Mathematics 3B

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


  • One Semester or Equivalent

Contact hours

  • 60 hours face to face + blended

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

2023 teaching periods


Higher Ed. Semester 1

Higher Ed. Semester 2

27 Feb 23 - 28 May 23

4 Jul 23

Last self enrolment:
12 Mar 23

31 Mar 23

Last withdraw without fail:
14 Apr 23

31 Jul 23 - 29 Oct 23

5 Dec 23

Last self enrolment:
13 Aug 23

31 Aug 23

Last withdraw without fail:
15 Sep 23

Aims and objectives

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).
Swinburne Engineering Competencies (A1-7, K1-6, S1-4): find out more about Engineering Skills and Competencies including the Engineers Australia Stage 1 Competencies.