Mathematics 3B

MTH20014 12.5 Credit Points Hawthorn Available to incoming Study Abroad and Exchange students


  • One Semester or Equivalent

Contact hours

  • 60

On-campus unit delivery combines face-to-face and digital learning.

2021 teaching periods


Higher Ed. Semester 1

1 Mar 21 - 30 May 21

6 Jul 21

Last self enrolment:
14 Mar 21

31 Mar 21

Last withdraw without fail:
16 Apr 21

Aims and objectives

 This unit will be offered from 2018 and will replace MTH20005, MTH20006 and MTH20007
This unit of study aims to provide students with mathematical knowledge and skills needed to support their concurrent and subsequent engineering and science studies.
Unit Learning Outcomes (ULO)
Students who successfully complete this unit will be able to:

1. Calculate the eigenvalues and eigenvectors of 2x2 and 3x3 matrices (K2, S1).
2. Interpret the quadratic form and find its canonical form (K2, S1).
3. Use the Cayley-Hamilton theorem to simplify matrix powers (K2, S1).
4. Apply Vector Calculus to analyse and model processes that arise in scientific and engineering applications (K2, S1).
5. Apply Green’s theorem, Ostrogradsky-Gauss’ divergence theorem and Stokes’ theorem (K2, S1).
6. Perform operations with complex numbers, understand and use the concepts of analyticity and function singularities in computing contour integrals (K2, S1).

Courses with unit

This unit must be taken for disciplines in:
Robotics & Mechatronics Engineering,
Telecommunications Engineering,
Electrical and Electronic Engineering,
Biomedical Engineering
Mathematics majors/minors/co-majors