This unit treats both transient and steady-state analysis of linear time-invariant systems by using Fourier and Laplace transform methods. In addition to periodic signals, signals represented by singularity function will also be included as forcing functions. The application of system concepts, which include transfer functions, poles and zeros, frequency response functions, and state variables, will be emphasised.

Unit details

Study level:
Credit points:
Unit code:


NEF1201 - Engineering Mathematics 2

NEE2101 - Electrical Circuits

Learning Outcomes

On successful completion of this unit, students will be able to:
  1. Adapt and apply Fourier series, Fourier transforms, and Laplace transforms to the analysis of signals and linear time-invariant systems;  
  2. Apply the Fourier series and Fourier transforms to the frequency-domain analysis of linear time-invariant systems;  
  3. Apply the Laplace transforms to the time-domain analysis of linear time-invariant systems described by linear differential equations and by state variables; and  
  4. Fluently employ MatLab commands and Simulink to analyse and evaluate linear time-invariant systems using Fourier series, Fourier transforms, and Laplace transforms.  


Assessment type Description Grade
Laboratory Work Practical Lab Assessment 10%
Test Tests (3) 50%
Report Laboratory Reports (3) 40%

Required reading

Fundamentals of Electric Circuits 7th ed.
Alexander, C.K., & M.N.O. Sadiku (2020)

Where to next?

As part of a course

This unit is studied as part of the following courses. Refer to the course page for information on how to apply for the course.

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