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MATH6005 - Engineering Maths 101

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Title:Engineering Maths 101
Long Title:Engineering Mathematics 101
Module Code:MATH6005
 
Duration:1 Semester
Credits: 5
NFQ Level:Fundamental
Field of Study: Mathematics
Valid From: Semester 1 - 2019/20 ( September 2019 )
Module Delivered in 7 programme(s)
Module Coordinator: David Goulding
Module Author: Clodagh Carroll
Module Description: This module is designed to provide an introduction to fundamental mathematical techniques used in engineering.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Perform matrix operations and evaluate determinants.
LO2 Use matrices to solve systems of linear equations.
LO3 Perform vector algebra.
LO4 Use vectors to solve problems in engineering mathematics.
LO5 Solve equations with real and complex roots.
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).
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
Matrices and Determinants
Definition of a matrix and types of matrices. Matrix algebra. Inverse matrices. Determinants and their properties. Evaluation of determinants. Solutions of simultaneous equations using matrix methods - Gaussian elimination, Cramer's rule.
Vectors
Definition. Algebra of vectors. Unit vectors. Scalar product. Vector product. Scalar triple product and vector triple product. Applications.
Complex Numbers
Definition and algebra of complex numbers. Polar form. De Moivre's Theorem. Euler's formula.
Practical Content
Introduction to appropriate online mathematical software. Use online mathematical software to assist student learning.
Assessment Breakdown%
Course Work30.00%
End of Module Formal Examination70.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Short Answer Questions In class assessment 1 10.0 Week 4
Short Answer Questions In class assessment 2 10.0 Week 7
Short Answer Questions In class assessment 3,4 10.0 Week 10
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam End-of-Semester Final Examination 1,2,3,4,5 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
Lab Lab based tutorial 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Review of lecture material, completion of exercise sheets 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 Class based instruction 3.0 Every Week 3.00
Lab Lab based tutorial 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Review of lecture material, completion of exercise sheets 3.0 Every Week 3.00
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
 

Module Resources

Recommended Book Resources
  • K. A. Stroud and Dexter J. Booth 2013, Engineering Mathematics, 7th Ed., Palgrave Macmillan [ISBN: 9781137031204]
  • A. Croft and R. Davison 2015, Mathematics for Engineers, 4th Ed., Pearson Eductaion [ISBN: 9781292065939]
  • Glyn James 2010, Advanced Modern Engineering Mathematics, 4th Ed., Prentice Hall/Pearson Education [ISBN: 9780273719236]
This module does not have any article/paper resources
Other Resources
 

Module Delivered in

Programme Code Programme Semester Delivery
CR_EBIOM_8 Bachelor of Engineering (Honours) in Biomedical Engineering 1 Mandatory
CR_ECPEN_8 Bachelor of Engineering (Honours) in Chemical and Biopharmaceutical Engineering 1 Mandatory
CR_EMECH_8 Bachelor of Engineering (Honours) in Mechanical Engineering 1 Mandatory
CR_CSTRU_8 Bachelor of Engineering (Honours) in Structural Engineering 1 Mandatory
CR_EOMNI_8 Engineering Common Entry (Level 8) 1 Mandatory
CR_CCEEE_9 Master of Engineering in Civil Engineering (Environment and Energy) 1 Mandatory
CR_CSTEN_9 Master of Engineering in Structural Engineering 1 Mandatory

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Email: help@cit.edu.ie