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Mathematics, Signals and Systems - ELE00031I

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  • Department: Electronic Engineering
  • Module co-ordinator: Dr. Youngwook Ko
  • Credit value: 20 credits
  • Credit level: I
  • Academic year of delivery: 2024-25

Module summary

This module introduces more advanced mathematical tools that are useful for modelling real-world engineering systems and for the analysis and processing of signals.

Module will run

Occurrence Teaching period
A Semester 1 2024-25

Module aims

Subject content aims:

  • To introduce the techniques of multivariable calculus (including partial differentiation, coordinate transformations and multiple integrals)

  • To support applied modules in areas such as networks, electromagnetic fields and control theory

  • To provide an introduction to the Laplace transform and the Z-transform as tools for linear systems theory and analysis

  • To develop an awareness and understanding of the use of Fourier Transform, Fourier Series, Convolution and Correlation techniques to the study of signals and linear systems

Graduate skills aims:

  • To develop skills in the application of applied numeracy and algebraic techniques

Module learning outcomes

Subject content learning outcomes

After successful completion of this module, students will:

  • Describe the use of calculus for two and three dimensional problems

  • Discuss the limitations of the Laplace transform in the context of engineering problems

  • Explain the implications of sampling signals and the basic theory of the Z-transform

  • Be able to demonstrate an understanding of Fourier Series and Fourier Transform techniques

  • Be able to demonstrate an understanding of Convolution and Correlation techniques

  • Be able to explain and use the theorems associated with Fourier Transform techniques

  • Be able to describe the use of Correlation and Convolution techniques to analyse linear time invariant systems

  • Be able to evaluate total derivatives and multiple integrals in two or more variables

  • Be able to change variables and transform the way in which a multidimensional problem is viewed

  • Be able to use the Laplace transform in the analysis and characterisation of linear, time-invariant systems

  • Be able to compare and contrast the Laplace & Fourier transforms in an engineering context

  • Be able to apply Fourier Transform techniques to describe the characteristics of signals

Graduate skills learning outcomes

After successful completion of this module, students will:

  • Be able to explain commonly encountered technical concepts concisely and accurately

  • Be able to select and apply a range of mathematical techniques to solve problems

  • Have developed skills in problem solving, critical analysis and applied mathematics


Task Length % of module mark
Closed/in-person Exam (Centrally scheduled)
Mathematics, Signals and Systems
3 hours 100

Special assessment rules




Module feedback

'Feedback’ at a university level can be understood as any part of the learning process which is designed to guide your progress through your degree programme. We aim to help you reflect on your own learning and help you feel more clear about your progress through clarifying what is expected of you in both formative and summative assessments. A comprehensive guide to feedback and to forms of feedback is available in the Guide to Assessment Standards, Marking and Feedback.

The School of PET aims to provide some form of feedback on all formative and summative assessments that are carried out during the degree programme. In general, feedback on any written work/assignments undertaken will be sufficient so as to indicate the nature of the changes needed in order to improve the work. The School will endeavour to return all exam feedback within the timescale set out in the University's Policy on Assessment Feedback Turnaround Time. The School would normally expect to adhere to the times given, however, it is possible that exceptional circumstances may delay feedback. The School will endeavour to keep such delays to a minimum. Please note that any marks released are subject to ratification by the Board of Examiners and Senate. Meetings at the start/end of each term provide you with an opportunity to discuss and reflect with your supervisor on your overall performance to date.

Indicative reading

Digital Signal Processing: Concepts and Applications, Bernard Mulgrew, Peter Grant and John Thompson. Palgrave Macmillan, 2nd Edition, ISBN 0­333­96356­3

The information on this page is indicative of the module that is currently on offer. The University is constantly exploring ways to enhance and improve its degree programmes and therefore reserves the right to make variations to the content and method of delivery of modules, and to discontinue modules, if such action is reasonably considered to be necessary by the University. Where appropriate, the University will notify and consult with affected students in advance about any changes that are required in line with the University's policy on the Approval of Modifications to Existing Taught Programmes of Study.