1 x 120-minute lecture weekly
1 x 120-minute tutorial weekly
1 x 60-minute workshop weekly
1 of MATH1122, MATH1204
Enrolment not permitted
ENGR8722 has been successfully completed
Topic description
Review of linear systems, vector spaces, orthogonality, eigenvalues and eigenvectors, linear transformations. Continuous and discrete time signals, unit impulse and unit step signals, impulse response, step response, linear time invariant (LTI) systems, convolution, correlation, system transfer function, frequency response, Fourier transform, DFT (Discrete Fourier Transform), Periodic signals, Fourier series, Nyquist frequency, sampling theorem, aliasing, Laplace transform, bilinear transfer functions, magnitude and phase responses, Bode plots.
Educational aims
This topic is an introduction to the concepts and theories of linear algebra and signal analysis and their application to engineering systems.
Expected learning outcomes
At the completion of this topic, students are expected to be able to:

  1. Understand Linear Algebra and Signal Analysis from a Mathematical perspective
  2. Be able to apply Linear Algebra and Signal Analysis to Engineering problems