_EELEC_7 Bachelor of Engineering in Electrical Engineering 3 Mandatory
CR_EELXE_7 Bachelor of Engineering in Electronic Engineering 3 Mandatory