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MATH6045 - Technological Maths 2 (Elec)

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Title:Technological Maths 2 (Elec)
Long Title:Technological Maths 2 (Elec)
Module Code:MATH6045
 
Duration:1 Semester
Credits: 5
NFQ Level:Fundamental
Field of Study: Mathematics
Valid From: Semester 1 - 2020/21 ( September 2020 )
Module Delivered in 7 programme(s)
Next Review Date: February 2025
Module Coordinator: David Goulding
Module Author: DONAL G O SHEA
Module Description: Introduction to Complex Numbers and Calculus for students of engineering.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Perform complex number operations and apply complex expressions to problems in engineering.
LO2 Differentiate functions by rule.
LO3 Apply differentiation to tangents, rates of change and optimisation.
LO4 Integrate functions using a table of standard integrals and by substitution.
LO5 Apply integration techniques in relevant engineering applications.
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 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).

14701 MATH6014 Technological Mathematics 1
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
 

Module Content & Assessment

Indicative Content
Complex Numbers
Complex operations in rectangular form, polar form and exponential form. Rectangular and polar conversions on a calculator. De Moivre's theorem: powers and roots of complex numbers. Applications of complex numbers relevant to engineering.
Differentiation
Functions and limits. Definition and graphical interpretation of a derivative. First principles, product rule, quotient rule and chain rule. Applications of differentiation in relevant engineering problems.
Integration
Integration as anti differentiation. Standard Integrals. Summation and definite integration. Integration by substitution. Applications of integration in relevant engineering problems.
Assessment Breakdown%
Course Work100.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Short Answer Questions In class written 1 30.0 Week 4
Short Answer Questions In class written 2,3 35.0 Week 8
Short Answer Questions In class written 4,5 35.0 Week 12
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 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 Delivery of course material 3.0 Every Week 3.00
Tutorial Problem solving including group work 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Study of lecture notes, worksheets and problem solving 3.0 Every Week 3.00
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 Delivery of module content 2.0 Every Week 2.00
Tutorial Problem solving including group work 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Study of lecture notes, worksheets and problem solving 4.0 Every Week 4.00
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 Ed., Routledge Abingdon [ISBN: 1138673706]
Supplementary Book Resources
  • K.A. Stroud 2013, Engineering Mathematics, 7th Edition Ed., Macmillan London [ISBN: 1137031204]
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 2 Mandatory
CR_EELES_8 Bachelor of Engineering (Honours) in Electronic Engineering Sept 2021 2 Mandatory
CR_ESMPR_8 Bachelor of Engineering (Honours) in Smart Product Engineering 2 Mandatory
CR_EELEC_7 Bachelor of Engineering in Electrical Engineering 2 Mandatory
CR_EELXE_7 Bachelor of Engineering in Electronic Engineering 2 Mandatory
CR_EELEC_6 Higher Certificate in Engineering in Electrical Engineering 2 Mandatory
CR_EELXE_6 Higher Certificate in Engineering in Electronic Engineering 2 Mandatory

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