Year
2021
Units
4.5
Contact
1 x 120-minute lecture weekly
1 x 120-minute tutorial weekly
1 x 60-minute workshop weekly
Prerequisites
MATH1122 - Mathematics 1B
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 aims to introduce the concepts and theories of linear algebra and signal analysis and their application to engineering systems.

Expected learning outcomes
On completion of this topic you will be 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

Key dates and timetable

(1), (2)

Each class is numbered in brackets.
Where more than one class is offered, students normally attend only one.

Classes are held weekly unless otherwise indicated.

FULL

If you are enrolled for this topic, but all classes for one of the activities (eg tutorials) are full,
contact your College Office for assistance. Full classes frequently occur near the start of semester.

Students may still enrol in topics with full classes as more places will be made available as needed.

If this padlock appears next to an activity name (eg Lecture), then class registration is closed for this activity.

Class registration normally closes at the end of week 2 of each semester.

Classes in a stream are grouped so that the same students attend all classes in that stream.
Registration in the stream will result in registration in all classes.
  Unless otherwise advised, classes are not held during semester breaks or on public holidays.