Module Details

Module Code: MATH8003
Title: Engineering Mathematics 311
Long Title: Engineering Mathematics 311
NFQ Level: Advanced
Valid From: Semester 1 - 2019/20 ( September 2019 )
Duration: 1 Semester
Credits: 5
Field of Study: 4610 - Mathematics
Module Delivered in: 3 programme(s)
Module Description: This module extends the treatment of Laplace transforms, discusses the eigensystem of a matrix and its application to the solution of simultaneous systems of differential equations; derives Fourier series and illustrates their use in the solution of partial differential equations.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Use the method of Laplace transforms to solve differential equations involving the Heaviside unit-step function and the Dirac delta function.
LO2 Calculate the eigenvalues and eigenvectors of a matrix and use the eigensystem to solve systems of simultaneous linear differential equations with constant coefficients.
LO3 Derive and apply Fourier series to the solution of a number of partial differential equations.
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
Further Laplace Transforms
Review of Laplace transforms. The Convolution Theorem. The Heaviside unit-step function and the Dirac delta function. Solution of differential equations involving the Heaviside unit-step function, the Dirac delta function, point loads and uniformly distributed loads.
Linear Algebra
Calculation of eigenvalues and eigenvectors. Applications to the solution of systems of simultaneous differential equations to include systems of vibrating masses.
Fourier Series
Fourier series representaion of periodic functions. Even and odd functions. Half Range Fourier Sine and Cosine series.
Partial Differential Equations
Solution of partial differential equations to include the one-dimensional heat equation, the one-dimensional wave equation and Laplace's equation.
Module Content & Assessment
Assessment Breakdown%
Coursework30.00%
End of Module Formal Examination70.00%

Assessments

Coursework
Assessment Type Other % of Total Mark 15
Timing Week 6 Learning Outcomes 1
Assessment Description
In class assessment
Assessment Type Other % of Total Mark 15
Timing Week 10 Learning Outcomes 2,3
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
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 Lecture Every Week 3.00 3
Tutorial Contact Based on Exercise Sheets Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Study of lecture material and exercise sheets 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 Lecture Every Week 2.00 2
Lecture Contact Lecture Every Second Week 0.50 1
Tutorial Contact Based on exercise sheets Every Second Week 0.50 1
Independent & Directed Learning (Non-contact) Non Contact Study of lecture material and exercise sheets Every Week 4.00 4
Total Hours 8.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 3.00
 
Module Resources
Recommended Book Resources
  • Erwin Kreyszig. (2011), Advanced Engineering Mathematics, 10th. John Wiley & Sons, [ISBN: 13:0-471-72879-9].
  • Dennis G. Zill, Warren S. Wright, Michael R. Cullen. (2013), Advanced engineering mathematics, 4th. Jones and Bartlett Publishers, [ISBN: 978-0763779948].
Supplementary Book Resources
  • Stroud K.A., Dexter J.B. (2011), Advanced Engineering Mathematics, 5th. Palgrave Macmillan, [ISBN: 978-0230275485].
  • Glyn James. (2010), Advanced Modern Engineering Mathematics, 4th. Prentice Hall, [ISBN: 978-0273719236].
This module does not have any article/paper resources
Other Resources
 
Module Delivered in
Programme Code Programme Semester Delivery
CR_CSTRU_8 Bachelor of Engineering (Honours) in Structural Engineering 5 Mandatory
CR_CCEEE_9 Master of Engineering in Civil Engineering (Environment and Energy) 5 Mandatory
CR_CSTEN_9 Master of Engineering in Structural Engineering 5 Mandatory