MATH6041 - Technological Mathematics 220

Title:Technological Mathematics 220
Long Title:TM 220 Technological Mathematics for Electrical & Electronic Engineers
Module Code:MATH6041
  
Credits: 5
NFQ Level:Fundamental
Field of Study: Mathematics
Valid From: Semester 1 - 2014/15 ( September 2014 )
Module Delivered in 7 programme(s)
Module Coordinator: AINE NI SHE
Module Author: MICHAEL BRENNAN
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:
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.
Pre-requisite learning
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 CIT module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
10244 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.
7796 MATH6042 Technological Mathematics 220A
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
Co-requisites
No Co Requisites listed
 

Module Content & Assessment

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.
Assessment Breakdown%
Course Work30.00%
End of Module Formal Examination70.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Other Series of in class assessments 1,2,3,4 30.0 Every Week
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam End-of-Semester Final Examination 1,2,3,4 70.0 End-of-Semester
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 institute reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture Class based instruction 3.0 Every Week 3.00
Tutorial Working on assignment sheets and carrying out continual assessment 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Exercise sheets 2.0 Every Week 2.00
Independent & Directed Learning (Non-contact) Skill Practice 1.0 Every Week 1.00
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
Workload: Part Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture Class based Instruction 2.0 Every Week 2.00
Lecture Class based instruction 1.0 Every Second Week 0.50
Independent & Directed Learning (Non-contact) Skills practice 1.0 Every Week 1.00
Tutorial Working on assignment sheets and carrying out continual assessment 1.0 Every Second Week 0.50
Total Hours 5.00
Total Weekly Learner Workload 4.00
Total Weekly Contact Hours 3.00
 

Module Resources

Recommended Book Resources
  • John Bird 2010, Engineering Mathematics, Sixth Edition Ed., Newnes Oxford [ISBN: 9780080965628]
  • K A Stroud 2013, Engineering Mathematics, 7th Edition Ed., Palgrave Macmillan Hampshire [ISBN: 9781137031204]
This module does not have any article/paper resources
This module does not have any 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_EELEC_7 Bachelor of Engineering in Electrical Engineering 3 Mandatory
CR_EELXE_7 Bachelor of Engineering in Electronic Engineering 3 Mandatory
CR_SINEN_8 Bachelor of Science (Honours) in Instrument Engineering 3 Mandatory
CR_EELEC_6 Higher Certificate in Engineering in Electrical Engineering 3 Mandatory
CR_EELXE_6 Higher Certificate in Engineering in Electronic Engineering 3 Mandatory